Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.174104
Viacheslav A. Chizhikov
Hexagon-boat-star (HBS) pentagonal tilings often appear in the description of decagonal quasicrystals and their periodic approximants. Being related to the Penrose tiling, they differ from the latter by a significantly higher packing density of vertices, which, in turn, depends on the relative frequency of appearance of the H, B and S tiles. Since boats (also known as “ivy leaves”) have the lowest packing density, reducing their number in the tiling leads to an increase in its packing density. The paper proposes an inflation rule for a chiral tiling, which, in principle, contains no boats and therefore has the highest possible density among HBS tilings. The relationship between the tiling and the real structures of crystal approximants of decagonal quasicrystals is discussed.
在描述十边形准晶体及其周期近似物时，经常会出现六方-船-星（HBS）五边形平铺。它们与彭罗斯平铺相关，但后者的不同之处在于顶点的堆积密度要高得多，而这又取决于 H、B 和 S 平铺出现的相对频率。由于小船（又称 "常春藤叶"）的堆积密度最低，因此减少小船在拼图中的数量会增加拼图的堆积密度。论文提出了手性瓦片的膨胀规则，原则上，手性瓦片不包含船，因此在 HBS 瓦片中具有最高的密度。论文还讨论了手性平铺与十边形准晶体近似晶体实际结构之间的关系。
{"title":"Inflation rules for a chiral pentagonal quasiperiodic tiling of stars and hexes","authors":"Viacheslav A. Chizhikov","doi":"10.1103/physrevb.110.174104","DOIUrl":"https://doi.org/10.1103/physrevb.110.174104","url":null,"abstract":"Hexagon-boat-star (HBS) pentagonal tilings often appear in the description of decagonal quasicrystals and their periodic approximants. Being related to the Penrose tiling, they differ from the latter by a significantly higher packing density of vertices, which, in turn, depends on the relative frequency of appearance of the H, B and S tiles. Since boats (also known as “ivy leaves”) have the lowest packing density, reducing their number in the tiling leads to an increase in its packing density. The paper proposes an inflation rule for a chiral tiling, which, in principle, contains no boats and therefore has the highest possible density among HBS tilings. The relationship between the tiling and the real structures of crystal approximants of decagonal quasicrystals is discussed.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"27 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Recent theoretical work has shown that higher-order moments of the Berry curvature, e.g., Berry curvature quadrupole and hexapole moments, can produce the leading order nonlinear anomalous Hall response (NLAH) in systems with special magnetic point group symmetry. Recent experimental work has reported the observation of the Berry curvature quadrupole-induced third-order NLAH (i.e., Hall voltage proportional to the third power of the external electric field) from cryogenic conditions to room temperature in an epitaxially grown material platform with broken time-reversal symmetry. In this paper, using semiclassical Boltzmann formalism in the relaxation time approximation, we compute the Berry curvature quadrupole-induced nonlinear anomalous thermal Hall and Nernst coefficients in time-reversal broken systems. In systems where Berry curvature monopole and dipole moments vanish by symmetry, our results predict the behavior of the leading order anomalous thermal Hall and Nernst coefficients proportional to the third power of the applied longitudinal temperature gradient. They are guaranteed to exist in systems that have already exhibited the third-order nonlinear anomalous Hall effect in recent experiments.
{"title":"Nonlinear anomalous transverse responses induced by the Berry curvature quadrupole in systems with broken time-reversal symmetry","authors":"Srimayi Korrapati, Snehasish Nandy, Sumanta Tewari","doi":"10.1103/physrevb.110.195119","DOIUrl":"https://doi.org/10.1103/physrevb.110.195119","url":null,"abstract":"Recent theoretical work has shown that higher-order moments of the Berry curvature, e.g., Berry curvature quadrupole and hexapole moments, can produce the leading order nonlinear anomalous Hall response (NLAH) in systems with special magnetic point group symmetry. Recent experimental work has reported the observation of the Berry curvature quadrupole-induced third-order NLAH (i.e., Hall voltage proportional to the third power of the external electric field) from cryogenic conditions to room temperature in an epitaxially grown material platform with broken time-reversal symmetry. In this paper, using semiclassical Boltzmann formalism in the relaxation time approximation, we compute the Berry curvature quadrupole-induced nonlinear anomalous thermal Hall and Nernst coefficients in time-reversal broken systems. In systems where Berry curvature monopole and dipole moments vanish by symmetry, our results predict the behavior of the leading order anomalous thermal Hall and Nernst coefficients proportional to the third power of the applied longitudinal temperature gradient. They are guaranteed to exist in systems that have already exhibited the third-order nonlinear anomalous Hall effect in recent experiments.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"68 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142589001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.205112
R. David Mayrhofer, Andrey V. Chubukov, Peter Wölfle
We analyze the quasiparticle interaction function (the fully dressed and antisymmetrized interaction between fermions) for a two-dimensional Fermi liquid at zero temperature close to a q=0 charge quantum critical point (QCP) in the <mjx-container ctxtmenu_counter="19" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(3 0 1 2)"><mjx-mrow data-semantic-children="0,2" data-semantic-content="1" data-semantic- data-semantic-owns="0 1 2" data-semantic-role="subtraction" data-semantic-speech="s minus w a v e" data-semantic-type="infixop"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="3" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>𝑠</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation="general:text" data-semantic- data-semantic-operator="infixop,−" data-semantic-parent="3" data-semantic-role="subtraction" data-semantic-type="operator" style='font-family: MJX-STX-ZERO, "Helvetica Neue", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style="font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;" variant="-explicitFont">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font="normal" data-semantic- data-semantic-parent="3" data-semantic-role="unknown" data-semantic-type="identifier" space="2"><mjx-c noic="true" style="padding-top: 0.485em;">w</mjx-c><mjx-c noic="true" style="padding-top: 0.485em;">a</mjx-c><mjx-c noic="true" style="padding-top: 0.485em;">v</mjx-c><mjx-c style="padding-top: 0.485em;">e</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> channel (the one leading to phase separation). By the Ward identities, this vertex function must be related to quasiparticle residue <mjx-container ctxtmenu_counter="20" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="0"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-role="latinletter" data-semantic-speech="upper Z" data-semantic-type="identifier"><mjx-c>𝑍</mjx-c></mjx-mi></mjx-math></mjx-container>, which can be obtained independently from the fermionic self-energy. We show that to satisfy these Ward identities, one needs to go beyond the standard diagrammatic formulation of Fermi-liquid theory and include a series of additional contributions to the vertex function. These contributions are not present in a conventional Fermi liquid, but do emerge near a QCP, where the effective 4-fermion interaction is mediated by a soft dynamical boson. We demonstrate explicitly that including these terms restores the Ward identity. Our analysis is built on previous studies of the vertex function near an antiferromag netic QCP [<span>Phys. Rev. B</span> <b>89</b>, 045108 (2014)] and a <mjx-container ctxtmenu_counter="21" ctxtmenu_oldtabinde
{"title":"Fermi liquid near a𝑞=0charge quantum critical point","authors":"R. David Mayrhofer, Andrey V. Chubukov, Peter Wölfle","doi":"10.1103/physrevb.110.205112","DOIUrl":"https://doi.org/10.1103/physrevb.110.205112","url":null,"abstract":"We analyze the quasiparticle interaction function (the fully dressed and antisymmetrized interaction between fermions) for a two-dimensional Fermi liquid at zero temperature close to a q=0 charge quantum critical point (QCP) in the <mjx-container ctxtmenu_counter=\"19\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"subtraction\" data-semantic-speech=\"s minus w a v e\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑠</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"3\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.485em;\">w</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.485em;\">a</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.485em;\">v</mjx-c><mjx-c style=\"padding-top: 0.485em;\">e</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> channel (the one leading to phase separation). By the Ward identities, this vertex function must be related to quasiparticle residue <mjx-container ctxtmenu_counter=\"20\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper Z\" data-semantic-type=\"identifier\"><mjx-c>𝑍</mjx-c></mjx-mi></mjx-math></mjx-container>, which can be obtained independently from the fermionic self-energy. We show that to satisfy these Ward identities, one needs to go beyond the standard diagrammatic formulation of Fermi-liquid theory and include a series of additional contributions to the vertex function. These contributions are not present in a conventional Fermi liquid, but do emerge near a QCP, where the effective 4-fermion interaction is mediated by a soft dynamical boson. We demonstrate explicitly that including these terms restores the Ward identity. Our analysis is built on previous studies of the vertex function near an antiferromag netic QCP [<span>Phys. Rev. B</span> <b>89</b>, 045108 (2014)] and a <mjx-container ctxtmenu_counter=\"21\" ctxtmenu_oldtabinde","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"1 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142589000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.184108
Yuzhen Yang, Han Jia, Yunhan Yang, Ping Zhou, Jun Yang
Resonant modes within phononic crystals exhibit remarkable capabilities for the effective control of acoustic waves. In this study, we examine an underwater system comprising bilayer periodic polymethyl methacrylate rods and investigate the behaviors of Fabry-Perot bound states in the continuum (BICs) by adjusting the interlayer spacing parameter and the side length of rectangular rods. Additionally, we demonstrate the evolutionary trajectories of the Fabry-Perot BICs within a two-dimensional parameter space. During the evolution process, we observe fascinating phenomena such as merging, annihilation, and regeneration of BICs. Notably, the merging of BICs enables the achievement of high 𝑄 resonance across a broadened range of geometric parameters. The outcomes of this investigation present more opportunities for the design of robust acoustic devices.
{"title":"Observation of merged Fabry-Perot bound states in the continuum within an underwater phononic crystal","authors":"Yuzhen Yang, Han Jia, Yunhan Yang, Ping Zhou, Jun Yang","doi":"10.1103/physrevb.110.184108","DOIUrl":"https://doi.org/10.1103/physrevb.110.184108","url":null,"abstract":"Resonant modes within phononic crystals exhibit remarkable capabilities for the effective control of acoustic waves. In this study, we examine an underwater system comprising bilayer periodic polymethyl methacrylate rods and investigate the behaviors of Fabry-Perot bound states in the continuum (BICs) by adjusting the interlayer spacing parameter and the side length of rectangular rods. Additionally, we demonstrate the evolutionary trajectories of the Fabry-Perot BICs within a two-dimensional parameter space. During the evolution process, we observe fascinating phenomena such as merging, annihilation, and regeneration of BICs. Notably, the merging of BICs enables the achievement of high <mjx-container ctxtmenu_counter=\"27\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mrow><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper Q\" data-semantic-type=\"identifier\"><mjx-c>𝑄</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> resonance across a broadened range of geometric parameters. The outcomes of this investigation present more opportunities for the design of robust acoustic devices.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"6 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142589002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.205411
Chloé Minnai, Andrea Vanzan, Luke C. Reidy, Alec P. LaGrow, Marcel Di Vece
Previous studies of metal nanoparticle plasmonic properties yielded various nontrivial effects beyond the simple dipole response to light, such as the higher-order plasmon modes and dark and bright localized surface plasmons. Another intriguing plasmonic effect is the reduction of bulk plasmon (BP) resonances strength due to the Begrenzung effect, a phenomenon of the BP resonance modifications at the surface, which has been experimentally observed before and mathematically derived. In this work the LSP and BP resonances of tin nanoparticles were studied with electron energy loss spectroscopy (EELS) up to 45 eV. The effect of the Begrenzung effect on the plasmon resonances is here determined by reduced experimental EELS signals on <mjx-container ctxtmenu_counter="28" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(9 0 7 (3 1 2) 8 (6 4 5))"><mjx-mrow data-semantic-annotation="clearspeak:unit" data-semantic-children="0,3,6" data-semantic-content="7,8" data-semantic- data-semantic-owns="0 7 3 8 6" data-semantic-role="implicit" data-semantic-speech="normal upper S normal i 3 normal upper N 4" data-semantic-type="infixop"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="9" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>S</mjx-c></mjx-mi><mjx-mo data-semantic-added="true" data-semantic- data-semantic-operator="infixop," data-semantic-parent="9" data-semantic-role="multiplication" data-semantic-type="operator"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children="1,2" data-semantic- data-semantic-owns="1 2" data-semantic-parent="9" data-semantic-role="latinletter" data-semantic-type="subscript"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="3" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>i</mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="3" data-semantic-role="integer" data-semantic-type="number" size="s"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added="true" data-semantic- data-semantic-operator="infixop," data-semantic-parent="9" data-semantic-role="multiplication" data-semantic-type="operator"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children="4,5" data-semantic- data-semantic-owns="4 5" data-semantic-parent="9" data-semantic-role="latinletter" data-semantic-type="subscript"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="6" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>N</mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mn data-semantic-annotation="clearspeak:simple" data
以往对金属纳米粒子质子特性的研究发现，除了简单的偶极子对光的响应之外，还存在各种非同寻常的效应，例如高阶等离子体模式以及暗色和明亮的局部表面等离子体。另一种有趣的等离子效应是由于贝格伦宗效应（Begrenzung effect）而导致的体等离子体（BP）共振强度降低，这是一种在表面发生的 BP 共振变化现象，之前已在实验中观察到，并在数学上得到了推导。在这项工作中，利用电子能量损失光谱（EELS）研究了锡纳米粒子的 LSP 和 BP 共振，最高可达 45 eV。贝格伦宗效应对等离子体共振的影响是通过 Si3N4 封装的锡纳米粒子上减少的实验 EELS 信号确定的，并通过详细的模拟分析加以解释。这些模拟揭示了贝格伦宗效应在多种能量下的普遍表现。SiNx 包裹的锡纳米粒子中多重等离子体共振的解缠证明了丰富的等离子体现象，这些现象已被全面绘制，从而可以精确定制等离子体特性，直至极端紫外线能量。
{"title":"Begrenzung effect inSi3N4encapsulated plasmonic Sn nanoparticles","authors":"Chloé Minnai, Andrea Vanzan, Luke C. Reidy, Alec P. LaGrow, Marcel Di Vece","doi":"10.1103/physrevb.110.205411","DOIUrl":"https://doi.org/10.1103/physrevb.110.205411","url":null,"abstract":"Previous studies of metal nanoparticle plasmonic properties yielded various nontrivial effects beyond the simple dipole response to light, such as the higher-order plasmon modes and dark and bright localized surface plasmons. Another intriguing plasmonic effect is the reduction of bulk plasmon (BP) resonances strength due to the Begrenzung effect, a phenomenon of the BP resonance modifications at the surface, which has been experimentally observed before and mathematically derived. In this work the LSP and BP resonances of tin nanoparticles were studied with electron energy loss spectroscopy (EELS) up to 45 eV. The effect of the Begrenzung effect on the plasmon resonances is here determined by reduced experimental EELS signals on <mjx-container ctxtmenu_counter=\"28\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(9 0 7 (3 1 2) 8 (6 4 5))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3,6\" data-semantic-content=\"7,8\" data-semantic- data-semantic-owns=\"0 7 3 8 6\" data-semantic-role=\"implicit\" data-semantic-speech=\"normal upper S normal i 3 normal upper N 4\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>S</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>i</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"4,5\" data-semantic- data-semantic-owns=\"4 5\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>N</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"79 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142589098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.195117
Han Yan (闫寒), Judit Romhányi, Andreas Thomasen, Nic Shannon
“Half moons,” distinctive crescent patterns in the dynamical structure factor, have been identified in inelastic neutron scattering experiments for a wide range of frustrated magnets. In an earlier paper [H. Yan et al., Phys. Rev. B98, 140402(R) (2018)] we have shown how these features are linked to the local constraints realized in classical spin liquids. Here, we explore their implication for the topology of magnon bands. The presence of half moons indicates a separation of magnetic degrees of freedom into irrotational and incompressible components. Where bands satisfying these constraints meet, it is at a singular point encoding Berry curvature of ±2𝜋. Interactions which mix the bands open a gap, resolving the singularity, and leading to bands with finite Berry curvature, accompanied by characteristic changes to half-moon motifs. These results imply that inelastic neutron scattering can, in some cases, be used to make rigorous inference about the topological nature of magnon bands.
动态结构因子中的 "半月"，即独特的新月形图案，已在各种受挫磁体的非弹性中子散射实验中被发现。在早先的一篇论文[H. Yan 等，Phys. Rev. B 98, 140402(R) (2018)]中，我们已经展示了这些特征是如何与经典自旋液体中实现的局部约束联系在一起的。在此，我们探讨了它们对磁子带拓扑结构的影响。半月的存在表明磁自由度被分离成不可旋转和不可压缩的部分。在满足这些约束条件的磁带交汇处，是一个奇异点，它编码了±2𝜋的贝里曲率。混合波段的相互作用打开了一个缺口，解决了奇点问题，导致波段具有有限的贝里曲率，并伴随着半月形图案的特征变化。这些结果意味着，在某些情况下，非弹性中子散射可用于对磁子带的拓扑性质进行严格推断。
{"title":"Pinch points and half moons encode Berry curvature","authors":"Han Yan (闫寒), Judit Romhányi, Andreas Thomasen, Nic Shannon","doi":"10.1103/physrevb.110.195117","DOIUrl":"https://doi.org/10.1103/physrevb.110.195117","url":null,"abstract":"“Half moons,” distinctive crescent patterns in the dynamical structure factor, have been identified in inelastic neutron scattering experiments for a wide range of frustrated magnets. In an earlier paper [H. Yan <i>et al.</i>, <span>Phys. Rev. B</span> <b>98</b>, 140402(R) (2018)] we have shown how these features are linked to the local constraints realized in classical spin liquids. Here, we explore their implication for the topology of magnon bands. The presence of half moons indicates a separation of magnetic degrees of freedom into irrotational and incompressible components. Where bands satisfying these constraints meet, it is at a singular point encoding Berry curvature of <mjx-container ctxtmenu_counter=\"27\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 (4 1 3 2))\"><mjx-mrow data-semantic-children=\"4\" data-semantic-content=\"0\" data-semantic- data-semantic-owns=\"0 4\" data-semantic-role=\"addition\" data-semantic-speech=\"plus or minus 2 pi\" data-semantic-type=\"prefixop\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,±\" data-semantic-parent=\"5\" data-semantic-role=\"addition\" data-semantic-type=\"operator\"><mjx-c>±</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"1,2\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"1 3 2\" data-semantic-parent=\"5\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"4\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜋</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-math></mjx-container>. Interactions which mix the bands open a gap, resolving the singularity, and leading to bands with finite Berry curvature, accompanied by characteristic changes to half-moon motifs. These results imply that inelastic neutron scattering can, in some cases, be used to make rigorous inference about the topological nature of magnon bands.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"16 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.205114
Pavlo Sukhachov, Jacob Linder
We investigate the Friedel oscillations of the local density of states (LDOS) induced by a single impurity with both a spin-independent potential and an exchange coupling to the electrons in altermagnets and unconventional 𝑝-wave magnets. We identify features that make the Friedel oscillations and magnetization distinct from other materials with nontrivial spin texture such as Rashba metals. Because time-reversal symmetry is broken in altermagnets, both magnetic and nonmagnetic impurities lead to local magnetization with the spatial pattern that reflects the symmetry of the altermagnetic splitting. The period of the corresponding oscillations provides an alternative way to quantify the altermagnetic spin splitting and the shape of the altermagnetic bands. The LDOS pattern in 𝑝-wave magnets, which respect combined time-reversal and translation symmetries, is rich. It reveals anisotropy related directly to the spin splitting, but surprisingly also features LDOS oscillations with a doubled period in the proximity of the impurity. The latter effect is also observed in a Rashba metal with an exchange field and originates from the interplay of propagating and evanescent waves. The obtained results are instrumental for investigating altermagnets and unconventional 𝑝-wave magnets via tunneling probes.
{"title":"Impurity-induced Friedel oscillations in altermagnets and𝑝-wave magnets","authors":"Pavlo Sukhachov, Jacob Linder","doi":"10.1103/physrevb.110.205114","DOIUrl":"https://doi.org/10.1103/physrevb.110.205114","url":null,"abstract":"We investigate the Friedel oscillations of the local density of states (LDOS) induced by a single impurity with both a spin-independent potential and an exchange coupling to the electrons in altermagnets and unconventional <mjx-container ctxtmenu_counter=\"104\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"p\" data-semantic-type=\"identifier\"><mjx-c>𝑝</mjx-c></mjx-mi></mjx-math></mjx-container>-wave magnets. We identify features that make the Friedel oscillations and magnetization distinct from other materials with nontrivial spin texture such as Rashba metals. Because time-reversal symmetry is broken in altermagnets, both magnetic and nonmagnetic impurities lead to local magnetization with the spatial pattern that reflects the symmetry of the altermagnetic splitting. The period of the corresponding oscillations provides an alternative way to quantify the altermagnetic spin splitting and the shape of the altermagnetic bands. The LDOS pattern in <mjx-container ctxtmenu_counter=\"105\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"p\" data-semantic-type=\"identifier\"><mjx-c>𝑝</mjx-c></mjx-mi></mjx-math></mjx-container>-wave magnets, which respect combined time-reversal and translation symmetries, is rich. It reveals anisotropy related directly to the spin splitting, but surprisingly also features LDOS oscillations with a doubled period in the proximity of the impurity. The latter effect is also observed in a Rashba metal with an exchange field and originates from the interplay of propagating and evanescent waves. The obtained results are instrumental for investigating altermagnets and unconventional <mjx-container ctxtmenu_counter=\"106\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"p\" data-semantic-type=\"identifier\"><mjx-c>𝑝</mjx-c></mjx-mi></mjx-math></mjx-container>-wave magnets via tunneling probes.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"28 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142589004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.174409
C. Spezzaniet al.
We have generated elliptically polarized femtosecond pulses from a seeded free-electron laser (FEL) in the spectral range 700–800 eV and conducted demonstrative experiments based on magnetic circular dichroism, at the Fe <mjx-container ctxtmenu_counter="29" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(2 0 1)"><mjx-msub data-semantic-children="0,1" data-semantic- data-semantic-owns="0 1" data-semantic-role="latinletter" data-semantic-speech="upper L 3" data-semantic-type="subscript"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="2" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>𝐿</mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="2" data-semantic-role="integer" data-semantic-type="number" size="s"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> edge. This was achieved by making use of the radiation produced at the third harmonic of the fundamental FEL wavelength <i>λ</i>. A planar radiator emits linearly polarized harmonics along the undulator axis, while a helical undulator produces off-axis harmonic radiation with circular polarization. However, off-axis circularly polarized light is characterized by a rather low flux and, as a result, it is unsuitable for most experiments that rely on circular dichroism. Here, we demonstrate that on-axis radiation with a substantial degree of circular polarization at <i>λ</i>/3 can be generated using a variable-polarization (APPLE-type) radiator, finely tuned in a hybrid-polarization mode. The experiments, which demonstrate the potential of the adopted configuration for magnetic dichroism studies, were carried out at the FERMI FEL facility in Trieste (Italy). These results pave the way to experiments at the <mjx-container ctxtmenu_counter="30" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(9 (6 0 5 1) 2 (8 3 7 4))"><mjx-mrow data-semantic-children="6,8" data-semantic-content="2" data-semantic- data-semantic-owns="6 2 8" data-semantic-role="subtraction" data-semantic-speech="2 p minus 3 d" data-semantic-type="infixop"><mjx-mrow data-semantic-added="true" data-semantic-annotation="clearspeak:simple;clearspeak:unit" data-semantic-children="0,1" data-semantic-content="5" data-semantic- data-semantic-owns="0 5 1" data-semantic-parent="9" data-semantic-role="implicit" data-semantic-type="infixop"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="6" data-semantic-role="integer" data-semantic-type="number"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic-added="true" data-semantic-
我们从 700-800 eV 光谱范围内的种子自由电子激光器 (FEL) 中产生了椭圆偏振飞秒脉冲，并在铁 𝐿3 边缘进行了基于磁性圆二色性的演示实验。这是通过利用 FEL 基本波长 λ 的三次谐波产生的辐射实现的。平面辐射器沿着起振器轴线发射线性偏振谐波，而螺旋起振器则产生圆偏振离轴谐波辐射。然而，离轴圆偏振光的通量很低，因此不适合大多数依赖圆二色性的实验。在这里，我们证明了使用可变偏振（APPLE 型）辐射器，在混合偏振模式下进行微调，可以产生在 λ/3 处具有相当程度圆偏振的轴向辐射。这些实验在意大利的里雅斯特的 FERMI FEL 设备上进行，证明了所采用的配置在磁二色性研究方面的潜力。这些结果为在与磁性研究最相关的过渡金属（铁、钴、镍）的 2𝑝-3𝑑共振处进行实验铺平了道路，并使在同一种子射频辐射源上进行研究成为可能，例如，利用不同的核心-空穴寿命进行光谱研究，涵盖𝑀（50-70 eV）和𝐿（600-900 eV）边。
{"title":"Circular dichroism experiments at the𝐿edge of magnetic transition metals enabled by elliptically polarized pulses from a seeded free-electron laser","authors":"C. Spezzaniet al.","doi":"10.1103/physrevb.110.174409","DOIUrl":"https://doi.org/10.1103/physrevb.110.174409","url":null,"abstract":"We have generated elliptically polarized femtosecond pulses from a seeded free-electron laser (FEL) in the spectral range 700–800 eV and conducted demonstrative experiments based on magnetic circular dichroism, at the Fe <mjx-container ctxtmenu_counter=\"29\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper L 3\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐿</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> edge. This was achieved by making use of the radiation produced at the third harmonic of the fundamental FEL wavelength <i>λ</i>. A planar radiator emits linearly polarized harmonics along the undulator axis, while a helical undulator produces off-axis harmonic radiation with circular polarization. However, off-axis circularly polarized light is characterized by a rather low flux and, as a result, it is unsuitable for most experiments that rely on circular dichroism. Here, we demonstrate that on-axis radiation with a substantial degree of circular polarization at <i>λ</i>/3 can be generated using a variable-polarization (APPLE-type) radiator, finely tuned in a hybrid-polarization mode. The experiments, which demonstrate the potential of the adopted configuration for magnetic dichroism studies, were carried out at the FERMI FEL facility in Trieste (Italy). These results pave the way to experiments at the <mjx-container ctxtmenu_counter=\"30\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(9 (6 0 5 1) 2 (8 3 7 4))\"><mjx-mrow data-semantic-children=\"6,8\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"6 2 8\" data-semantic-role=\"subtraction\" data-semantic-speech=\"2 p minus 3 d\" data-semantic-type=\"infixop\"><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"5\" data-semantic- data-semantic-owns=\"0 5 1\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic-","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"115 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142589103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-06DOI: 10.1103/physrevb.110.184201
Stefano Longhi
Mosaic lattice models have been recently introduced as a special class of disordered systems displaying resonance energies, multiple mobility edges, and anomalous transport properties. In such systems on-site potential disorder, either uncorrelated or incommensurate, is introduced solely at every equally spaced site within the lattice, with a spacing 𝑀≥2. A remarkable property of disordered mosaic lattices is the persistence of extended states at some resonance frequencies that prevent complete Anderson localization, even in the strong disorder regime. Here we introduce a broader class of mosaic lattices and derive general expressions of mobility edges and localization length for incommensurate sinusoidal disorder, which generalize previous results [Y. Wang et al., Phys. Rev. Lett.125, 196604 (2020).]. For both incommensurate and uncorrelated disorder, we prove that Anderson localization is protected by the open gaps of the disorder-free lattice, and derive some general criteria for complete Anderson localization. The results are illustrated by considering a few models, such as the mosaic Su-Schrieffer-Heeger (SSH) model and the trimer mosaic lattice.
镶嵌晶格模型是最近提出的一类特殊的无序系统，具有共振能量、多迁移率边缘和反常输运特性。在这类系统中，现场势能无序（不相关或不相称）仅在晶格内每个等间距位点引入，间距𝑀≥2。无序镶嵌晶格的一个显著特性是在某些共振频率上存在扩展态，即使在强无序状态下也能阻止安德森的完全定位。在此，我们引入了一类更广泛的镶嵌晶格，并推导出了不相称正弦无序的流动边缘和局域化长度的一般表达式，这是对先前结果的推广[Y. Wang 等人，Phys.对于不相称无序和不相关无序，我们都证明了安德森定位受到无序晶格开放间隙的保护，并推导出完全安德森定位的一些一般标准。通过考虑一些模型，如镶嵌苏-施里弗-希格（SSH）模型和三聚镶嵌晶格，对结果进行了说明。
{"title":"Resonances, mobility edges, and gap-protected Anderson localization in generalized disordered mosaic lattices","authors":"Stefano Longhi","doi":"10.1103/physrevb.110.184201","DOIUrl":"https://doi.org/10.1103/physrevb.110.184201","url":null,"abstract":"Mosaic lattice models have been recently introduced as a special class of disordered systems displaying resonance energies, multiple mobility edges, and anomalous transport properties. In such systems on-site potential disorder, either uncorrelated or incommensurate, is introduced solely at every equally spaced site within the lattice, with a spacing <mjx-container ctxtmenu_counter=\"56\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"inequality\" data-semantic-speech=\"upper M greater than or equals 2\" data-semantic-type=\"relseq\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑀</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"relseq,≥\" data-semantic-parent=\"3\" data-semantic-role=\"inequality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>≥</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" space=\"4\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-math></mjx-container>. A remarkable property of disordered mosaic lattices is the persistence of extended states at some resonance frequencies that prevent complete Anderson localization, even in the strong disorder regime. Here we introduce a broader class of mosaic lattices and derive general expressions of mobility edges and localization length for incommensurate sinusoidal disorder, which generalize previous results [Y. Wang <i>et al.</i>, <span>Phys. Rev. Lett.</span> <b>125</b>, 196604 (2020).]. For both incommensurate and uncorrelated disorder, we prove that Anderson localization is protected by the open gaps of the disorder-free lattice, and derive some general criteria for complete Anderson localization. The results are illustrated by considering a few models, such as the mosaic Su-Schrieffer-Heeger (SSH) model and the trimer mosaic lattice.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"38 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：