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Superconductivity of underdoped PrFeAs(O,F) investigated via point-contact spectroscopy and nuclear magnetic resonance 利用点接触光谱和核磁共振技术研究了欠掺杂PrFeAs(O,F)的超导性
Pub Date : 2020-09-10 DOI: 10.1103/PhysRevB.102.104513
D. Daghero, E. Piatti, Nikolai Zhigadlo, G. Ummarino, N. Barbero, T. Shiroka
Underdoped PrFeAs(O,F), one of the less known members of the 1111 family of iron-based superconductors, was investigated in detail by means of transport, SQUID magnetometry, nuclear magnetic resonance (NMR) measurements and point-contact Andreev-reflection spectroscopy (PCARS). PCARS measurements on single crystals evidence the multigap nature of PrFeAs(O,F) superconductivity, shown to host at least two isotropic gaps, clearly discernible in the spectra, irrespective of the direction of current injection (i.e., along the ab planes or along the c axis). Additional features at higher energy can be interpreted as signatures of a strong electron-boson coupling, as demonstrated by a model which combines Andreev reflection with the Eliashberg theory. Magnetic resonance measurements in the normal phase indicate the lack of a magnetic order in underdoped PrFeAs(O,F), while $^{75}$As NMR spin-lattice relaxation results suggest the presence of significant electronic spin fluctuations, peaking above $T_{c}$ and expected to mediate the superconducting pairing.
利用输运、SQUID磁强计、核磁共振(NMR)测量和点接触andreev -反射光谱(PCARS)等方法对铁基超导体1111家族中鲜为人知的欠掺杂PrFeAs(O,F)进行了详细的研究。在单晶上的PCARS测量证明了PrFeAs(O,F)超导的多间隙性质,显示出至少有两个各向同性的间隙,在光谱中可以清楚地识别,无论电流注入的方向(即沿ab平面或沿c轴)。高能量下的附加特征可以解释为强电子-玻色子耦合的特征,正如结合Andreev反射和Eliashberg理论的模型所证明的那样。正相的磁共振测量结果表明,欠掺杂的PrFeAs(O,F)缺乏磁序,而$^{75}$As的核磁共振自旋晶格弛豫结果表明,存在显著的电子自旋涨落,在$T_{c}$以上达到峰值,有望介导超导配对。
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引用次数: 5
Imprint of charge and oxygen orders on Dy ions in DyBa2Cu3O6+x thin films probed by resonant x-ray scattering 共振x射线散射探测DyBa2Cu3O6+x薄膜中Dy离子的电荷和氧序压印
Pub Date : 2020-09-08 DOI: 10.1103/physrevb.102.195149
D. Betto, M. Bluschke, D. Putzky, E. Schierle, A. Amorese, K. Fursich, S. Blanco-Canosa, G. Christiani, G. Logvenov, B. Keimer, M. Minola
We used resonant elastic x-ray scattering at the Cu $L_3$ and Dy $M_5$ edges to investigate charge order in thin films of underdoped DyBa$_2$Cu$_3$O$_{6+x}$ (DyBCO) epitaxially grown on NdGaO$_3$ (110) substrates. The films show an orthorhombic crystal structure with short-range ortho-II oxygen order in the charge-reservoir layers. At the Dy $M_5$ edge we observe diffraction peaks with the same planar wavevectors as those of the two-dimensional charge density wave in the CuO$_2$ planes and of the ortho-II oxygen order, indicating the formation of induced ordered states on the rare-earth sublattice. The intensity of the resonant diffraction peaks exhibits a non-monotonic dependence on an external magnetic field. Model calculations on the modulation of the crystalline electric field at the Dy sites by charge and oxygen order capture the salient features of the magnetic field, temperature, and photon energy dependence of the scattering intensity.
利用Cu$ L_3$和Dy $M_5$边缘的共振弹性x射线散射研究了在NdGaO$_3$(110)衬底上外延生长的欠掺杂DyBa$_2$Cu$_3$O$_{6+x}$ (DyBCO)薄膜的电荷顺序。在电荷储层中,薄膜呈现出具有近程邻二氧序的正交晶型结构。在Dy $M_5$边缘,我们观察到与CuO$_2$平面上的二维电荷密度波具有相同平面波向量的衍射峰和正ii氧阶的衍射峰,表明稀土亚晶格上形成了诱导有序态。谐振衍射峰的强度与外加磁场呈非单调关系。通过电荷和氧阶对Dy位晶体电场调制的模型计算,捕捉到了磁场、温度和散射强度对光子能量依赖的显著特征。
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引用次数: 1
Anomalous softening of phonon dispersion in cuprate superconductors 铜超导体中声子色散的反常软化
Pub Date : 2020-09-07 DOI: 10.1103/PHYSREVRESEARCH.3.013162
Saheli Sarkar, M. Grandadam, C. P'epin
A softening of phonon-dispersion has been observed experimentally in under-doped cuprate superconductors at the charge-density wave (CDW) ordering wave vector. Interestingly, the softening occurs below the superconducting (SC) transition temperature T$_{c}$, in contrast to the metallic systems, where the softening occurs usually below the CDW onset temperature T$_{text{CDW}}$. An understanding of the `anomalous' nature of the phonon-softening and its connection to the pseudo-gap phase in under-doped cuprates remain open questions. Within a perturbative approach, we show that a complex interplay among the ubiquitous CDW, SC orders and life-time of quasi-particles associated to thermal fluctuations, can explain the anomalous phonon-softening below T$_{c}$. Furthermore, our formalism captures different characteristics of the low temperature phonon-softening depending on material specificity.
在低掺杂铜超导体中,在电荷密度波(CDW)有序波矢量上观察到声子色散的软化。有趣的是,软化发生在超导(SC)转变温度T$_{c}$以下,而金属体系的软化通常发生在CDW起始温度T$_{text{CDW}}$以下。对低掺杂铜酸盐中声子软化的“异常”性质及其与伪间隙相的联系的理解仍然是一个悬而未决的问题。在微扰方法中,我们证明了普遍存在的CDW, SC阶和与热波动相关的准粒子寿命之间的复杂相互作用可以解释T$_{c}$以下的异常声子软化。此外,我们的形式捕捉到低温声子软化的不同特性,这取决于材料的特殊性。
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引用次数: 3
Two-gap to Single-gap Superconducting Transition on a Honeycomb Lattice in Ca$_{1-x}$Sr$_{x}$AlSi Ca$ {1-x}$Sr$ {x}$AlSi中蜂窝晶格的双间隙到单间隙超导跃迁
Pub Date : 2020-09-04 DOI: 10.1103/PhysRevResearch.3.033192
Dorota I. Walicka, Z. Guguchia, J. Lago, O. Blacque, K. Ma, R. Khasanov, F. O. Rohr
It is a well-established fact that the physical properties of compounds follow their crystal symmetries. This has especially pronounced implications on emergent collective quantum states in materials. Specifically, the effect of crystal symmetries on the properties of superconductors is widely appreciated, although the clarification of this relationship is a core effort of on-going research. Emergent phenomena on honeycomb lattices are of special interest, as they can give rise to spectacular phenomenology, as manifested by the recent discovery of correlated states in magic-angle graphene, or by the high-temperature superconductivity in MgB$_2$. Here, we report on the structural and microscopic superconducting properties of a class of ternary superconductors with Al/Si honeycomb layers, i.e. Ca$_{1-x}$Sr$_{x}$AlSi. We show that this solid solution is a remarkable model system with a highly tunable two-gap to single-gap superconducting system on a honeycomb lattice, where the superconductivity is enhanced by a subtle structural instability, i.e. the buckling of the Al/Si layers.
化合物的物理性质遵循它们的晶体对称性,这是一个公认的事实。这对材料中涌现的集体量子态具有特别显著的意义。具体来说,晶体对称性对超导体性质的影响得到了广泛的认可,尽管澄清这种关系是正在进行的研究的核心工作。蜂窝晶格上的涌现现象是特别有趣的,因为它们可以产生壮观的现象,如最近在魔角石墨烯中发现的相关态,或MgB$_2$中的高温超导性。本文报道了一类具有Al/Si蜂窝层的三元超导体,即Ca$ {1-x}$Sr$ {x}$AlSi的结构和微观超导性能。我们表明,这种固溶体是一个非凡的模型系统,在蜂窝晶格上具有高度可调的双间隙到单间隙超导系统,其中超导性通过微妙的结构不稳定性(即Al/Si层的屈曲)得到增强。
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引用次数: 2
Boundary topological superconductors 边界拓扑超导体
Pub Date : 2020-09-02 DOI: 10.1103/PHYSREVB.103.064512
Bo Li, Zhongbo Yan
For strongly anisotropic time-reversal invariant (TRI) insulators in two and three dimensions, the band inversion can occur respectively at all TRI momenta of a high symmetry axis and plane. Although these classes of materials are topologically trivial as the strong and weak $Z_{2}$ indices are all trivial, they can host an even number of unprotected helical gapless edge states or surface Dirac cones on some boundaries. We show in this work that when the gapless boundary states are gapped by $s_{pm}$-wave superconductivity, a boundary time-reversal invariant topological superconductor (BTRITSC) characterized by a $Z_{2}$ invariant can be realized on the corresponding boundary. Since the dimension of the BTRITSC is lower than the bulk by one, the whole system is a second-order TRI topological superconductor. When the boundary of the BTRITSC is further cut open, Majorana Kramers pairs and helical gapless Majorana modes will respectively appear at the corners and hinges of the considered sample in two and three dimensions. Furthermore, a magnetic field can gap the helical Majorana hinge modes of the three-dimensional second-order TRI topological superconductor and lead to the realization of a third-order topological superconductor with Majorana corner modes. Our proposal can potentially be realized in insulator-superconductor heterostructures and iron-based superconductors whose normal states take the desired inverted band structures.
对于二维和三维强各向异性时反转不变(TRI)绝缘子,在高对称轴和面的所有TRI动量处都可以分别发生能带反转。虽然这类材料在拓扑上是平凡的,因为强Z_{2}$指标和弱Z_{2}$指标都是平凡的,但它们可以在某些边界上拥有偶数个无保护的螺旋无间隙边缘状态或表面狄拉克锥。我们在这项工作中表明,当无间隙边界态被$s_{pm}$-波超导性所间隙时,可以在相应的边界上实现具有$Z_{2}$不变量的边界时间反转不变拓扑超导体(BTRITSC)。由于BTRITSC的尺寸比本体小1,因此整个系统是二阶TRI拓扑超导体。当进一步切开BTRITSC的边界时,所考虑的样品的转角和铰链处分别会出现二维和三维的Majorana Kramers对和螺旋无间隙Majorana模态。此外,磁场可以使三维二阶TRI拓扑超导体的螺旋马约拉纳铰链模式发生间隙,从而实现具有马约拉纳角模式的三阶拓扑超导体。我们的建议有可能在绝缘体超导体异质结构和铁基超导体中实现,其正常状态采取所需的倒带结构。
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引用次数: 6
Superconducting mechanism for the cuprate Ba2CuO3+δ based on a multiorbital Lieb lattice model 基于多轨道Lieb晶格模型的Ba2CuO3+δ铜的超导机理
Pub Date : 2020-09-02 DOI: 10.1103/physrevresearch.2.033356
K. Yamazaki, M. Ochi, D. Ogura, K. Kuroki, H. Eisaki, S. Uchida, H. Aoki
The authors introduce a multiorbital model with a Lieb-lattice structure to show that the disrupted CuO network in Ba${}_{2}$CuO${}_{3+ensuremath{delta}}$ can accommodate new pairing mechanisms
为了证明Ba${}_{2}$CuO${}_{3+ensuremath{delta}}$中被破坏的CuO网络可以容纳新的配对机制,作者引入了一个具有lieb晶格结构的多轨道模型
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引用次数: 9
Hidden anomalous Hall effect in Sr2RuO4 with chiral superconductivity dominated by the Ru dxy orbital Sr2RuO4中以Ru dxy轨道为主导的手性超导的隐藏异常霍尔效应
Pub Date : 2020-08-31 DOI: 10.1103/physrevb.102.180509
Jia-Long Zhang, Yu Li, Wen Huang, Fu-Chun Zhang
The polar Kerr effect in superconducting Sr$_2$RuO$_4$ implies finite ac anomalous Hall conductivity. Since intrinsic anomalous Hall effect (AHE) is not expected for a chiral superconducting pairing developed on the single Ru $d_{xy}$ orbital, multiorbital chiral pairing actively involving the Ru $d_{xz}$ and $d_{yz}$ orbitals has been proposed as a potential mechanism. Here we propose that AHE could still arise even if the chiral superconductivity is predominantly driven by the $d_{xy}$ orbital. This is demonstrated through two separate models which take into account subdominant orbitals in the Cooper pairing, one involving the oxygen $p_x$ and $p_y$ orbitals in the RuO$_2$ plane, and another the $d_{xz}$ and $d_{yz}$ orbitals. In both models, finite orbital mixing between the dominant $d_{xy}$ and the other orbitals may induce inter-orbital pairing between them, and the resultant states support intrinsic AHE, with Kerr rotation angles that could potentially reconcile with the experimental observation. Our proposal therefore sheds new light on the microscopic pairing in Sr$_2$RuO$_4$. We also show that intrinsic Hall effect is generally absent for non-chiral states such as $mathcal{S}+imathcal{D}$, $mathcal{D}+imathcal{P}$ and $mathcal{D}+imathcal{G}$, which provides a clear constraint on the symmetry of the superconducting order in this material.
超导材料Sr$_2$RuO$_4$中的极性克尔效应意味着有限交流异常霍尔电导率。由于在单个Ru $d_{xy}$轨道上发展的手性超导对不存在本征异常霍尔效应,因此提出了积极涉及Ru $d_{xz}$和$d_{yz}$轨道的多轨道手性对作为一种潜在的机制。在这里,我们提出即使手性超导主要是由$d_{xy}$轨道驱动,AHE仍然可能产生。这是通过两个单独的模型来证明的,它们考虑了库珀对中的亚优势轨道,一个涉及到RuO$_2$平面上的氧$p_x$和$p_y$轨道,另一个涉及到$d_{xz}$和$d_{yz}$轨道。在这两种模型中,占主导地位的$d_{xy}$和其他轨道之间的有限轨道混合可能导致它们之间的轨道间配对,并且所得到的态支持本然AHE,克尔旋转角可能与实验观测相一致。因此,我们的建议为Sr$_2$RuO$_4$的微观配对提供了新的思路。本征霍尔效应在$mathcal{S}+imathcal{D}$、$mathcal{D}+imathcal{P}$和$mathcal{D}+imathcal{G}$等非手性态中普遍不存在,这为该材料超导序的对称性提供了明确的约束。
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引用次数: 5
Charge density waves beyond the Pauli paramagnetic limit in 2D systems 二维系统中超过泡利顺磁极限的电荷密度波
Pub Date : 2020-08-28 DOI: 10.1063/5.0015993
A. Aperis, G. Varelogiannis
Two-dimensional materials are ideal candidates to host Charge density waves (CDWs) that exhibit paramagnetic limiting behavior, similarly to the well known case of superconductors. Here we study how CDWs in two-dimensional systems can survive beyond the Pauli limit when they are subjected to a strong magnetic field by developing a generalized mean-field theory of CDWs under Zeeman fields that includes incommensurability, imperfect nesting and temperature effects and the possibility of a competing or coexisting Spin density wave (SDW) order. Our numerical calculations yield rich phase diagrams with distinct high-field phases above the Pauli limiting field. For perfectly nested commensurate CDWs, a $q$-modulated CDW phase that is completely analogous to the superconducting Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase appears at high-fields. In the more common case of imperfect nesting, the commensurate CDW groundstate undergoes a series of magnetic-field-induced phase transitions first into a phase where commensurate CDW and SDW coexist and subsequently into another phase where CDW and SDW acquire a $q$-modulation that is however distinct from the pure FFLO CDW phase. The commensurate CDW+SDW phase occurs for fields comparable to but less than the Pauli limit and survives above it. Thus this phase provides a plausible mechanism for the CDW to survive at high fields without the need of forming the more fragile FFLO phase. We suggest that the recently discovered 2D materials like the transition metal dichalcogenides offer a promising platform for observing such exotic field induced CDW phenomena.
二维材料是承载电荷密度波(cdw)的理想候选材料,它们表现出顺磁限制行为,类似于众所周知的超导体。本文通过建立塞曼场下cdw的广义平均场理论,研究了二维系统中的cdw在强磁场作用下如何在泡利极限之外存活,其中包括不可通约性、不完美嵌套效应和温度效应以及竞争或共存自旋密度波(SDW)顺序的可能性。我们的数值计算得到了丰富的相图,在泡利极限场以上具有明显的高场相。对于完全嵌套的相称CDW,在高场出现了一个完全类似于超导Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)相的$q$调制CDW相位。在不完全套接的更常见情况下,相应的CDW基态经历一系列磁场诱导的相变,首先进入相应的CDW和SDW共存的阶段,随后进入CDW和SDW获得$q$调制的另一个阶段,但与纯FFLO CDW相不同。相应的CDW+SDW阶段发生在与泡利极限相当但小于泡利极限的油田,并在泡利极限以上存活。因此,这一阶段为CDW在高油田生存提供了一种合理的机制,而不需要形成更脆弱的FFLO阶段。我们认为,最近发现的二维材料,如过渡金属二硫族化合物,为观察这种外来场诱导的CDW现象提供了一个有希望的平台。
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引用次数: 1
Unconventional Superconductivity Induced by Suppressing an Iron-Selenium-Based Mott Insulator CsFe4−xSe4 抑制铁硒基Mott绝缘体CsFe4−xSe4诱导的非常规超导性
Pub Date : 2020-08-27 DOI: 10.1103/physrevx.10.041008
Jin Si, Guanyu Chen, Qing Li, Xiyu Zhu, Huan Yang, H. Wen
There are several FeSe based superconductors, including the bulk FeSe, monolayer FeSe thin film, intercalated KxFe2-ySe2 and Li1-xFexOHFeSe, etc. Their normal states all show metallic behavior. The key player here is the FeSe layer which exhibits the highest superconducting transition temperature in the form of monolayer thin film. Recently a new FeSe based compound, CsFe4-xSe4 with the space group of Bmmm was found. Interestingly the system shows a strong insulator-like behavior although it shares the same FeSe planes as other relatives. Density functional theory calculations indicate that it should be a metal, in sharp contrast with the experimental observations. Here we report the emergence of unconventional superconductivity by applying pressure to suppress this insulator-like behavior. At ambient pressure, the insulator-like behavior cannot be modeled as a band insulator, but can be described by the variable-range-hopping model for correlated systems. Furthermore, the specific heat down to 400 mK has been measured and a significant residual coefficient gamma_0=C/T|T->0 is observed, which contrasts the insulator-like state and suggests some quantum freedom of spin dynamics. By applying pressure the insulator-like behavior is gradually suppressed and the system becomes a metal, finally superconductivity is achieved at about 5.1 K. The superconducting transition strongly depends on magnetic field and applied current, indicating a fragile superfluid density. Our results suggest that the superconductivity is established by diluted Cooper pairs on top of a strong correlation background in CsFe4-xSe4.
基于FeSe的超导体有块状FeSe、单层FeSe薄膜、插层KxFe2-ySe2和Li1-xFexOHFeSe等。它们的正常状态都显示出金属行为。这里的关键是FeSe层,它以单层薄膜的形式表现出最高的超导转变温度。最近发现了一种新的FeSe基化合物CsFe4-xSe4,其空间基团为Bmmm。有趣的是,该系统显示出强烈的绝缘体样行为,尽管它与其他亲属共享相同的FeSe平面。密度泛函理论计算表明它应该是一种金属,这与实验观察结果形成鲜明对比。在这里,我们报告了通过施加压力来抑制这种绝缘体样行为的非常规超导性的出现。在环境压力下,类绝缘子的行为不能被建模为带绝缘子,而可以用相关系统的变距离跳变模型来描述。此外,还测量了400 mK以下的比热,并观察到显著的残余系数gamma_0=C/T|T->0,这与类绝缘体态形成了对比,表明自旋动力学具有一定的量子自由。通过施加压力,绝缘体样行为逐渐被抑制,系统变成金属,最终在约5.1 K下实现超导性。超导转变强烈依赖于磁场和施加的电流,表明一个脆弱的超流体密度。我们的结果表明,超导性是在CsFe4-xSe4的强相关背景上通过稀释的库珀对建立起来的。
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引用次数: 4
Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly 具有表面旋转异常的超导拓扑晶体绝缘体的双马约拉纳涡旋零模式
Pub Date : 2020-08-25 DOI: 10.1103/physrevb.102.180505
S. Kobayashi, A. Furusaki
The interplay of time-reversal and $n$-fold rotation symmetries ($n=2,4,6$) is known to bring a new class of topological crystalline insulators (TCIs) having $n$ surface Dirac cones due to surface rotation anomaly. We show that the proximity-induced $s$-wave superconductivity on the surface of these TCIs yields a topological superconducting phase in which two Majorana zero modes are bound to a vortex, and that $n$-fold rotation symmetry ($n=2,4,6$) enriches the topological classification of a superconducting vortex from $mathbb{Z}_2$ to $mathbb{Z}_2timesmathbb{Z}_2$. Using a model of a three-dimensional high-spin topological insulator with $s$-wave superconductivity and two-fold rotation symmetry, we show that, with increasing chemical potential, the number of Majorana zero modes at one end of a vortex changes as $2to1to0$ through two topological vortex phase transitions. In addition, we show that additional magnetic-mirror symmetry further enhances the topological classification to $mathbb{Z} times mathbb{Z}$
时间反转和n倍旋转对称(n=2,4,6)的相互作用导致了一类新的拓扑晶体绝缘体(tci)由于表面旋转异常而具有n个表面狄拉克锥。我们证明了在这些tsi表面上邻近诱导的$s$波超导产生了一个拓扑超导相,其中两个Majorana零模式被绑定到一个涡旋上,并且$n$折叠旋转对称($n=2,4,6$)丰富了超导涡旋的拓扑分类,从$mathbb{Z}_2$到$mathbb{Z}_2乘以$ mathbb{Z}_2$。利用具有$ 5 $波超导性和双重旋转对称的三维高自旋拓扑绝缘体模型,我们证明了随着化学势的增加,漩涡一端的Majorana零模式的数量通过两个拓扑漩涡相变从$2到$ 1到$ 0$变化。此外,我们证明了额外的磁镜对称性进一步增强了拓扑分类到$mathbb{Z} 乘以mathbb{Z}$
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引用次数: 4
期刊
arXiv: Superconductivity
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