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Yu-Shiba-Rusinov bound states studied by tuning the electron density at the Fermi energy 通过调整费米能量处的电子密度来研究Yu-Shiba-Rusinov束缚态
Pub Date : 2020-10-20 DOI: 10.1103/PhysRevB.103.214509
S. Song, Yoon Sung Park, Yongchan Jeong, Min-Seok Kim, Ki-Seok Kim, Jungpil Seo
Magnetic atoms can break the Cooper pairs of superconductors, leading to the formation of Yu-Shiba-Rusinov (YSR) bound states inside superconducting gaps. Theory predicts that the YSR bound states can be controlled by tuning the electron density at the Fermi energy, but it has not been studied deeply. In this work, we studied the nature of YSR bound states in response to the potential scattering U by tuning the electron density at the Fermi energy. By comparing two systems, Mn-phthalocyanine molecules on Pb(111) and Co atoms on PbSe/Pb(111), we demonstrate that the sign of U can be unambiguously determined by varying the electron density at the Fermi energy. We also show that U competes with the exchange interaction JS in the formation of YSR bound states. Our work provides insights into the interactions between magnetic atoms and superconductors at a fundamental level.
磁性原子可以破坏超导体的库珀对,导致超导间隙内形成Yu-Shiba-Rusinov (YSR)束缚态。理论预测YSR束缚态可以通过调节费米能量下的电子密度来控制,但尚未深入研究。在这项工作中,我们通过调整费米能量处的电子密度,研究了YSR束缚态对潜在散射U的响应性质。通过比较Pb(111)上的mn -酞菁分子和PbSe/Pb(111)上的Co原子两种体系,我们证明了通过改变费米能量下的电子密度可以明确地确定U的符号。我们还发现U在YSR束缚态的形成中与交换相互作用JS竞争。我们的工作为磁性原子和超导体之间的相互作用提供了基本的见解。
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引用次数: 2
Temporarily enhanced superconductivity from magnetic fields 磁场暂时增强的超导性
Pub Date : 2020-10-19 DOI: 10.1103/PHYSREVB.103.L100502
Eirik Holm Fyhn, J. Linder
Contrary to the expected detrimental influence on superconductivity when applying a magnetic field, we predict that the abrupt onset of such a field can temporarily strongly enhance the superconducting order parameter. Specifically, we find that the supercurrent in a Josephson junction with a normal metal weak link can increase more than twentyfold in this way. The effect can be understood from the interplay between the energy-dependenceof Andreev reflection and the abrupt spin-dependent shift in the distribution functions for excitations in the system. The duration of the increase depends on the inelastic scattering rate in the system and is estimated to be in the range of nanoseconds. We demonstrate this by developing a method which solves the Usadel equation for an arbitrary time-dependence. This enables the study of ultrafast time-dependent physics in heterostructures combining superconductors with different types of materials.
与预期的施加磁场对超导性的不利影响相反,我们预测这样一个磁场的突然发作可以暂时强烈地增强超导序参量。具体来说,我们发现具有正常金属弱链接的约瑟夫森结中的超电流可以通过这种方式增加20倍以上。这种效应可以从Andreev反射的能量依赖性和系统中激励分布函数中自旋依赖性的突变位移之间的相互作用中理解。增加的持续时间取决于系统中的非弹性散射率,估计在纳秒范围内。我们通过开发一种求解任意时间依赖的Usadel方程的方法来证明这一点。这使得超导体与不同类型材料相结合的异质结构中的超快时间相关物理研究成为可能。
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引用次数: 1
Signatures of triplet correlations in density of states of Ising superconductors 伊辛超导体态密度中三重态相关的特征
Pub Date : 2020-10-16 DOI: 10.1103/physrevb.102.214513
M. Haim, D. Möckli, M. Khodas
The few-layer transition metal dichalcogenides (TMDs) have been recently suggested as a platform for controlled unconventional superconductivity. We study the manifestations of unconventional triplet pairing in the density of states of a disordered TMD based monolayer. The conventional singlet pairing attraction is assumed to be the dominant pairing interaction. We map the phase diagrams of disordered Ising superconductors in the plane of temperature and the in-plane magnetic field. The latter suppresses singlet and promote triplet correlations. The triplet order parameters of a trivial (non-trivial) symmetry compete (cooperate) with the singlet order parameter which gives rise to a rich phase diagram. We locate the model-dependent phase boundaries and compute the order parameters in each of the distinct phases. With this information, we obtain the density of states by solving the Gorkov equation. The triplet components of the order parameters may change an apparent width of the density of states by significantly increasing the critical field. The triplet components of the order parameters lead to the density of states broadening significantly exceeding the broadening induced by magnetic field and disorder in the singlet superconductor.
近年来,人们提出了利用低层过渡金属二硫族化合物(TMDs)作为可控非常规超导材料的平台。我们研究了非常规三重态配对在无序TMD基单层态密度中的表现。传统的单线态配对吸引被认为是主要的配对相互作用。我们在温度平面和平面磁场平面上绘制了无序伊辛超导体的相图。后者抑制单线态并促进三重态相关。平凡(非平凡)对称的三重序参数与单重态序参数竞争(合作),从而产生丰富的相图。我们定位了与模型相关的阶段边界,并计算了每个不同阶段的顺序参数。利用这些信息,我们通过求解Gorkov方程得到态的密度。序参量的三重分量可以通过显著增加临界场来改变态密度的表观宽度。在单线态超导体中,有序参数的三重态分量导致态密度的展宽明显超过磁场和无序引起的展宽。
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引用次数: 7
Effect of spin fluctuations on superconductivity in V and Nb: A first-principles study 自旋涨落对V和Nb超导性的影响:第一性原理研究
Pub Date : 2020-10-14 DOI: 10.1103/physrevb.102.214515
K. Tsutsumi, Yuma Hizume, M. Kawamura, R. Akashi, S. Tsuneyuki
We study the superconductivity in typical $d$-band elemental superconductors V and Nb with the recently developed non-empirical computational scheme based on the density functional theory for superconductors. The effect of ferromagnetic fluctuation (paramagnon) on the superconducting transition temperature ($T_{rm c}$), which in principle suppress the $s$-wave superconducting pairing, is quantified without any empirical parameter. We show that the strong paramagnon effect cancels the $T_{rm c}$-enhancing effects of the phonon-mediated pairing and dynamical screened Coulomb interaction.
本文采用基于超导体密度泛函理论的非经验计算格式,研究了典型d波段元素超导体V和Nb的超导性。在没有任何经验参数的情况下,量化了铁磁涨落(顺磁子)对超导转变温度($T_{rm c}$)的影响,该温度原则上抑制了$s$-波超导配对。我们证明了强顺磁子效应抵消了声子介导配对和动态屏蔽库仑相互作用的T_{rm c}$-增强效应。
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引用次数: 1
Influence of substrate-induced thermal stress on the superconducting properties of V 3 Si thin films 衬底诱导热应力对v3si薄膜超导性能的影响
Pub Date : 2020-10-14 DOI: 10.1063/5.0038638
T. Vethaak, F. Gustavo, T. Farjot, T. Kubart, P. Gergaud, S. Zhang, F. Nemouchi, F. Lefloch
Thin films of superconducting V$_3$Si were prepared by means of RF sputtering from a compound V$_3$Si target at room temperature onto sapphire and oxide-coated silicon wafers, followed by rapid thermal processing under secondary vacuum. The superconducting properties of the films thus produced are found to improve with annealing temperature, which is ascribed to a reduction of defects in the polycrystalline layer. Critical temperatures ($T_text{c}$) up to $15.3,$K were demonstrated after thermal processing, compared to less than $1,$K after deposition. The $T_text{c}$ was found to always be lower on the silicon wafers, by on average $1.9(3),$K for the annealed samples. This difference, as well as a broadening of the superconducting transitions, is nearly independent of the annealing conditions. In-situ XRD measurements reveal that the silicide layer becomes strained upon heating due to a mismatch between the thermal expansion of the substrate and that of V$_3$Si. Taking into account the volume reduction due to crystallization, this mismatch is initially larger on sapphire, though stress relaxation allows the silicide layer to be in a relatively unstrained state after cooling. On oxidized silicon however, no clear evidence of relaxation upon cooling is observed, and the V$_3$Si ends up with an out-of-plane strain of 0.3% at room temperature. This strain increases as the sample is cooled down to cryogenic temperatures, though the deformation of the polycrystalline layer is expected to be highly inhomogeneous. Taking into account also the reported occurrence of a Martensitic transition just above the critical temperature, this extrapolated strain distribution is found to closely match an existing model of the strain dependence of A-15 superconducting compounds.
采用室温下射频溅射的方法,将V$_3$Si化合物靶材溅射到蓝宝石和氧化包覆硅片上,并在二次真空下进行快速热处理,制备了超导V$_3$Si薄膜。发现薄膜的超导性能随着退火温度的升高而提高,这是由于多晶层中缺陷的减少。热处理后的临界温度($T_text{c}$)高达$15.3,$K,而沉积后的临界温度低于$1,$K。发现$T_text{c}$在硅片上总是较低的,对于退火样品平均降低$1.9(3),$K。这种差异,以及超导跃迁的展宽,几乎与退火条件无关。原位XRD测试表明,由于衬底的热膨胀与V$_3$Si的热膨胀不匹配,硅化物层在加热时发生应变。考虑到结晶导致的体积减小,这种不匹配在蓝宝石上最初更大,尽管应力松弛使硅化物层在冷却后处于相对非应变状态。然而,在氧化硅上,没有观察到冷却时松弛的明显证据,在室温下,V$_3$Si的面外应变为0.3%。当样品冷却到低温时,这种应变增加,尽管多晶层的变形预计是高度不均匀的。考虑到已报道的刚好高于临界温度的马氏体转变,发现这种外推应变分布与a -15超导化合物应变依赖的现有模型密切匹配。
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引用次数: 2
Magnetic response of Majorana Kramers pairs with an order-two symmetry 具有二阶对称的Majorana Kramers对的磁响应
Pub Date : 2020-10-13 DOI: 10.1103/PHYSREVB.103.094508
Y. Yamazaki, S. Kobayashi, A. Yamakage
We study an intrinsic relation between the topology of bulk electronic states and magnetic responses of Majorana Kramers pairs, Kramers pairs of Majorana fermions, on a surface of time-reversal-invariant topological superconductors. Majorana Kramers pairs respond to an applied magnetic field anisotropically due to the interplay between time-reversal and crystal symmetries. In this paper, we propose a systematic procedure to determine such surface magnetic responses in systems with an order-two symmetry. From the analysis of topological invariants associated with an order-two symmetry, it is found that magnetic responses are classified into four types, which are attributed to different topological invariants and exhibit distinguishable, characteristic magnetic responses. For a Kramers pair of Majorana fermions protected by $mathbb{Z}_2$ topological invariants, we clarify that types of magnetic responses are determined only from Fermi--surface topology and symmetry of Cooper pairs. Finally, we apply our theory to the topological nonsymmorphic crystalline superconducting state in UCoGe, which exhibits a biaxially anisotropic magnetic response.
我们研究了在时间逆不变拓扑超导体表面上的马约拉纳费米子的克雷默斯对(马约拉纳费米子的克雷默斯对)的体电子态拓扑与磁响应之间的内在关系。由于时间反转和晶体对称性之间的相互作用,马约拉纳克莱默斯对对外加磁场的各向异性响应。在本文中,我们提出了一个系统的程序来确定这种表面磁响应的二阶对称系统。通过分析与二阶对称相关的拓扑不变量,发现磁响应可分为四种类型,这些类型归因于不同的拓扑不变量,并表现出可区分的特征磁响应。对于受$mathbb{Z}_2$拓扑不变量保护的Majorana费米子Kramers对,我们阐明了磁响应的类型仅由费米表面拓扑和Cooper对的对称性决定。最后,我们将我们的理论应用于UCoGe的拓扑非对称晶体超导态,它表现出双轴各向异性的磁响应。
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引用次数: 2
Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries 对称指标的忠实推导:具有时间反转和反转对称性的拓扑超导体的一个案例研究
Pub Date : 2020-10-12 DOI: 10.1103/PHYSREVRESEARCH.3.013243
Sheng-Jie Huang, Yi-Ting Hsu
Topological crystalline superconductors have attracted rapidly rising attention due to the possibility of higher-order phases, which support Majorana modes on boundaries in $d-2$ or lower dimensions. However, although the classification and bulk topological invariants in such systems have been well studied, it is generally difficult to faithfully predict the boundary Majoranas from the band-structure information due to the lack of well-established bulk-boundary correspondence. Here we propose a protocol for deriving symmetry indicators that depend on a minimal set of necessary symmetry data of the bulk bands and can diagnose boundary features. Specifically, to obtain indicators manifesting clear bulk-boundary correspondence, we combine the topological crystal classification scheme in the real space and a twisted equivariant K group analysis in the momentum space. The key step is to disentangle the generally mixed strong and weak indicators through a systematic basis-matching procedure between our real-space and momentum-space approaches. We demonstrate our protocol using an example of two-dimensional time-reversal odd-parity superconductors, where the inversion symmetry is known to protect a higher-order phase with corner Majoranas. Symmetry indicators derived from our protocol can be readily applied to ab initio database and could fuel material predictions for strong and weak topological crystalline superconductors with various boundary features.
拓扑晶体超导体由于可能存在高阶相而引起了越来越多的关注,高阶相在d-2或更低维的边界上支持马约拉纳模式。然而,尽管这类系统的分类和体拓扑不变量已经得到了很好的研究,但由于缺乏完善的体边界对应关系,通常很难从带结构信息中忠实地预测边界Majoranas。在这里,我们提出了一种基于体带必要对称数据的最小集推导对称指标的协议,该协议可以诊断边界特征。具体而言,为了获得具有清晰体边界对应的指标,我们将实空间中的拓扑晶体分类方案与动量空间中的扭曲等变K群分析相结合。关键的一步是通过我们的实空间和动量空间方法之间的系统基匹配程序来解开通常混合的强弱指标。我们使用二维时间反转奇偶偶超导体的一个例子来证明我们的协议,其中的反转对称性已知可以保护角马约拉纳的高阶相位。从我们的协议中得到的对称指标可以很容易地应用于从头算数据库,并可以为具有各种边界特征的强和弱拓扑晶体超导体的材料预测提供燃料。
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引用次数: 15
Artificial graphene: Unconventional superconductivity in a honeycomb superlattice 人造石墨烯:蜂窝超晶格中的非常规超导性
Pub Date : 2020-10-12 DOI: 10.1103/physrevresearch.2.043155
Tommy Li, J. Ingham, H. Scammell
Artificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene -- a honeycomb superlattice imposed on a semiconductor heterostructure -- which hosts the Dirac physics of graphene but with a tunable periodic potential strength and lattice spacing, allowing control of the strength of the electron-electron interactions. We demonstrate a new mechanism for superconductivity due to repulsive interactions which requires a strong lattice potential and a minimum doping away from the Dirac points. The mechanism relies on the Berry phase of the emergent Dirac fermions, which causes oppositely moving electron pairs near the Dirac points to interfere destructively, reducing the Coulomb repulsion and thereby giving rise to an effective attraction. The attractive component of the interaction is enhanced by a novel antiscreening effect which, in turn, increases with doping; as a result there is a minimum doping beyond which superconducting order generically ensues. The dominant superconducting state exhibits a spatially modulated gap with chiral $p$-wave symmetry. Microscopic calculations suggest that the possible critical temperatures are large relative to the low carrier densities, for a range of experimentally realistic parameters.
人工晶格已经成为研究非常规超导物理的一个平台。我们研究了半导体人造石墨烯——一种施加在半导体异质结构上的蜂窝状超晶格——它具有石墨烯的狄拉克物理特性,但具有可调的周期电位强度和晶格间距,从而可以控制电子-电子相互作用的强度。我们证明了一种由排斥相互作用引起的超导新机制,这种机制需要强大的晶格势和远离狄拉克点的最小掺杂量。该机制依赖于出现的狄拉克费米子的贝里相,它导致狄拉克点附近反向移动的电子对破坏性地干涉,减少库仑排斥,从而产生有效的吸引力。相互作用的吸引成分通过一种新的反筛选效应得到增强,这种效应反过来又随着掺杂而增加;因此,有一个最小掺杂量,超过这个最小掺杂量,一般就会出现超导秩序。占主导地位的超导态表现为具有手性p波对称的空间调制隙。微观计算表明,相对于低载流子密度,对于一系列实验实际参数,可能的临界温度较大。
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引用次数: 15
Capping layer influence and isotropic in-plane upper critical field of the superconductivity at the FeSe/SrTiO3 interface 封盖层对FeSe/SrTiO3界面超导性的影响及面内各向同性上临界场
Pub Date : 2020-10-11 DOI: 10.1103/PHYSREVMATERIALS.5.034802
Yanan Li, Ziqiao Wang, Run Xiao, Qi Li, Ke Wang, A. Richardella, Jian Wang, N. Samarth
Understanding the superconductivity at the interface of FeSe/SrTiO3 is a problem of great contemporary interest due to the significant increase in critical temperature (Tc) compared to that of bulk FeSe, as well as the possibility of an unconventional pairing mechanism and topological superconductivity. We report a study of the influence of a capping layer on superconductivity in thin films of FeSe grown on SrTiO3 using molecular beam epitaxy. We used in vacuo four-probe electrical resistance measurements and ex situ magneto-transport measurements to examine the effect of three capping layers that provide distinctly different charge transfer into FeSe: compound FeTe, non-metallic Te, and metallic Zr. Our results show that FeTe provides an optimal cap that barely influences the inherent Tc found in pristine FeSe/SrTiO3, while the transfer of holes from a non-metallic Te cap completely suppresses superconductivity and leads to insulating behavior. Finally, we used ex situ magnetoresistance measurements in FeTe-capped FeSe films to extract the angular dependence of the in-plane upper critical magnetic field. Our observations reveal an almost isotropic in-plane upper critical field, providing insight into the symmetry and pairing mechanism of high temperature superconductivity in FeSe.
了解FeSe/SrTiO3界面的超导性是一个当代非常感兴趣的问题,因为与块体FeSe相比,临界温度(Tc)显着增加,以及非常规配对机制和拓扑超导性的可能性。本文报道了用分子束外延技术研究了封盖层对在SrTiO3上生长的FeSe薄膜超导性的影响。我们使用真空四探针电阻测量和非原位磁输运测量来检查三种封盖层的影响,这三种封盖层提供了截然不同的电荷转移到FeSe:化合物FeTe,非金属Te和金属Zr。我们的研究结果表明,FeTe提供了一个最佳的帽,几乎不影响原始FeSe/SrTiO3中固有的Tc,而从非金属Te帽转移的孔完全抑制了超导性并导致绝缘行为。最后,我们在fte封顶的FeSe薄膜中使用非原位磁阻测量来提取平面内上部临界磁场的角依赖性。我们的观察揭示了一个几乎各向同性的平面内上临界场,为FeSe高温超导的对称性和配对机制提供了见解。
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引用次数: 1
Current-phase relation in a topological Josephson junction: Andreev bands versus scattering states 拓扑Josephson结的电流相关系:Andreev带与散射态
Pub Date : 2020-10-07 DOI: 10.1103/PHYSREVB.103.115423
S. Backens, A. Shnirman
We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing between the coverings is either unfilled or filled by a magnetic insulator. Generally, the Josephson current mediated by the TI surface is determined by scattering modes as well as by the states localized around the junction (Andreev bound states or Andreev bands). We find out that it is crucial to take into account both contributions to determine the current--phase relation of the topological Josephson junction. We analyze the dependence of the Josephson current on the thickness of the junction as well as the deviations from the sinusoidal shape of the current--phase relation.
我们考虑在三维拓扑绝缘体(TI)的导电二维表面上形成的长拓扑约瑟夫森结。超导相关是由覆盖表面的s波超导体邻近诱导的。覆盖层之间的一维间距要么未填充,要么由磁性绝缘体填充。通常,由TI表面介导的约瑟夫森电流由散射模式以及结周围的定域态(Andreev束缚态或Andreev带)决定。我们发现,考虑这两种贡献来确定拓扑约瑟夫森结的电流-相位关系是至关重要的。我们分析了约瑟夫森电流与结厚的关系,以及偏离电流-相位关系的正弦形状。
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引用次数: 1
期刊
arXiv: Superconductivity
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