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Topological superconductors are gapped superconductors with gapless and topologically robust quasiparticles propagating on the boundary. In this paper, we present a topological field theory description of three-dimensional time-reversal…

Superconductivity · Physics 2013-04-29 Xiao-Liang Qi , Edward Witten , Shou-Cheng Zhang

The optical conductivity measurements give a powerful tool to investigate the nature of the superconducting gap for conventional and unconventional superconductors. In this article, first, general analyses of the optical conductivity are…

Superconductivity · Physics 2007-05-23 Takashi Yanagisawa , Hajime Shibata

We discuss some experimental signatures associated with the topological structures of unconventional superconductor order parameters of form $d_{x^2-y^2}+ix$, where $x=s,p_x \pm p_y$, or $d_{xy}$. Specifically, we study the topological…

Superconductivity · Physics 2009-11-10 T. K. Ng , C. M. Varma

Gauge invariance is essential for making physically meaningful predictions. In superconductors, mean-field Hamiltonians that explicitly break $U(1)$ symmetry often yield gauge-dependent results. While this issue has been resolved for linear…

Superconductivity · Physics 2025-05-19 Sena Watanabe , Haruki Watanabe

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

Optics · Physics 2021-02-03 B. X. Wang , C. Y. Zhao

Nonlinear topological photonics is an emerging field aiming at extending the fascinating properties of topological states to the realm where interactions between the system constituents cannot be neglected. Interactions can indeed trigger…

We have fabricated c-axis point contact junctions between high-quality LiFeAs single crystals and Pb or Au tips in order to study the nature of the superconducting order parameter of LiFeAs, one of the few stoichiometric iron-based…

Superconductivity · Physics 2012-04-06 Xiaohang Zhang , Bumsung Lee , Seunghyun Khim , Kee Hoon Kim , Richard L. Greene , Ichiro Takeuchi

In most superconductors, optical excitations require impurity scattering or the presence of multiple bands. This is because in clean single-band superconductors, the combination of particle-hole and inversion symmetries prevents…

Superconductivity · Physics 2023-01-04 Michał Papaj , Joel E. Moore

The systematic diagnosis of band topology enabled by the method of "symmetry indicators" underlies the recent advances in the search for new materials realizing topological crystalline insulators. Such an efficient method has been missing…

Superconductivity · Physics 2019-08-23 Seishiro Ono , Youichi Yanase , Haruki Watanabe

Topological superconductivity is an exotic quantum phenomenon with coupled nontrivial topological order and superconductivity together. A direct idea for producing topological superconductors is to create superconductivity based on the well…

Superconductivity · Physics 2022-08-23 Hao Yu , Noah F. Q. Yuan , Wei-Jian Li , Liu-Cheng Chen , Zi-Yu Cao , Di Li , Xiaoying Qin , Chang-De Gong , Xiao-Jia Chen

We investigate the conductance through and the spectrum of ballistic chaotic quantum dots attached to two s-wave superconductors, as a function of the phase difference $\phi$ between the two order parameters. A combination of analytical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , Ph. Jacquod , J. Weiss

In the past decades, topological concepts have emerged to classify matter states beyond the Ginzburg-Landau symmetry breaking paradigm. The underlying global invariants are usually characterized by integers, such as Chern or winding…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Qinghua Guo , Tianshu Jiang , Ruo-Yang Zhang , Lei Zhang , Zhao-Qing Zhang , Biao Yang , Shuang Zhang , C. T. Chan

Motivated by recent experimental findings on the low-energy spectrum of Kekul\'e-patterned graphene, the optoelectronic signatures of graphene superlattices with a spatial modulation that triples the size of the unit cell and folds the…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Saúl A. Herrera , Gerardo G. Naumis

In multiband superconductors, multiple collective modes exist associated with the multiple order parameters. Oscillations of the amplitude and the relative phase of the order parameters are called Higgs and Leggett modes, respectively.…

Superconductivity · Physics 2019-06-19 Yuta Murotani , Ryo Shimano

A topological theory of d-wave superconductors is derived in this thesis. Ginzburg-Landau theory describes superconductivity by defining a complex order parameter and applying Landau's theory for phase transitions. However, there is no…

Superconductivity · Physics 2008-04-09 Maria Hermanns

We propose a way to generate a one-dimensional topological superconductor from a monolayer of a transition metal dichalcogenide coupled to a Bernal-stacked bilayer of graphene under a displacement field. With proper gating, this structure…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Daniel Skliannyi , Yuval Oreg , Ady Stern

Topological matter and topological optics have been studied in many systems, with promising applications in materials science and photonics technology. These advances motivate the study of the interaction between topological matter and…

Quantum Physics · Physics 2021-04-28 Wei Nie , Tao Shi , Franco Nori , Yu-xi Liu

A half-filled-band Hubbard model on an anisotropic triangular lattice (t in two bond directions and t' in the other) is studied using an optimization variational Monte Carlo method, to consider the Mott transition and superconductivity…

Superconductivity · Physics 2009-11-11 Tsutomu Watanabe , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue

Point-contact spectroscopy of several non-superconducting topological materials reveals a low temperature phase transition that is characterized by a Bardeen-Cooper-Schrieffer-type of criticality. We find such a behavior of differential…