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A topological argument is presented for nodal structures of superconducting states with time-reversal invariance. A generic Hamiltonian which describes a quasiparticle in superconducting states with time-reversal invariance is derived, and…

Superconductivity · Physics 2007-05-23 Masatoshi Sato

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

Superconductivity · Physics 2017-11-08 Yuxuan Wang , Liang Fu

Using functional renormalization group method, we study the favorable condition for electronic correlation driven time reversal invariant topological superconductivity in symmetry class DIII. For non-centrosymmetric systems we argue that…

Superconductivity · Physics 2015-06-03 Yuan-Yuan Xiang , Wan-Sheng Wang , Qiang-Hua Wang , Dung-Hai Lee

Fathoming interplay between symmetry and topology of many-electron wave-functions has deepened understanding of quantum many body systems, especially after the discovery of topological insulators. Topology of electron wave-functions…

Strongly Correlated Electrons · Physics 2017-03-15 SangEun Han , Gil Young Cho , Eun-Gook Moon

We study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase…

Strongly Correlated Electrons · Physics 2017-08-04 Igor N. Karnaukhov

We study the superconducting state of multi-orbital spin-orbit coupled systems in the presence of an orbitally driven inversion asymmetry assuming that the inter-orbital attraction is the dominant pairing channel. Although the inversion…

Superconductivity · Physics 2018-06-06 Yuri Fukaya , Shun Tamura , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

In many strongly correlated electron systems, non-Fermi liquid behavior and unconventional superconductivity can be viewed as emerging from an effective 4-fermion interaction with a singular frequency dependence. A pairing instability in…

Strongly Correlated Electrons · Physics 2026-04-17 Yue Yu , Andrey V. Chubukov

We analyze the possible interaction-induced superconducting instabilities in noncentrosymmetric systems based on symmetries of the normal state. It is proven that pure electron-phonon coupling will always lead to a fully gapped…

Superconductivity · Physics 2016-05-18 Mathias S. Scheurer

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

We consider a layered superconductor with a complex order parameter whose phase switches sign from one layer to the next. This system is shown to exhibit gapless superconductivity for sufficiently large interlayer pairing or interlayer…

Condensed Matter · Physics 2016-08-31 A. M. Tikofsky , D. B. Bailey

Multi-band superconductivity in topological semimetals are the paradigms of unconventional superconductors. Their exotic gap structures and topological properties have fascinated searching for material realizations and applications. In this…

Strongly Correlated Electrons · Physics 2023-04-05 GiBaik Sim , Moon Jip Park , SungBin Lee

Chiral topological semimetals host multifold degenerate band crossing points under the protection of crystalline symmetries. In this paper, we suggest that the recently discovered chiral topological semimetals in space group 198, parts of…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Yingyi Huang , Shao-Kai Jian

Based on a recently developed framework, we conduct classifications of time-reversal symmetric topological superconductors with conventional pairing symmetries. Our real-space approach clarifies the nature of boundary modes in nontrivial…

Superconductivity · Physics 2024-12-03 Seishiro Ono , Ken Shiozaki , Haruki Watanabe

Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in nanostructures has been mainly obtained by…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Pasquale Marra , Roberta Citro , Alessandro Braggio

We discuss the phase diagram and phase transitions in $U(1)\times \groupZ{2}$ three-band superconductors with broken time reversal symmetry. We find that beyond mean field approximation and for sufficiently strong frustration of interband…

Superconductivity · Physics 2014-10-24 Troels Bojesen , Egor Babaev , Asle Sudbø

Spontaneous time-reversal symmetry breaking plays an important role in studying strongly correlated unconventional superconductors. When two superconducting gap functions with different symmetries compete, the relative phase channel…

Superconductivity · Physics 2023-11-22 Meng Zeng , Lun-Hui Hu , Hong-Ye Hu , Yi-Zhuang You , Congjun Wu

We show that three-band superconductors with broken time reversal symmetry allow magnetic flux-carrying stable topological solitons which have only a slightly higher energy than ordinary vortices. Therefore they can be induced by…

Superconductivity · Physics 2011-12-13 Julien Garaud , Johan Carlstrom , Egor Babaev

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

We construct time reversal invariant topological superconductors and superfluids in two and three dimensions which are analogous to the recently discovered quantum spin Hall and three-d $Z_2$ topological insulators respectively. These…

Superconductivity · Physics 2013-05-29 Xiao-Liang Qi , Taylor L. Hughes , Srinivas Raghu , Shou-Cheng Zhang
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