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A growing number of superconducting materials display evidence for spontaneous time-reversal symmetry breaking (TRSB) below their critical transition temperatures. Precisely what this implies for the nature of the superconducting ground…

Superconductivity · Physics 2024-05-22 Brian M. Andersen , Andreas Kreisel , P. J. Hirschfeld

I study the effects of disorder on the superconductivity of a three-band model with repulsive interband pairing. Such a model can support several possible superconducting order parameters, including a complex time-reversal symmetry breaking…

Superconductivity · Physics 2015-08-10 Valentin Stanev

Superconductivity is associated with spontaneously broken gauge symmetry. In some exotic superconductors the time-reversal symmetry is broken as well, accompanied with internal magnetic field. A time-reversal symmetry broken (TRSB)…

Superconductivity · Physics 2011-03-18 Xiao Hu , Zhi Wang

We study superconducting three-band systems within strong-coupling Eliashberg theory. In particular, we search for phase-frustrated superconducting systems with spontaneous time-reversal symmetry breaking (TRSB) states. The emergence of…

Superconductivity · Physics 2023-12-08 Niels Henrik Aase , Kristian Mæland , Asle Sudbø

The Josephson-like interband couplings in multi-band superconductivity exhibit degenerate energy minima, which support states with kinks in phase of superconductivity. When the interband couplings in systems of three or more components are…

Superconductivity · Physics 2012-06-19 Shi-Zeng Lin , Xiao Hu

We consider mixed symmetry superconducting phases in Dirac materials in the odd parity channel, where pseudoscalar and vector order parameters can coexist due to their similar critical temperatures when attractive interactions are of finite…

Superconductivity · Physics 2017-05-31 Luca Chirolli , Fernando de Juan , Francisco Guinea

We examine the stability of mixed-symmetry superconducting states with broken time-reversal symmetry in spatial-symmetry-broken systems, including chiral states, on the basis of the free-energy functional derived in the weak-coupling…

Superconductivity · Physics 2021-05-27 Hiroshi Shimahara

Time-reversal symmetry breaking (TRSB) has been central to detecting exotic phases of matter. Here, we leverage the circuit electrodynamics capabilities of superconducting devices to propose a novel scheme based on a multimode…

We show that the observed time-reversal symmetry breaking (TRSB) of the superconducting state in $\mathrm{Sr}_{2}\mathrm{Ru}\mathrm{O}_{4}$ can be understood as originating from inhomogeneous strain fields near edge dislocations of the…

Superconductivity · Physics 2021-08-04 Roland Willa , Matthias Hecker , Rafael M. Fernandes , Jörg Schmalian

To trace the origin of time-reversal symmetry breaking (TRSB) in Re-based superconductors, we performed comparative muon-spin rotation/relaxation ($\mu$SR) studies of superconducting noncentrosymmetric Re$_{0.82}$Nb$_{0.18}$ ($T_c = 8.8$ K)…

Time-reversal symmetry breaking (TRSB) in magnetic topological insulators induces a Dirac gap in the topological surface state (TSS), leading to exotic phenomena such as the quantum anomalous Hall effect. Yet, the interplay between TRSB and…

We study proximity effects close to a boundary between s and s+- superconductors. Frustration, caused by interaction of the s-wave gap parameter with the opposite-sign gaps of s+- superconductor, leads to several anomalous features. In the…

Superconductivity · Physics 2012-12-24 Valentin G. Stanev , Alexei E. Koshelev

Multi-band superconductors in which frustrated inter-band couplings yield a time-reversal-symmetry breaking (TRSB) state are investigated. Stability condition for the TRSB state are derived based on the Bardeen-Cooper-Schrieffer (BCS)…

Superconductivity · Physics 2015-06-17 Y. Takahashi , Z. Huang , X. Hu

I consider a simple model of a three-band superconductor with repulsive interband interactions. The frustration, associated with the odd number of bands, leads to the possible existence of an intrinsically complex time-reversal symmetry…

Superconductivity · Physics 2012-09-20 Valentin Stanev

The s+- state in which order parameter has different signs in different bands is a leading candidate for the superconducting state in the iron based superconductors. We investigate a Josephson junction between s and s+- superconductors…

Superconductivity · Physics 2012-12-17 A. E. Koshelev

The structure of superconducting order parameter near the surface of a two-band superconductor with $s_{\pm}$ order parameter in the bulk is theoretically investigated. The main parameter of the surface, which determines the appropriate…

Superconductivity · Physics 2015-06-03 A. M. Bobkov , I. V. Bobkova

Recently evidence has emerged in the topological superconductor Fe-chalcogenide FeTe1-xSex for time-reversal symmetry breaking (TRSB), the nature of which has strong implications on the Majorana zero modes (MZM) discovered in this system.…

Strongly Correlated Electrons · Physics 2023-01-26 Camron Farhang , Nader Zaki , Jingyuan Wang , Genda Gu , Peter D. Johnson , Jing Xia

Roughly twenty reports (as of 2025) of time-reversal-symmetry breaking (TRSB) states in low critical temperature (T$_c$) superconducting (SC), otherwise conventional Fermi liquid, metals have emerged primarily from muon spin relaxation…

Superconductivity · Physics 2026-02-16 Warren E. Pickett

In three-band BCS superconductors with repulsive interband interactions, frustration between the bands can lead to an inherently complex gap function, arising out of a phase difference between the bands in the range 0 and {\pi}. Since the…

Superconductivity · Physics 2014-03-14 Brendan J. Wilson , Mukunda P. Das

Time-reversal symmetry breaking (TRSB) superconductors show a rich collective mode spectrum. In general, collective excitations in superconductors can provide crucial information on the symmetry of the broken phase, in particular, serving…

Superconductivity · Physics 2025-09-03 Silvia Neri , Walter Metzner , Dirk Manske
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