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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

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

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

We consider a model of multiband superconductivity, inspired by iron pnictides, in which three bands are connected via repulsive pair-scattering terms. Generically, three distinct superconducting states arise within such a model. Two of…

Superconductivity · Physics 2015-03-13 Valentin Stanev , Zlatko Tesanovic

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

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

Time-reversal symmetry-breaking (TRSB) superconductivity has been reported in a growing number of materials. In some cases, TRSB arises naturally from chiral superconductivity, but in many low-symmetry systems this explanation is not…

Superconductivity · Physics 2025-10-21 Ilaria Maccari , Aline Ramires

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

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

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

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…

In superconductors with three or more bands, time-reversal symmetry (TRS) may be broken in the presence of repulsive interband couplings, resulting in a pair of degenerate states characterized by opposite chiralities. We consider a…

Superconductivity · Physics 2015-06-19 Zhao Huang , Xiao Hu

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

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

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

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

We show that superconductors with broken time-reversal symmetry have very specific magnetic and electric responses to inhomogeneous heating. A local heating of such superconductors induces a magnetic field with a profile that is sensitive…

Superconductivity · Physics 2016-03-18 Julien Garaud , Mihail Silaev , Egor Babaev

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

The relation between superconductivity and time-reversal symmetry (TRS) is one of the most fascinating problems in condensed matter physics. Although most superconductors inherently possess TRS, nonmagnetic disorder can induce states that…

The Leggett mode associated with out-of-phase oscillations of superconducting phase in multi-band superconductors usually is heavy due to the interband coupling, which makes its excitation and detection difficult. We report on the existence…

Superconductivity · Physics 2012-04-27 Shi-Zeng Lin , Xiao Hu
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