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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

As a minimal fermionic model with kinetic frustration, we study a system of spinless fermions in the lowest band of a triangular lattice with long-range repulsion. We find that the combination of interactions and kinetic frustration leads…

Quantum Gases · Physics 2013-03-14 Olivier Tieleman , Omjyoti Dutta , Maciej Lewenstein , André Eckardt

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

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

We analyze the presence of non-reciprocal critical currents, the so-called superconducting diode effect, in chiral superconductors within a generalized Ginzburg-Landau framework. After deriving its key symmetry conditions we illustrate the…

Superconductivity · Physics 2022-12-13 Bastian Zinkl , Keita Hamamoto , Manfred Sigrist

It has been proposed that the superconductivity of Sr$_2$RuO$_4$ is characterized by pairing that is unconventional and, furthermore, spontaneously breaks time-reversal symmetry. However, one of the key expected consequences, viz., that the…

Superconductivity · Physics 2011-08-12 David G. Ferguson , Paul M. Goldbart

A new experiment is proposed to probe the time-reversal symmetry of a superconductor. It is shown that a time-reversal symmetry breaking superconductor can be identified by the observation of a fractional flux in connection with a Josephson…

Condensed Matter · Physics 2009-10-22 Manfred Sigrist , Yong Baek Kim

Ultrasound attenuation is a powerful probe of symmetry-breaking phenomena in superconductors. In this work, we develop a framework to model the ultrasound response of multi-component superconductors undergoing a time-reversal symmetry…

Superconductivity · Physics 2025-09-24 Chris Halcrow , Paul Leask , Egor Babaev

We demonstrate that films of unconventional (d-wave) superconductor at temperatures $T\lesssim 0.43 T_c$ can exhibit unusual superconducting phases. The new ground states beside the broken gauge and the point group symmetries can…

Superconductivity · Physics 2009-04-30 A. B. Vorontsov

We investigate the electronic structure of twin boundaries in orthorhombically distorted high-T$_c$ materials using the quasiclassical theory of superconductivity. At low temperatures we find a local instability to a time-reversal symmetry…

Superconductivity · Physics 2009-10-31 W. Belzig , C. Bruder , M. Sigrist

Time-reversal symmetry (TRS) may be broken in superconductors with three or more condensates interacting repulsively, yielding two degenerate states specified by chirality of gap functions. We consider a loop of such superconductor with two…

Superconductivity · Physics 2016-01-20 Zhao Huang , Xiao Hu

The results from muon spin relaxation experiments on the non-centrosymmetric intermetallic superconductor LaNiC$_2$ are reported. We find that the onset of superconductivity coincides with the appearance of spontaneous magnetic fields,…

Superconductivity · Physics 2009-03-20 A. D. Hillier , J. Quintanilla , R. Cywinski

We investigate equilibrium properties, including structure of the order parameter, superflow patterns, and thermodynamics of low-temperature surface phases of layered d_{x^2-y^2}-wave superconductors in magnetic field. At zero external…

Superconductivity · Physics 2018-06-18 P. Holmvall , A. B. Vorontsov , M. Fogelstrom , T. Lofwander

A two-component superconductor may hypothetically support a vestigial order phase above its superconducting transition temperature, with rotational or time-reversal symmetry spontaneously broken while remain non-superconducting. This has…

Superconductivity · Physics 2023-08-16 Pye Ton How , Sung Kit Yip

Spontaneous symmetry breaking is an important concept for understanding physics ranging from the elementary particles to states of matter. For example, the superconducting state breaks global gauge symmetry, and unconventional…

Superconductivity · Physics 2016-09-13 K. Matano , M. Kriener , K. Segawa , Y. Ando , Guo-qing Zheng

${\rm CaPd_2Ge_2}$ which crystallizes in ${\rm ThCr_2Si_2}$-type body-centered tetragonal structure exhibits superconductivity below the critical temperature $T_{\rm c} = 1.69$~K\@. We have investigated the superconducting gap structure and…

Superconductivity · Physics 2025-06-13 V. K. Anand , A. Bhattacharyya , D. T. Adroja , K. Panda , P. K. Biswas , A. D. Hillier , B. Lake

Phase transitions involving spontaneous time-reversal symmetry breaking are studied on the honeycomb lattice at finite hole-doping with next-nearest-neighbor repulsion. We derive an exact expression for the mean-field equation of state in…

Strongly Correlated Electrons · Physics 2015-05-01 Wei Liu , Alexander Punnoose

Spontaneous symmetry breaking is a universal concept throughout science. For instance, the Landau-Ginzburg paradigm of translational symmetry breaking underlies the classification of nearly all quantum phases of matter and explains the…

We review and extend a previous study on the symmetry of the superconducting state, stimulated by recent tunneling and Andreev reflection measurements giving robust evidences for the existence of a $d_{x^2-y^2}+id_{xy}$ order parameter in…

Superconductivity · Physics 2009-11-07 G. Sangiovanni , M. Capone , S. Caprara

The breaking of time-reversal symmetry in a triplet superconductor Josephson junction is shown to cause a magnetic instability of the tunneling barrier. Using a Ginzburg-Landau analysis of the free energy, we predict that this novel…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 P. M. R. Brydon , Christian Iniotakis , Dirk Manske , M. Sigrist