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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…

超导电性 · 物理学 2024-05-22 Brian M. Andersen , Andreas Kreisel , P. J. Hirschfeld

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)…

超导电性 · 物理学 2011-03-18 Xiao Hu , Zhi Wang

Recently a phenomenological Ginzburg-Landau (GL) theory has been proposed to describe the occurrence of a locally time-reversal symmetry (T) breaking state near a Josephson junction between unconventional superconductors. In this paper we…

超导电性 · 物理学 2009-10-31 Kazuhiro Kuboki , Manfred Sigrist

We propose a superconducting instability where microscopic supercurrent loops form spontaneously within a unit cell at the superconducting transition temperature with only uniform, onsite and intra-orbital singlet pairing. As a result of…

超导电性 · 物理学 2021-08-12 Sudeep Kumar Ghosh , James F. Annett , Jorge Quintanilla

Surface states of d_{x^2-y^2}-wave superconductors are studied using the Ginzburg-Landau (GL) theory. For a [110] surface it has been known that the time-reversal symmetry (T) breaking surface state, (d+-is)-wave state, can occur if the…

超导电性 · 物理学 2008-09-30 Takeshi Tomizawa , Kazuhiro Kuboki

Proximity effects between ferromagnets (F) and superconductors (S) with broken time-reversal symmetry (T) are studied theoretically. For the S side we consider a chiral (p_x \pm ip_y)-wave, and a d_{x^2-y^2}-wave superconductor, the latter…

强关联电子 · 物理学 2009-11-07 Kazuhiro Kuboki , Hidenori Takahashi

We analyze $s + is$ state proposed as a candidate superconducting state for strongly hole-doped Ba$_{1-x}$K$_x$Fe$_2$As$_2$. Such a state breaks time-reversal symmetry (TRS) but does not break any other discrete symmetry. We address the…

超导电性 · 物理学 2015-06-23 Saurabh Maiti , Manfred Sigrist , Andrey Chubukov

We solve the Bogoliubov-de Gennes equations self-consistently for d-wave superconductors with [110] surfaces. We find spontaneous breaking of time-reversal symmetry (TRS) caused by the spontaneous occurrence of a complex order parameter…

超导电性 · 物理学 2018-05-09 Yuki Nagai , Yukihiro Ota , K. Tanaka

On the basis of Eilenberger theory, surface bound states and spontaneous current are studied in cyclic d-wave superconductors as a broken time-reversal symmetry of superconductivity in cubic lattice symmetry. We discuss how the spontaneous…

超导电性 · 物理学 2013-04-30 Masaki Ishikawa , Yasumasa Tsutsumi , Masanori Ichioka , Kazushige Machida

Recently, a theoretical study [Li {\it et al.},~npj Quantum Materials 6, 36 (2021)] investigated a model of a disordered $d$-wave superconductor, and reported local time-reversal symmetry breaking current loops for sufficiently high…

超导电性 · 物理学 2022-01-05 Clara N. Breiø , P. J. Hirschfeld , Brian M. Andersen

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)…

When matter undergoes a phase transition from one state to another, usually a change in symmetry is observed, as some of the symmetries exhibited are said to be spontaneously broken. The superconducting phase transition in the underdoped…

Spatial distributions of spontaneous magnetic fields near a surface of cuprate high-$T_C$ superconductor YBCO with broken time-reversal symmetry are calculated using the Ginzburg-Landau theory derived from the $t-J$ model. It is found that…

超导电性 · 物理学 2019-10-02 Kazuhiro Kuboki

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…

超导电性 · 物理学 2026-02-16 Warren E. Pickett

The effects of finite temperature, Meissner screening and surface roughness on the spontaneous edge current for higher chirality quasi-two dimensional superconductors are studied in the continuum limit using the quasiclassical Eilenberger…

超导电性 · 物理学 2018-09-05 Xin Wang , Zhiqiang Wang , Catherine Kallin

We study theoretically a model for twin boundaries in superconductors with Rashba spin-orbit coupling, which can be relevant to both three-dimensional noncentrosymmetric tetragonal crystals and two-dimensional gated superconductors such as…

超导电性 · 物理学 2015-06-18 Michael Achermann , Titus Neupert , Emiko Arahata , Manfred Sigrist

Time-reversal symmetry breaking superconductivity is a quintessential unconventional quantum state. In Josephson junctions, time-reversal symmetry breaking manifests itself in the supercurrent interference pattern as the invariance of the…

We study the physical properties of an $s$-wave -- normal metal -- $d$-wave junction in terms of the Andreev bound states in the normal metal layer. The phase dependence of bound states with different orientations leads to superconducting…

超导电性 · 物理学 2016-08-15 Andrea Huck , Anne van Otterlo , Manfred Sigrist

Within a Ginzburg-Landau formalism we establish analytically the necessary and sufficient conditions to realize a doubly degenerate superconducting ground state with broken time-reversal symmetry (BTRS) in a multi-band superconductor. Using…

超导电性 · 物理学 2017-12-05 Y. Yerin , A. Omelyanchouk , S. -L. Drechsler , D. V. Efremov , J. van den Brink

The induction of an s-wave component in a d-wave superconductor is considered. Near the {110}-oriented edges of such a sample, the induced s-wave order parameter together with d-wave component forms a complex combination d+e^{i\phi} s,…

超导电性 · 物理学 2009-10-31 Jian-Xin Zhu , C. S. Ting
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