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The review of recent developments in the unconventional superconductivity theory is given. In the fist part I consider the physical origin of the Kerr rotation polarization of light reflected from the surface of superconducting $Sr_2RuO_4$.…

Superconductivity · Physics 2015-05-13 V. P. Mineev

In the recent experiments the unusual oscillatory magnetoresistance in superconductors was discovered with a periodicity essentially independent on magnetic field direction and even material parameters. The nearly universal period points to…

General Physics · Physics 2017-01-24 Boris I. Ivlev

Topological quantum materials hold great promise for future technological applications. Their unique electronic properties, such as protected surface states and exotic quasiparticles, offer opportunities for designing novel electronic…

Strongly Correlated Electrons · Physics 2024-05-28 Christian Stefan Gruber , Mahmoud Abdel-Hafiez

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

We investigate the nature of quantum entanglement in long-range orders and spontaneous symmetry breaking. It is shown that diminishing of entanglement between the condensate mode and the rest of the system underlies off-diagonal long-range…

Condensed Matter · Physics 2009-11-07 Yu Shi

Attempts to explain correlated-electron superconductivity have largely focused on the proximity of the superconducting state to antiferromagnetism. Yet, there exist many correlated-electron systems that exhibit insulator-superconducting…

Superconductivity · Physics 2014-07-28 S. Mazumdar , R. T. Clay

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

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…

Superconductivity · Physics 2008-09-30 Takeshi Tomizawa , Kazuhiro Kuboki

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

We report the magnetic and superconducting properties of locally noncentrosymmetric SrPtAs obtained by muon-spin-rotation/relaxation (muSR) measurements. Zero-field muSR reveals the occurrence of small spontaneous static magnetic fields…

Superconducting materials with noncentrosymmetric lattices lacking space inversion symmetry exhibit a variety of interesting parity-breaking phenomena, including the magneto-electric effect, spin-polarized currents, helical states, and the…

Superconductivity · Physics 2020-11-30 Julien Garaud , Maxim N. Chernodub , Dmitri E. Kharzeev

Spontaneous symmetry breaking provides a powerful window into the nature of underlying electronic orders. In strongly correlated systems, multiple symmetry-breaking orders can arise simultaneously. and their interplay generates an intricate…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Erin Morissette , Peiyu Qin , K. Watanabe , T. Taniguchi , J. I. A. Li

Recently the superconductor and topological semimetal PbTaSe$_2$ was experimentally found to exhibit surface-only lattice rotational symmetry breaking below $T_c$. We exploit the Ginzburg-Landau free energy and propose a microscopic…

Superconductivity · Physics 2019-05-29 Hui-Ke Jin , Dong-Hui Xu , Yi Zhou

The multipocket Fermi surfaces of iron-based superconductors promote pairing states with both s_{+-}-wave and d_{x^2-y^2}-wave symmetry. We argue that the competition between these two order parameters could lead to a time-reversal-symmetry…

Superconductivity · Physics 2015-05-28 Christian Platt , Ronny Thomale , Carsten Honerkamp , Shou-Cheng Zhang , Werner Hanke

Two-dimensional (2D) superconductors, characterized by their inherent quantum confinement, strong spin-orbit coupling, and diverse forms of symmetry breaking, provide an ideal platform for exploring novel quantum transport phenomena. This…

Superconductivity · Physics 2026-03-03 Xingrong Ren , Huiqing Ye , Tian Le

Recent findings of superconductors that simultaneously exhibit multiple spontaneously broken symmetries, such as ferromagnetic order or lack of an inversion center and even combinations of such broken symmetries, have led to much…

Strongly Correlated Electrons · Physics 2015-06-25 J. Linder , M. Grønsleth , A. Sudbø

The spontaneous breaking of symmetries is a widespread phenomenon in physics. When time translational symmetry is spontaneously broken, an exotic nonequilibrium state of matter in which the same structures repeat themselves in time can…

Soft Condensed Matter · Physics 2021-12-10 Marina Evers , Raphael Wittkowski

We present a new mechanism for oscillatory or random reversals of the magnetic field that occur from a stationary dynamo state. The basic ingredient is the existence of two nearly critical dynamo eigenmodes, a stable and an unstable one,…

Geophysics · Physics 2008-10-29 F. Petrelis , S. Fauve

Nine years ago, superconductors based on the magnetic element iron were discovered. A flurry of research activity has revealed an unprecedented diversity of chemical structures and physical properties. Similarly to other unconventional…

Superconductivity · Physics 2017-11-17 Anna Böhmer , Andreas Kreyssig

We study the impurity effect in the time reversal symmetry (${\cal T}$) breaking superconductor based on the Bogoliubov-de Gennes (BdG) equations. In ${\cal T}$-violating superconductors, spontaneous currents are induced around the…

Superconductivity · Physics 2009-10-31 Yikihiro Okuno