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We explain why the theory of Escauriaza, Seregin, and Sverak (Russian Math. Surveys, 2003) on potential finite time singularity in Navier-Stokes solutions must be largely misapprehended. It is found that the proofs of the backward…

Fluid Dynamics · Physics 2019-04-17 F. Lam

Spontaneous time-reversal symmetry breaking plays an important role in studying strongly correlated unconventional superconductors. When two superconducting gap functions with different symmetries compete, the relative phase channel…

Superconductivity · Physics 2023-11-22 Meng Zeng , Lun-Hui Hu , Hong-Ye Hu , Yi-Zhuang You , Congjun Wu

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

Driven-dissipative quantum systems generically do not satisfy simple notions of detailed balance based on the time symmetry of correlation functions. We show that such systems can nonetheless exhibit a hidden time-reversal symmetry which…

Quantum Physics · Physics 2021-06-16 David Roberts , Andrew Lingenfelter , Aashish Clerk

Re-based superconductors provide a rich platform for the study of unconventional superconductivity. We have investigated the superconducting properties of Re$_{8}$NbTa, a new noncentrosymmetric cubic ($\alpha$-Mn structure) rhenium-based…

A broken time-reversal symmetry, i.e. broken detailed balance, is central to non-equilibrium physics and is a prerequisite for life. However, it turns out to be quite challenging to unambiguously define and quantify time-reversal symmetry…

Statistical Mechanics · Physics 2025-03-20 Cai Dieball , Aljaž Godec

The low energy optical conductivity of conventional superconductors is usually well described by Mattis-Bardeen (MB) theory which predicts the onset of absorption above an energy corresponding to twice the superconducing (SC) gap parameter…

Superconductivity · Physics 2017-10-18 G. Seibold , L. Benfatto , C. Castellani

We point out the flaw in the analysis of Gangopadhyaya and Mallow, hep-th/0206133, where it is claimed that supersymmetry is broken in the SUSY half-oscillator, even with a regularization respecting supersymmetry.

High Energy Physics - Theory · Physics 2007-05-23 Ashok Das , S. Pernice

We study the role of time-reversal symmetry on the dynamical response of nonlinear optical systems that behave as unidirectional ("one-way") devices. It is shown that lossless nonlinear materials, despite being nonreciprocal, are typically…

Applied Physics · Physics 2022-05-30 David E. Fernandes , Mário G. Silveirinha

It is one of the most important and long-standing issues of physics to derive the irreversibility out of a time-reversal symmetric equation of motion. The present paper considers the breaking of the time-reversal symmetry in open quantum…

Quantum Physics · Physics 2019-04-10 Naomichi Hatano , Gonzalo Ordonez

In this manuscript, we find an inhomogeneous stripes phase in a numerical model for an unconventional superconductor with time-reversal-breaking symmetry and triplet odd pairing. We contrast a robust well known homogeneous phase with dilute…

Superconductivity · Physics 2025-10-13 Pedro L. Contreras E

Zero and longitudinal field muon spin rotation (muSR) experiments were performed on the superconductors PrPt4Ge12 and LaPt4Ge12. In PrPt4Ge12 below Tc a spontaneous magnetization with a temperature variation resembling that of the…

This article gives a contemporary and to some extent pedagogical review of the current theoretical understanding of the formation of the superconducting state in metallic systems with a variable density of carriers. We make an attempt to…

Superconductivity · Physics 2008-02-03 V. M. Loktev , S. G. Sharapov

In the present paper we consider an inverse source problem for time-fractional mixed parabolic-hyperbolic equation with the Caputo derivative. In case, when hyperbolic part of the considered mixed type equation is wave equation, the…

Analysis of PDEs · Mathematics 2015-12-08 Pengbin Feng , E. T. Karimov

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 study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase…

Strongly Correlated Electrons · Physics 2017-08-04 Igor N. Karnaukhov

The antisymmetrised two-electron functions are constructed for the point group T$_{h}$, i.e. the symmetry group of unconventional superconductor PrOs$% _{4}$Sb$_{14}$., and its subgroup D$_{2h}$.The nodal structure of these function…

Superconductivity · Physics 2009-11-13 V. G. Yarzhemsky , V. I. Nefedov

In this note, the time reversible case of a general theorem of Bhattacharya is shown to imply the Kipnis-Varadhan functional central limit theorem for ergodic Markov processes. To this end, a few results from semigroup theory, including the…

Probability · Mathematics 2026-04-14 Edward C Waymire

We present a review of the leading theoretical approaches in the field of cuprate high temperature superconductivity. We start out by defining the problem and ask the question: whether an overarching theory possible (which is capable of…

Superconductivity · Physics 2020-12-25 Navinder Singh

We present a semiclassical approach for time delay statistics in quantum chaotic systems, in the presence of absorption, for broken time-reversal symmetry. We derive three kinds of expressions for Schur-moments of the time delay operator:…

Quantum Physics · Physics 2023-05-30 Marcel Novaes