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In this paper we study the phase diagram of a disordered, spin-orbit coupled superconductor with $s$-wave or $d+id$-wave pairing symmetry in symmetry class $D$. We analyze the topological phase transitions by applying three different…

强关联电子 · 物理学 2016-03-22 Jan Borchmann , Aaron Farrell , T. Pereg-Barnea

We consider the problem of disorder chaos in the spherical mean-field model. It is concerned about the behavior of the overlap between two independently sampled spin configurations from two Gibbs measures with the same external parameters.…

概率论 · 数学 2015-06-23 Wei-Kuo Chen , Hsi-Wei Hsieh , Chii-Ruey Hwang , Yuan-Chung Sheu

We first argue that the collective behaviour of the Cooper pairs created by thermal fluctuations well above the superconducting transition temperature, Tc, is dominated by the uncertainty principle which, in particular, leads to a…

We apply the Coherent Potential Approximation (CPA) to a simple extended Hubbard model with a nearest and next nearest neighbour hopping for disordered superconductors with s-, d- and p-wave pairing. We show how the Van Hove singularities…

超导电性 · 物理学 2015-06-24 G. Litak

We investigate the one-dimensional propagation of waves in the Anderson localization regime, for a single-mode, surface disordered waveguide. We make use of both an analytical formulation and rigorous numerical simulation calculations. The…

无序系统与神经网络 · 物理学 2009-11-10 J. A. Sanchez-Gil , V. Freilikher

We investigate superconductivity in a grand canonical ensemble with {\it fixed number parity} (even or odd). In the low temperature limit we find small corrections to the BCS gap equation and energy spectrum $E(k)$. The even-odd free energy…

凝聚态物理 · 物理学 2009-10-22 Boldizsar Janko , Anders Smith , Vinay Ambegaokar

The experimental investigations done in our paper Phys.Rev.B84,014522(2011) allowed us to establish that the superconducting fluctuations (SCF) always die out sharply with increasing T. But contrary to the claim done in the comment of…

超导电性 · 物理学 2012-05-08 F. Rullier-Albenque , H. Alloul , G. Rikken

It is demonstrated that the slope of the upper critical field $|dH_{c2}/dT|_{T_{c}}$ in superconductors with $d$-wave pairing drops rather fast with concentration of normal impurities, while in superconductors with anisotropic $s$-wave…

凝聚态物理 · 物理学 2009-10-28 A. I. Posazhennikova , M. V. Sadovskii

We consider the BCS energy gap $\Xi(T)$ (essentially given by $\Xi(T) \approx \Delta(T, \sqrt\mu)$, the BCS order parameter) at all temperatures $0 \le T \le T_c$ up to the critical one, $T_c$, and show that, in the limit of weak coupling,…

数学物理 · 物理学 2023-12-19 Joscha Henheik , Asbjørn Bækgaard Lauritsen

We study $D$-dimensional elastic manifolds driven by ac-forces in a disordered environment using a perturbation expansion in the disorder strength and the mean-field approximation. We find, that for $D\le 4$ perturbation theory produces…

无序系统与神经网络 · 物理学 2010-05-24 Friedmar Schütze

We study mesoscopic disorder fluctuations in an anisotropic gap superconductor, which lead to the spatial variations of the local pairing temperature and formation of superconducting islands above the mean-field transition. We derive the…

超导电性 · 物理学 2009-11-13 Victor Galitski

A characteristic feature of the BCS theory of superconductivity is the quantum-mechanical coherence of particle and hole states. Direct observation of particle-hole coherence in unusual superconducting materials is a strong indication of…

超导电性 · 物理学 2010-11-16 D. Rainer , H. Burkhardt , M. Fogelstrom , J. A. Sauls

We study finite size effects in superconducting metallic grains and determine the BCS order parameter and the low energy excitation spectrum in terms of size, and shape of the grain. Our approach combines the BCS self-consistency condition,…

Low temperature ($\sim$ 20~K) electron irradiation with 2.5 MeV relativistic electrons was used to study the effect of controlled non-magnetic disorder on the normal and superconducting properties of the type-II Dirac semimetal PdTe$_2$. We…

Although the BCS theory of superconductivity is a well established theory, we have shown that the phenomenology predicted by this model is much richer than previously believed. By releasing the constraint that the attraction band is…

超导电性 · 物理学 2016-11-23 Dragos-Victor Anghel

In superconductors with unconventional pairing mechanisms, the energy gap in the excitation spectrum often has nodes, which allow quasiparticle excitations at low energies. In many cases, e.g. $d$-wave cuprate superconductors, the position…

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

超导电性 · 物理学 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We present a comprehensive theory of light-controlled multi-band superconductivity and apply it to predict distinctive signatures of light-driven superconducting (SC) states in terahertz multi-dimensional coherent spectroscopy (THz-MDCS)…

超导电性 · 物理学 2024-05-21 Martin Mootz , Liang Luo , Chuankun Huang , Jigang Wang , llias E. Perakis

The finite temperature phase diagram for the 2D attractive fermion Hubbard model with spin-dependent disorder is considered within Bogoliubov-de Gennes mean field theory. Three types of disorder are studied. In the first, only one species…

超导电性 · 物理学 2013-08-12 Ravindra Nanguneri , Mi Jiang , Tyler Cary , George G. Batrouni , Richard T. Scalettar

We study superconductivity in isolated superconducting nano-cubes and nano-squares of size $L$ in the limit of negligible disorder, $\delta/\Delta_0 \ll 1$ and $k_F L \gg 1$ for which mean-field theory and semiclassical techniques are…

超导电性 · 物理学 2014-07-23 James Mayoh , Antonio M. García-García