Keldysh technique and non-linear σ-model: basic principles and applications

IF 35 1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER
A. Kamenev, A. Levchenko
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引用次数: 296

Abstract

The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The emphasis is placed on a functional integral representation of the underlying microscopic models. A large part of the review is devoted to derivation and applications of the non-linear σ-model for disordered metals and superconductors. We discuss topics such as transport properties, mesoscopic effects, counting statistics, interaction corrections, kinetic equations, etc. The section devoted to disordered superconductors includes the Usadel equation, fluctuation corrections, time-dependent Ginzburg–Landau theory, proximity and Josephson effects, etc.
Keldysh技术与非线性σ模型:基本原理与应用
本文的目的是对非平衡费米子和玻色子系统相互作用的Keldysh技术进行全面的教学介绍。重点放在微观模型的功能积分表示上。这篇综述的很大一部分是关于无序金属和超导体的非线性σ-模型的推导和应用。我们讨论的主题包括输运性质、介观效应、计数统计、相互作用修正、动力学方程等。无序超导体部分包括Usadel方程、涨落修正、时变金兹堡-朗道理论、邻近和约瑟夫森效应等。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Physics
Advances in Physics 物理-物理:凝聚态物理
CiteScore
67.60
自引率
0.00%
发文量
1
期刊介绍: Advances in Physics publishes authoritative critical reviews by experts on topics of interest and importance to condensed matter physicists. It is intended for motivated readers with a basic knowledge of the journal’s field and aims to draw out the salient points of a reviewed subject from the perspective of the author. The journal''s scope includes condensed matter physics and statistical mechanics: broadly defined to include the overlap with quantum information, cold atoms, soft matter physics and biophysics. Readership: Physicists, materials scientists and physical chemists in universities, industry and research institutes.
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