Review of recent developments of the functional renormalization group for systems out of equilibrium

被引：1

作者：

Camacho, G. ^{[1
]}

Kloeckner, C. ^{[1
]}

Kennes, D. M. ^{[2
,3
,4
]}

Karrasch, C. ^{[1
]}

机构：

[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Mathemat Phys, D-38106 Braunschweig, Germany

[2] Rhein Westfal TH Aachen, Inst Theorie Statist Phys, D-52056 Aachen, Germany

[3] JARA Fundamentals Future Informat Technol, D-52056 Aachen, Germany

[4] Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany

来源：

EUROPEAN PHYSICAL JOURNAL B | 2022年 / 95卷 / 12期

关键词：

MEAN-FIELD THEORY; FERMION SYSTEMS; ELECTRONS;

D O I：

10.1140/epjb/s10051-022-00445-3

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the frequency-dependence of the two particle vertex and which incorporate inelastic processes. Our focus is on two different types of one-dimensional fermion chains: (i) infinite, open systems which feature a translation symmetry, and (ii) finite systems coupled to left and right reservoirs. In addition to giving a detailed and unified review of the technical derivation of the FRG schemes, we briefly summarize some of the key physical results. In particular, we compute the non-equilibrium phase diagram and analyze the fate of the Berezinskii-Kosterlitz-Thouless transition in the infinite, open system.

引用

页数：28

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