Review of recent developments of the functional renormalization group for systems out of equilibrium
arXiv:2205.00919 · doi:10.1140/epjb/s10051-022-00445-3
Abstract
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.
arXiv commentAppearing as part of a EPJB collection "Developments in the functional renormalization group approach to correlated electron systems"
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