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.
Appearing as part of a EPJB collection "Developments in the functional renormalization group approach to correlated electron systems"
References in corpus (22)
- The density-matrix renormalization group in the age of matrix product states
- Real time evolution using the density matrix renormalization group
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Real-time path integral approach to nonequilibrium many-body quantum system
- Diagrammatic Monte Carlo simulation of non-equilibrium systems
- Iterative real-time path integral approach to nonequilibrium quantum transport
- Nonequilibrium quantum criticality in open electronic systems
- Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
- A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
- Josephson current through a single Anderson impurity coupled to BCS leads
- A finite-frequency functional RG approach to the single impurity Anderson model
- A novel approach to transport through correlated quantum dots
- Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
- Functional renormalization group for Luttinger liquids with impurities
- Renormalization group approach to interacting fermion systems in the two-particle-irreducible formalism
- Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
- Two-particle irreducible functional renormalization group schemes---a comparative study
- Non-equilibrium time evolution of bosons from the functional renormalization group
- Functional Renormalization Group Approach for Inhomogeneous One-Dimensional Fermi Systems with Finite-Ranged Interactions
- Functional renormalization group in Floquet space
- Transport through correlated quantum dots: An investigation using the functional renormalization group
- Second order functional renormalization group approach to one-dimensional systems in real and momentum space