Non-equilibrium itinerant-electron magnetism: a time-dependent mean-field theory

Abstract

We study the dynamical magnetic susceptibility of a strongly correlated electronic system in the presence of a time-dependent hopping field, deriving a generalized Bethe-Salpeter equation which is valid also out of equilibrium. Focusing on the single-orbital Hubbard model within the time-dependent Hartree-Fock approximation, we solve the equation in the non-equilibrium adiabatic regime, obtaining a closed expression for the transverse magnetic susceptibility. From this, we provide a rigorous definition of non-equilibrium (time-dependent) magnon frequencies and exchange parameters, expressed in terms of non-equilibrium single-electron Green functions and self-energies. In the particular case of equilibrium, we recover previously known results.

Revised version

References in corpus (4)

• Non-equilibrium magnetic interactions in strongly correlated systems
• Non-equilibrium cluster-perturbation theory
• Magnetic interactions in strongly correlated systems: spin and orbital contributions
• Spin and orbital exchange interactions from Dynamical Mean Field Theory

Cited by in corpus (7)

• Effective Heisenberg model and exchange interaction for strongly correlated systems
• Transient spin dynamics in a single-molecule magnet
• Exchange constants for local spin Hamiltonians from tight-binding models
• Dynamical exchange and phase induced switching of a localized molecular spin
• Magnon activation by hot electrons via non-quasiparticle states
• Phonon-induced renormalization of exchange interactions in metallic two-dimensional magnets
• Discrete-time construction of nonequilibrium path integrals on the Kostantinov-Perel' time contour