DescriptionThe state of the art in simulating strongly correlated models out of equilibrium is to account for the dissipation of the energy injected into the system by means of auxiliary fermion baths known as Büttiker probes. In real compounds, however, Joule heat is carried away by lattice vibrations: including phonons in a coherent picture is then necessary to be able to predict the microscopic mechanisms governing heat transport in solids. To this purpose acoustic or optic phonon branches are treated within the non-self-consistent Migdal approximation. However, the latter scheme makes numerical calculations within the dynamical mean field theory approach very unstable, so there are actual limitations about reaching a steady-state solution without resorting to a coupling to a fermion bath. By means of the Floquet non-equilibrium Green's function approach we study the stability of the steady-state solution of a Hubbard model subject tot a static electric field - with phonons alone to provide dissipation - through the analysis of its spectral properties together with the frequency-resolved current and kinetic energy profiles.
|1 Aug 2022 → 5 Aug 2022
|Max Planck Institute for the Physics of Complex Systems, Germany
|Degree of Recognition