Dimensional Crossover Driven by an Electric Field

Camille Aron, Gabriel Kotliar, and Cedric Weber

Phys. Rev. Lett. 108, 086401 – Published 22 February 2012

Abstract

We study the steady-state dynamics of the Hubbard model driven out of equilibrium by a constant electric field and coupled to a dissipative heat bath. For a very strong field, we find a dimensional reduction: the system behaves as an equilibrium Hubbard model in lower dimensions. We derive steady-state equations for the dynamical mean-field theory in the presence of dissipation. We discuss how the electric field induced dimensional crossover affects the momentum resolved and integrated spectral functions, the energy distribution function, as well as the steady current in the nonlinear regime.

Received 27 May 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.086401

Authors & Affiliations

Camille Aron¹, Gabriel Kotliar¹, and Cedric Weber²

¹Department of Physics and Astronomy, Rutgers University, 136 Frelinghuysen Road, Piscataway, New Jersey 08854, USA
²Cavendish Laboratories, Cambridge University, JJ Thomson Avenue, Cambridge, United Kingdom