Real-time switching between multiple steady-states in quantum transport

Details Real-time switching between multiple steady-states in quantum transport Real-time switching between multiple steady-states in quantum transport

2011-06-28

arxiv.org/abs/1106.5631v1

Journal of Physics, Conf. Ser. 220, 012018 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 8 figures, Submitted at "Progress in Nonequilibrium Green's Functions IV" conference

Scientific paper

10.1088/1742-6596/220/1/012018

We study transport through an interacting model system consisting of a central correlated site coupled to finite bandwidth tight-binding leads, which are considered as effectively noninteracting. Its nonequilibrium properties are determined by real-time propagation of the Kadanoff-Baym equations after applying a bias voltage to the system. The electronic interactions on the central site are incorporated by means of self-energy approximations at Hartree-Fock, second Born and GW level. We investigate the conditions under which multiple steady-state solutions occur within different self-energy approximations, and analyze in detail the nature of these states from an analysis of their spectral functions. At the Hartree-Fock level at least two stable steady-state solutions with different densities and currents can be found. By applying a gate voltage-pulse at a given time we are able to switch between these solutions. With the same parameters we find only one steady-state solution when the self-consistent second Born and GW approximations are considered. We therefore conclude that treatment of many-body interactions beyond mean-field can destroy bistability and lead to qualitatively different results as compared those at mean-field level.

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