Mapping of strongly correlated steady-state nonequilibrium system to an effective equilibrium

J. E. Han
Phys. Rev. B 75, 125122 – Published 30 March 2007

Abstract

By mapping steady-state nonequilibrium to an effective equilibrium, we formulate nonequilibrium problems within an equilibrium picture. The Hamiltonian in the open system is rewritten in terms of scattering states with appropriate boundary condition. We first study the analytic properties of many-body scattering states, impose the boundary-condition operator in a statistical operator and prove that this mapping is equivalent to the linear-response theory in the low-bias limit. In an example of infinite-U Anderson impurity model, we approximately solve the scattering state creation operators, based on which we derive the bias operator Ŷ to construct the nonequilibrium ensemble in the form of the Boltzmann factor eβ(ĤŶ). The resulting effective Hamiltonian is solved by noncrossing approximation. We obtain the IV features of Kondo anomaly conductance at zero bias, inelastic transport via the charge excitation on the quantum dot, and significant inelastic current background over a wide range of bias.

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  • Received 25 April 2006

DOI:https://doi.org/10.1103/PhysRevB.75.125122

©2007 American Physical Society

Authors & Affiliations

J. E. Han

  • Department of Physics, State University of New York at Buffalo, Buffalo, New York 14260, USA

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Issue

Vol. 75, Iss. 12 — 15 March 2007

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