Current characteristics of a one-dimensional Hubbard chain: Role of correlation and dissipation

Jakob Neumayer, Enrico Arrigoni, Markus Aichhorn, and Wolfgang von der Linden
Phys. Rev. B 92, 125149 – Published 29 September 2015

Abstract

We study the electronic transport in an infinite one-dimensional Hubbard chain, driven by a homogeneous electric field. The physical chain is coupled to fermionic bath chains in order to account for dissipation and to prevent the occurrence of Bloch oscillations. The steady-state current is computed in the frame of Keldysh Green's functions in cluster perturbation theory. The current characteristics are dominated by resonant-tunneling-like structures, which can be traced back to Wannier-Stark resonances due to antiferromagnetic correlations. The same current characteristic occurs in a noninteracting Wannier-Stark model with alternating on-site energies. Nonlocal effects of the self-energy can be accounted for the observed physical behavior.

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  • Received 25 June 2015

DOI:https://doi.org/10.1103/PhysRevB.92.125149

©2015 American Physical Society

Authors & Affiliations

Jakob Neumayer*, Enrico Arrigoni, Markus Aichhorn, and Wolfgang von der Linden

  • Institute of Theoretical and Computational Physics, Graz University of Technology, NAWI Graz, 8010 Graz, Austria

  • *jakob.neumayer@tugraz.at

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Vol. 92, Iss. 12 — 15 September 2015

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