Effective Hamiltonian for a half-filled asymmetric ionic Hubbard chain with alternating on-site interaction

Author:

Grusha I.1,Menteshashvili M.2,Japaridze G. I.3

Affiliation:

1. Faculty of Natural Sciences and Engineering, Ilia State University, Cholokashvili Avenue 3-5, Tbilisi 0162, Georgia

2. Department of Physics, University of Fribourg, Chemin du Musée 3, Fribourg, CH-1700, Switzerland

3. Andronikashvili Institute of Physics, Tamarashvili Street 6, Tbilisi 0177, Georgia

Abstract

We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model (IHM) with alternating on-site interaction in the limit of strong repulsion. It is shown that the effective Hamiltonian is that of a spin S = 1/2 anisotropic XXZ Heisenberg chain with alternating next-nearest-neighbor (NNN) and three-spin couplings in the presence of a uniform and a staggered magnetic field.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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