Effective Hamiltonian for a Half-filled Asymmetric Ionic Hubbard Chain with Alternating On-site Interaction

Abstract

We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model 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 and three-spin couplings in the presence of a uniform and a staggered magnetic field.

Revtex version, 20 pages; no figures or tables

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Cited by in corpus (5)

• Mass-Imbalanced Ionic Hubbard Chain
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model
• The large $|U|$ expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux
• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain