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

2015/06/30 by Inna Grusha, I. Grusha, M. Menteshashvili +3
Mathematics · Physics and Astronomy · #Anisotropy #Chain (unit) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ferromagnetism #Hamiltonian (control theory) #Heisenberg model #Hubbard model #Ion #Ionic bonding #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Strong Light-Matter Interactions #cond-mat.str-el

paper · pdf · doi:10.1142/s0217979215502604

published as Int. J. Mod. Phys. B 30, 1550260 (2016) · Revtex version, 20 pages; no figures or tables

openalex publication_date 2016/01/06 · arxiv created 2016/01/29 · arxiv updated 2016/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Single-Particle Excitations in Narrow Energy Bands
• Ground state properties of an asymmetric Hubbard model for unbalanced ultracold fermionic quantum gases
• Flow‐equations for Hamiltonians