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Gutzwiller approximation for paramagnetic ionic Hubbard model: Analytic expression for band-Mott insulator transition

Strongly Correlated Electrons 2025-12-13 v1

Abstract

The ionic Hubbard model is a paradigmatic setup for studying the competition between band and Mott insulating behavior. Within the variationally exact in infinite dimensions Gutzwiller approximation, we derive a compact analytic expression for the phase boundary between Mott and band insulator. While the method reproduces the expected band-Mott insulator phenomenology, it does not capture the correlated metallic state at finite staggered potential found for example in dynamical mean-field theory. This absence highlights that the metallic phase originates from incoherent Hubbard-band physics rather than Fermi-liquid behavior well captured by Gutzwiller approximation. Our formulation establishes a concise variational framework to ionic Hubbard model, with natural extensions to nonequilibrium setups and spin-exchange dynamics.

Keywords

Cite

@article{arxiv.2512.10096,
  title  = {Gutzwiller approximation for paramagnetic ionic Hubbard model: Analytic expression for band-Mott insulator transition},
  author = {Marcin M. Wysokiński},
  journal= {arXiv preprint arXiv:2512.10096},
  year   = {2025}
}

Comments

Submitted to Acta Physica Polonica B as proceedings of the Concepts in Strongly Correlated Quantum Matter 2025 conference

R2 v1 2026-07-01T08:19:37.189Z