Existence of charge-density waves in two-dimensional ionic Hubbard model

2016/06/14 by Tadahiro Miyao, Miyao, Tadahiro
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.1606.04197

openalex publication_date 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We rigorously investigated the charge-charge correlation function of the ionic Hubbard model in two dimensions by reflection positivity. We prove the existence of charge-density waves for large staggered potential Δ (i.e., \fracΔ2+2V>U) at low temperatures, where U and V are the on-site and nearest-neighbor Coulomb repulsions, respectively. The results are consistent with previous numerical simulation results. We argue that the absence of charge-density waves for Δ=0 and U are large enough (i.e., U>\fracΔ2+2V).

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