2003/09/30 by Cristian D. Batista, C. D. Batista, A. A. Aligia · 2 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Coulomb #Electrical resistivity and conductivity #Electron #Ground state #Hamiltonian (control theory) #Hubbard model #Ion #Ionic bonding #Iron-based superconductors research #Metal–insulator transition #Mott insulator #Mott transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.92.246405
published as Phys. Rev. Lett. 92, 246405 (2004)
arxiv created 2004/02/26 · openalex publication_date 2004/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive an effective Hamiltonian Heff for an ionic Hubbard chain, valid for t\ensuremath≪U,\ensuremathΔ, where t is the hopping, U is the Coulomb repulsion, and \ensuremathΔ is the charge-transfer energy. Heff is the minimal model for describing the transition between the band insulator (BI) (\ensuremathΔ\ensuremath-U\ensuremath≫t) and the Mott insulator (MI) (U\ensuremath-\ensuremathΔ\ensuremath≫t). Using spin-particle transformations [Phys. Rev. Lett. 86, 1082 (2001)], we map Heff(U=\ensuremathΔ) into an SU(3) antiferromagnetic Heisenberg model whose exact ground state is known. In this way, we show rigorously that a spontaneously dimerized insulating ferroelectric phase appears in the transition region between the BI and the MI.