From Band Insulator to Mott Insulator in One Dimension

1999/04/22 by Michele Fabrizio, Alexander O. Gogolin, A. A. Nersesyan +1 · 6 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.83.2014

published as Phys.Rev.Lett. 83 (1999) 2014-2017 · 4 pages LaTex (RevTex) and 1 postscript figure included by epsf

arxiv created 1999/04/22 · openalex publication_date 1999/09/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the phase diagram for the one-dimensional model of a ferroelectric perovskite recently analyzed by Egami, Ishihara, and Tachiki [Science 261, 1307 (1993)]. We show that the interplay between covalency, ionicity, and strong correlations results in a spontaneously dimerized phase which separates the weak-coupling band insulator from the strong-coupling Mott insulator. The transition from the band insulator to the dimerized phase is identified as an Ising critical point. The charge gap vanishes at this single point with the optical conductivity diverging as \ensuremathσ(\ensuremathω)\ensuremath∼\ensuremathω^\ensuremath-3/4. The spin excitations are gapless above the second transition to the Mott insulator phase.

Citations

• On Next-Nearest-Neighbor Interaction in Linear Chain. I

Cited by

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• Quantum critical behavior of the one-dimensional ionic Hubbard model