From band insulator to Mott insulator in one dimension

Details From band insulator to Mott insulator in one dimension From band insulator to Mott insulator in one dimension

1999-04-22

arxiv.org/abs/cond-mat/9904319v1

Phys.Rev.Lett. 83 (1999) 2014-2017

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages LaTex (RevTex) and 1 postscript figure included by epsf

Scientific paper

10.1103/PhysRevLett.83.2014

We derive the phase diagram for the one-dimensional model of a ferroelectric perovskite recently introduced by Egami, Ishihara and Tachiki [Science, {\bf 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 $\sigma(\omega)\sim \omega^{-3/4}$. The spin excitations are gapless above the second transition to the Mott insulator phase.

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