PMID: 15245117Jul 13, 2004Paper

Exact bond ordered ground state for the transition between the band and the Mott insulator

Physical Review Letters
C D Batista, A A Aligia

Abstract

We derive an effective Hamiltonian H(eff) for an ionic Hubbard chain, valid for t<U,Delta, where t is the hopping, U is the Coulomb repulsion, and Delta is the charge-transfer energy. H(eff) is the minimal model for describing the transition between the band insulator (BI) (Delta-U>t) and the Mott insulator (MI) (U-Delta>t). Using spin-particle transformations [Phys. Rev. Lett. 86, 1082 (2001)]], we map H(eff)(U=Delta) 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.

References

Feb 1, 1995·Physical Review. B, Condensed Matter·G Fáth, J Sólyom
Sep 1, 1989·Physical Review. B, Condensed Matter·M N Barber, M T Batchelor
Apr 1, 1994·Physical Review. B, Condensed Matter·S IshiharaM Tachiki
Feb 15, 2001·Physical Review Letters·C D Batista, G Ortiz

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Citations

Mar 11, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A T Hoang
Mar 16, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Cheng-bo Duan, Wei-zhong Wang
Aug 16, 2006·Physical Review Letters·Arti GargMohit Randeria
May 12, 2015·Scientific Reports·Heng-Fu LinWu-Ming Liu
Jun 18, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·D A Rowlands, Yu-Zhong Zhang
Jun 2, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Mohsen Hafez, M R Abolhassani
Jun 18, 2016·Physical Review Letters·Tuomas I VanhalaPäivi Törmä
Jul 5, 2016·Reports on Progress in Physics·Cristian D BatistaYoshitomo Kamiya
Sep 26, 2015·Physical Review Letters·Michael MesserTilman Esslinger
Sep 4, 2008·Physical Review Letters·C D BatistaA A Aligia
Aug 25, 2004·Physical Review Letters·A A AligiaA P Kampf
Mar 16, 2007·Physical Review Letters·N ParisR T Scalettar

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