Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator

Details Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator

2003-09-12

arxiv.org/abs/cond-mat/0309295v2

Phys. Rev. Lett. 92, 246405 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.92.246405

We derive an effective Hamiltonian $H_{eff}$ for an ionic Hubbard chain, valid for $t\ll U,\Delta $, where $t$ is the hopping, $U$ the Coulomb repulsion, and $\Delta$ the charge transfer energy. $H_{eff}$ is the minimal model for describing the transition from the band insulator (BI) ($\Delta -U\gg t$) and the Mott insulator (MI) ($U-\Delta \gg t$). Using spin-particle transformations (Phys. Rev. Lett. \textbf{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 MI.

Affiliated with

Also associated with

No associations

Rating

Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230120