English

Directional Ordering of Fluctuations in a Two-dimensional Compass Model

Strongly Correlated Electrons 2009-11-10 v1

Abstract

In the Mott insulating phase of the transition metal oxides, the effective orbital-orbital interaction is directional both in the orbital space and in the real space. We discuss a classical realization of directional coupling in two dimensions. Despite extensive degeneracy of the ground state, the model exhibits partial orbital ordering in the form of directional ordering of fluctuations at low temperatures stabilized by an entropy gap. Transition to the disordered phase is shown to be in the Ising universality class through exact mapping and multicanonical Monte Carlo simulations.

Keywords

Cite

@article{arxiv.cond-mat/0407470,
  title  = {Directional Ordering of Fluctuations in a Two-dimensional Compass Model},
  author = {Anup Mishra and Michael Ma and Fu-Chun Zhang and Siegfried Guertler and Lei-Han Tang and Shaolong Wan},
  journal= {arXiv preprint arXiv:cond-mat/0407470},
  year   = {2009}
}

Comments

4 pages, revtex, 2 figures

R2 v1 2026-07-22T11:05:44.132Z