English

Mosaic spin models with topological order

Strongly Correlated Electrons 2011-11-10 v3 Quantum Physics

Abstract

We study a class of two-dimensional spin models with the Kitaev-type couplings in mosaic structure lattices to implement topological orders. We show that they are exactly solvable by reducing them to some free Majorana fermion models with gauge symmetries. The typical case with a 4-8-8 close packing is investigated in detail to display the quantum phases with Abelian and non-Abelian anyons. Its topological properties characterized by Chern numbers are revealed through the edge modes of its spectrum.

Keywords

Cite

@article{arxiv.0708.0676,
  title  = {Mosaic spin models with topological order},
  author = {S. Yang and D. L. Zhou and C. P. Sun},
  journal= {arXiv preprint arXiv:0708.0676},
  year   = {2011}
}

Comments

4 pages, 3 figures. Final version to appear in Phys. Rev. B as a Rapid Communication

R2 v1 2026-06-21T09:04:57.983Z