Interacting Anyonic Fermions in a Two-Body Color Code Model
Strongly Correlated Electrons
2013-05-29 v2 High Energy Physics - Theory
Quantum Physics
Abstract
We introduce a two-body quantum Hamiltonian model of spin-1/2 on a 2D spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code model. High energy excitations fall into three families of anyonic fermions that turn out to be strongly interacting. The model exhibits a Z_2xZ_2 gauge group symmetry and string-net integrals of motion, which are related to the existence of topological charges that are invisible to moving high-energy fermions.
Cite
@article{arxiv.0811.0911,
title = {Interacting Anyonic Fermions in a Two-Body Color Code Model},
author = {H. Bombin and M. Kargarian and M. A. Martin-Delgado},
journal= {arXiv preprint arXiv:0811.0911},
year = {2013}
}
Comments
RevTeX 4, 2 figures, longer version