Featureless quantum insulator on the honeycomb lattice
Abstract
We show how to construct fully symmetric, gapped states without topological order on a honey- comb lattice for S = 1/2 spins using the language of projected entangled pair states(PEPS). An explicit example is given for the virtual bond dimension D = 4. Four distinct classes differing by lattice quantum numbers are found by applying the systematic classification scheme introduced by two of the authors [S. Jiang and Y. Ran, Phys. Rev. B 92, 104414 (2015)]. Lack of topological degeneracy or other conventional forms of symmetry breaking, and the existence of energy gap in the proposed wave functions, are checked by numerical calculations of the entanglement entropy and various correlation functions. Our work provides the first explicit realization of a featureless quantum insulator for spin-1/2 particles on a honeycomb lattice.
Keywords
Cite
@article{arxiv.1509.04358,
title = {Featureless quantum insulator on the honeycomb lattice},
author = {Panjin Kim and Hyunyong Lee and Shenghan Jiang and Brayden Ware and Chao-Ming Jian and Michael Zaletel and Jung Hoon Han and Ying Ran},
journal= {arXiv preprint arXiv:1509.04358},
year = {2016}
}
Comments
Significantly revised version with new author list. Supplementary file available upon request