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Title: An Exact Chiral Spin Liquid with Non-Abelian Anyons

Abstract

We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL state spontaneously breaks time reversal symmetry but preserves other symmetries. There are two topologically distinct CSLs separated by a quantum critical point. Interestingly, vortex excitations in the topologically nontrivial (Chern number {+-}1) CSL obey non-Abelian statistics.

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
975039
Report Number(s):
SLAC-PUB-13970
TRN: US1002378
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Submitted to Physical Review Letters
Additional Journal Information:
Journal Name: Submitted to Physical Review Letters
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANYONS; GROUND STATES; SPIN; STATISTICS; SYMMETRY; MATSCI

Citation Formats

Yao, Hong. An Exact Chiral Spin Liquid with Non-Abelian Anyons. United States: N. p., 2010. Web.
Yao, Hong. An Exact Chiral Spin Liquid with Non-Abelian Anyons. United States.
Yao, Hong. 2010. "An Exact Chiral Spin Liquid with Non-Abelian Anyons". United States. https://www.osti.gov/servlets/purl/975039.
@article{osti_975039,
title = {An Exact Chiral Spin Liquid with Non-Abelian Anyons},
author = {Yao, Hong},
abstractNote = {We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL state spontaneously breaks time reversal symmetry but preserves other symmetries. There are two topologically distinct CSLs separated by a quantum critical point. Interestingly, vortex excitations in the topologically nontrivial (Chern number {+-}1) CSL obey non-Abelian statistics.},
doi = {},
url = {https://www.osti.gov/biblio/975039}, journal = {Submitted to Physical Review Letters},
number = ,
volume = ,
place = {United States},
year = {Tue Apr 06 00:00:00 EDT 2010},
month = {Tue Apr 06 00:00:00 EDT 2010}
}