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}
}
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