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Title: Lattice spin models for non-Abelian chiral spin liquids

Abstract

Here, we suggest a class of two-dimensional lattice spin Hamiltonians describing non-Abelian SU(2) chiral spin liquids—spin analogs of fractional non-Abelian quantum Hall states—with gapped bulk and gapless chiral edge excitations described by the SU(2) n Wess-Zumino-Novikov-Witten conformal field theory. The models are constructed from an array of generalized spin-n/2 ladders with multi-spin-exchange interactions which are coupled by isolated spins. Such models allow a controllable analytic treatment starting from the one-dimensional limit and are characterized by a bulk gap and non-Abelian SU(2) n gapless edge excitations.

Authors:
 [1];  [2]
  1. Univ. de Cergy-Pontoise, Cergy-Pontoise Cedex (France)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1357956
Alternate Identifier(s):
OSTI ID: 1353279
Report Number(s):
BNL-113800-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1702616
Grant/Contract Number:  
SC00112704; AC02-98CH10886
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Lecheminant, P., and Tsvelik, A. M.. Lattice spin models for non-Abelian chiral spin liquids. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.140406.
Lecheminant, P., & Tsvelik, A. M.. Lattice spin models for non-Abelian chiral spin liquids. United States. doi:10.1103/PhysRevB.95.140406.
Lecheminant, P., and Tsvelik, A. M.. Wed . "Lattice spin models for non-Abelian chiral spin liquids". United States. doi:10.1103/PhysRevB.95.140406. https://www.osti.gov/servlets/purl/1357956.
@article{osti_1357956,
title = {Lattice spin models for non-Abelian chiral spin liquids},
author = {Lecheminant, P. and Tsvelik, A. M.},
abstractNote = {Here, we suggest a class of two-dimensional lattice spin Hamiltonians describing non-Abelian SU(2) chiral spin liquids—spin analogs of fractional non-Abelian quantum Hall states—with gapped bulk and gapless chiral edge excitations described by the SU(2)n Wess-Zumino-Novikov-Witten conformal field theory. The models are constructed from an array of generalized spin-n/2 ladders with multi-spin-exchange interactions which are coupled by isolated spins. Such models allow a controllable analytic treatment starting from the one-dimensional limit and are characterized by a bulk gap and non-Abelian SU(2)n gapless edge excitations.},
doi = {10.1103/PhysRevB.95.140406},
journal = {Physical Review B},
number = 14,
volume = 95,
place = {United States},
year = {Wed Apr 26 00:00:00 EDT 2017},
month = {Wed Apr 26 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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