Lattice spin models for nonAbelian chiral spin liquids
Abstract
Here, we suggest a class of twodimensional lattice spin Hamiltonians describing nonAbelian SU(2) chiral spin liquids—spin analogs of fractional nonAbelian quantum Hall states—with gapped bulk and gapless chiral edge excitations described by the SU(2) _{n} WessZuminoNovikovWitten conformal field theory. The models are constructed from an array of generalized spinn/2 ladders with multispinexchange interactions which are coupled by isolated spins. Such models allow a controllable analytic treatment starting from the onedimensional limit and are characterized by a bulk gap and nonAbelian SU(2) _{n} gapless edge excitations.
 Authors:
 Univ. de CergyPontoise, CergyPontoise Cedex (France)
 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) (SC22)
 OSTI Identifier:
 1357956
 Alternate Identifier(s):
 OSTI ID: 1353279
 Report Number(s):
 BNL1138002017JA
Journal ID: ISSN 24699950; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1702616
 Grant/Contract Number:
 SC00112704; AC0298CH10886
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 14; Journal ID: ISSN 24699950
 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 nonAbelian chiral spin liquids. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.140406.
Lecheminant, P., & Tsvelik, A. M.. Lattice spin models for nonAbelian chiral spin liquids. United States. doi:10.1103/PhysRevB.95.140406.
Lecheminant, P., and Tsvelik, A. M.. Wed .
"Lattice spin models for nonAbelian 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 nonAbelian chiral spin liquids},
author = {Lecheminant, P. and Tsvelik, A. M.},
abstractNote = {Here, we suggest a class of twodimensional lattice spin Hamiltonians describing nonAbelian SU(2) chiral spin liquids—spin analogs of fractional nonAbelian quantum Hall states—with gapped bulk and gapless chiral edge excitations described by the SU(2)n WessZuminoNovikovWitten conformal field theory. The models are constructed from an array of generalized spinn/2 ladders with multispinexchange interactions which are coupled by isolated spins. Such models allow a controllable analytic treatment starting from the onedimensional limit and are characterized by a bulk gap and nonAbelian 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}
}
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