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Title: Model of spin liquids with and without time-reversal symmetry

Abstract

We study a model in (2 + 1)-dimensional space-time that is realized by an array of chains, each of which realizes relativistic Majorana fields in (1 + 1)-dimensional space-time, coupled via current-current interactions. The model is shown to have a lattice realization as an array of coupled quantum spin-1/2 ladders. We study this model both in the presence and in the absence of time-reversal symmetry within a mean-field approximation. We find regimes in coupling space where Abelian and non-Abelian spin-liquid phases are stable. In the case when the Hamiltonian is time-reversal symmetric, we find regimes where gapped Abelian and non-Abelian chiral phases appear as a result of spontaneous breaking of time-reversal symmetry. These gapped phases are separated by a discontinuous phase transition. More interestingly, we find a regime for which a nonchiral gapless non-Abelian spin liquid is stable. The excitations in this regime are described by relativistic Majorana fields in (2 + 1)-dimensional space-time, much as those appearing in the Kitaev honeycomb model but here emerging in a model of coupled spin ladders that do not break the SU(2) spin-rotation symmetry

Authors:
 [1];  [1];  [2]; ORCiD logo [3]
  1. Paul Scherrer Inst. (PSI), Villigen (Switzerland)
  2. Boston Univ., MA (United States)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1543410
Alternate Identifier(s):
OSTI ID: 1523551
Report Number(s):
BNL-211895-2019-JAAM
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:  
SC0012704; FG02-06ER46316
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 18; 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

Chen, Jyong-Hao, Mudry, Christopher, Chamon, Claudio, and Tsvelik, A. M. Model of spin liquids with and without time-reversal symmetry. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.184445.
Chen, Jyong-Hao, Mudry, Christopher, Chamon, Claudio, & Tsvelik, A. M. Model of spin liquids with and without time-reversal symmetry. United States. doi:10.1103/PhysRevB.99.184445.
Chen, Jyong-Hao, Mudry, Christopher, Chamon, Claudio, and Tsvelik, A. M. Thu . "Model of spin liquids with and without time-reversal symmetry". United States. doi:10.1103/PhysRevB.99.184445.
@article{osti_1543410,
title = {Model of spin liquids with and without time-reversal symmetry},
author = {Chen, Jyong-Hao and Mudry, Christopher and Chamon, Claudio and Tsvelik, A. M.},
abstractNote = {We study a model in (2 + 1)-dimensional space-time that is realized by an array of chains, each of which realizes relativistic Majorana fields in (1 + 1)-dimensional space-time, coupled via current-current interactions. The model is shown to have a lattice realization as an array of coupled quantum spin-1/2 ladders. We study this model both in the presence and in the absence of time-reversal symmetry within a mean-field approximation. We find regimes in coupling space where Abelian and non-Abelian spin-liquid phases are stable. In the case when the Hamiltonian is time-reversal symmetric, we find regimes where gapped Abelian and non-Abelian chiral phases appear as a result of spontaneous breaking of time-reversal symmetry. These gapped phases are separated by a discontinuous phase transition. More interestingly, we find a regime for which a nonchiral gapless non-Abelian spin liquid is stable. The excitations in this regime are described by relativistic Majorana fields in (2 + 1)-dimensional space-time, much as those appearing in the Kitaev honeycomb model but here emerging in a model of coupled spin ladders that do not break the SU(2) spin-rotation symmetry},
doi = {10.1103/PhysRevB.99.184445},
journal = {Physical Review B},
number = 18,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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