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:
-
[3]
- Paul Scherrer Inst. (PSI), Villigen (Switzerland)
- Boston Univ., MA (United States)
- 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)
- 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. https://doi.org/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. https://doi.org/10.1103/PhysRevB.99.184445. https://www.osti.gov/servlets/purl/1543410.
@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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Works referencing / citing this record:
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