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Model of spin liquids with and without time-reversal symmetry

Journal Article · · Physical Review B
 [1];  [1];  [2];  [3]
  1. Paul Scherrer Inst. (PSI), Villigen (Switzerland)
  2. Boston Univ., MA (United States)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
+ Show Author Affiliations
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
Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
FG02-06ER46316; SC0012704
OSTI ID:
1543410
Alternate ID(s):
OSTI ID: 1523551
Report Number(s):
BNL--211895-2019-JAAM
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 18 Vol. 99; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

Coupled-wire constructions: a Luttinger liquid approach to topology journal February 2020
Coupled-wire constructions: a Luttinger liquid approach to topology text January 2019

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