Model of chiral spin liquids with Abelian and non-Abelian topological phases

Chen, Jyong-Hao; Mudry, Christopher; Chamon, Claudio; Tsvelik, A. M.

doi:10.1103/PhysRevB.96.224420

Title: Model of chiral spin liquids with Abelian and non-Abelian topological phases

Journal Article · Fri Dec 15 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.96.224420· OSTI ID:1425001

Chen, Jyong-Hao ^[1]; Mudry, Christopher ^[1]; Chamon, Claudio ^[2]; Tsvelik, A. M. ^[3]

Paul Scherrer Inst. (PSI), Villigen (Switzerland). Condensed Matter Theory Group
Boston Univ., MA (United States). Dept. of Physics
Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Division

In this article, we present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative approaches. The first consists of a mean-field approximation. The second consists of a random phase approximation (RPA) for the single-particle Green's functions of the Majorana fermions built from their exact forms in a certain one-dimensional limit. The resulting phase diagram consists of two competing chiral phases, one with Abelian and the other with non-Abelian topological order, separated by a continuous phase transition. Remarkably, the Majorana fermions propagate in the two-dimensional bulk, as in the Kitaev model for a spin liquid on the honeycomb lattice. We identify the vison fields, which are mobile (they are static in the Kitaev model) domain walls propagating along only one of the two space directions.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Swiss National Science Foundation (SNSF); Boston Univ., MA (United States)

Grant/Contract Number:: SC0012704; 2000021 153648; FG02-06ER46316; AC02-98CH10886

OSTI ID:: 1425001

Alternate ID(s):: OSTI ID: 1413563; OSTI ID: 1425000

Report Number(s):: BNL-114843-2017-JAAM; BNL-114836-2017-JAAM; PRBMDO; TRN: US1801993

Journal Information:: Physical Review B, Vol. 96, Issue 22; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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Exact solution of an integrable anisotropic $\boldsymbol{J_1-J_2}$ spin chain model Qiao, Yi; Sun, Pei; Xin, Zhirong Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 7 https://doi.org/10.1088/1751-8121/ab6a32	journal	January 2020
Model of spin liquids with and without time-reversal symmetry Chen, Jyong-Hao; Mudry, Christopher; Chamon, Claudio Physical Review B, Vol. 99, Issue 18 https://doi.org/10.1103/physrevb.99.184445	journal	May 2019
From coupled wires to coupled layers: Model with three-dimensional fractional excitations Fuji, Yohei; Furusaki, Akira Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.241107	journal	June 2019
Coupled-wire constructions: a Luttinger liquid approach to topology Meng, Tobias The European Physical Journal Special Topics, Vol. 229, Issue 4 https://doi.org/10.1140/epjst/e2019-900095-5	journal	February 2020
Ground-state degeneracy of non-Abelian topological phases from coupled wires Iadecola, Thomas; Neupert, Titus; Chamon, Claudio American Physical Society https://doi.org/10.5167/uzh-172138	text	January 2019
Model of spin liquids with and without time-reversal symmetry Chen, Jyong-Hao; Mudry, Christopher; Chamon, Claudio arXiv https://doi.org/10.48550/arxiv.1810.09858	text	January 2018
Coupled-wire constructions: a Luttinger liquid approach to topology Meng, Tobias arXiv https://doi.org/10.48550/arxiv.1906.09771	text	January 2019

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