Model of chiral spin liquids with Abelian and nonAbelian topological phases
Abstract
In this article, we present a twodimensional lattice model for quantum spin1/2 for which the lowenergy limit is governed by four flavors of strongly interacting Majorana fermions. We study this lowenergy effective theory using two alternative approaches. The first consists of a meanfield approximation. The second consists of a random phase approximation (RPA) for the singleparticle Green's functions of the Majorana fermions built from their exact forms in a certain onedimensional limit. The resulting phase diagram consists of two competing chiral phases, one with Abelian and the other with nonAbelian topological order, separated by a continuous phase transition. Remarkably, the Majorana fermions propagate in the twodimensional 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.
 Authors:
 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
 Publication Date:
 Research Org.:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22). Materials Sciences & Engineering Division; Swiss National Science Foundation (SNSF); Boston Univ., MA (United States)
 OSTI Identifier:
 1413563
 Grant/Contract Number:
 SC0012704; 2000021 153648; FG0206ER46316; AC0298CH10886
 Resource Type:
 Journal Article: Publisher's Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 22; Related Information: CHORUS Timestamp: 20171215 10:31:21; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum spin liquid; topological phases of matter; bosonization; conformal field theory; Green's function methods; GrossNeveu model; NonAbelian models; spin lattice models
Citation Formats
Chen, JyongHao, Mudry, Christopher, Chamon, Claudio, and Tsvelik, A. M. Model of chiral spin liquids with Abelian and nonAbelian topological phases. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.224420.
Chen, JyongHao, Mudry, Christopher, Chamon, Claudio, & Tsvelik, A. M. Model of chiral spin liquids with Abelian and nonAbelian topological phases. United States. doi:10.1103/PhysRevB.96.224420.
Chen, JyongHao, Mudry, Christopher, Chamon, Claudio, and Tsvelik, A. M. 2017.
"Model of chiral spin liquids with Abelian and nonAbelian topological phases". United States.
doi:10.1103/PhysRevB.96.224420.
@article{osti_1413563,
title = {Model of chiral spin liquids with Abelian and nonAbelian topological phases},
author = {Chen, JyongHao and Mudry, Christopher and Chamon, Claudio and Tsvelik, A. M.},
abstractNote = {In this article, we present a twodimensional lattice model for quantum spin1/2 for which the lowenergy limit is governed by four flavors of strongly interacting Majorana fermions. We study this lowenergy effective theory using two alternative approaches. The first consists of a meanfield approximation. The second consists of a random phase approximation (RPA) for the singleparticle Green's functions of the Majorana fermions built from their exact forms in a certain onedimensional limit. The resulting phase diagram consists of two competing chiral phases, one with Abelian and the other with nonAbelian topological order, separated by a continuous phase transition. Remarkably, the Majorana fermions propagate in the twodimensional 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.},
doi = {10.1103/PhysRevB.96.224420},
journal = {Physical Review B},
number = 22,
volume = 96,
place = {United States},
year = 2017,
month =
}

In this article, we present a twodimensional lattice model for quantum spin1/2 for which the lowenergy limit is governed by four flavors of strongly interacting Majorana fermions. We study this lowenergy effective theory using two alternative approaches. The first consists of a meanfield approximation. The second consists of a random phase approximation (RPA) for the singleparticle Green's functions of the Majorana fermions built from their exact forms in a certain onedimensional limit. The resulting phase diagram consists of two competing chiral phases, one with Abelian and the other with nonAbelian topological order, separated by a continuous phase transition. Remarkably, themore »

Model of chiral spin liquids with Abelian and nonAbelian topological phases
In this article, we present a twodimensional lattice model for quantum spin1/2 for which the lowenergy limit is governed by four flavors of strongly interacting Majorana fermions. We study this lowenergy effective theory using two alternative approaches. The first consists of a meanfield approximation. The second consists of a random phase approximation (RPA) for the singleparticle Green's functions of the Majorana fermions built from their exact forms in a certain onedimensional limit. The resulting phase diagram consists of two competing chiral phases, one with Abelian and the other with nonAbelian topological order, separated by a continuous phase transition. Remarkably, themore »