Ground-state degeneracy of non-Abelian topological phases from coupled wires
Abstract
We construct a family of two-dimensional non-Abelian topological phases from coupled wires using a non-Abelian bosonization approach. We then demonstrate how to determine the nature of the non-Abelian topological order (in particular, the anyonic excitations and the topological degeneracy on the torus) realized in the resulting gapped phases of matter. This paper focuses on the detailed case study of a coupled-wire realization of the bosonic su(2)2 Moore-Read state, but the approach we outline here can be extended to general bosonic su(2)k topological phases described by non-Abelian Chern-Simons theories. Lastly, we also discuss possible generalizations of this approach to the construction of three-dimensional non-Abelian topological phases.
- Authors:
-
- Boston Univ., MA (United States); Univ. of California, Santa Barbara, CA (United States); Univ. of Maryland, College Park, MD (United States)
- Univ. of Zurich (Switzerland)
- Boston Univ., MA (United States)
- Paul Scherrer Inst. (PSI), Villigen (Switzerland)
- Publication Date:
- Research Org.:
- Boston Univ., MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1609750
- Alternate Identifier(s):
- OSTI ID: 1546305
- Grant/Contract Number:
- FG02-06ER46316
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 24; 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; materials science; physics; toplogical insulators; topological phases in many body systems; topological phases of matter; quantum wires; bosonization; conformal field theory; non-Abelian models; non-Fermi-liquid theory; T-symmetry
Citation Formats
Iadecola, Thomas, Neupert, Titus, Chamon, Claudio, and Mudry, Christopher. Ground-state degeneracy of non-Abelian topological phases from coupled wires. United States: N. p., 2019.
Web. doi:10.1103/physrevb.99.245138.
Iadecola, Thomas, Neupert, Titus, Chamon, Claudio, & Mudry, Christopher. Ground-state degeneracy of non-Abelian topological phases from coupled wires. United States. https://doi.org/10.1103/physrevb.99.245138
Iadecola, Thomas, Neupert, Titus, Chamon, Claudio, and Mudry, Christopher. Thu .
"Ground-state degeneracy of non-Abelian topological phases from coupled wires". United States. https://doi.org/10.1103/physrevb.99.245138. https://www.osti.gov/servlets/purl/1609750.
@article{osti_1609750,
title = {Ground-state degeneracy of non-Abelian topological phases from coupled wires},
author = {Iadecola, Thomas and Neupert, Titus and Chamon, Claudio and Mudry, Christopher},
abstractNote = {We construct a family of two-dimensional non-Abelian topological phases from coupled wires using a non-Abelian bosonization approach. We then demonstrate how to determine the nature of the non-Abelian topological order (in particular, the anyonic excitations and the topological degeneracy on the torus) realized in the resulting gapped phases of matter. This paper focuses on the detailed case study of a coupled-wire realization of the bosonic su(2)2 Moore-Read state, but the approach we outline here can be extended to general bosonic su(2)k topological phases described by non-Abelian Chern-Simons theories. Lastly, we also discuss possible generalizations of this approach to the construction of three-dimensional non-Abelian topological phases.},
doi = {10.1103/physrevb.99.245138},
journal = {Physical Review B},
number = 24,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}
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Figures / Tables:
FIG. 1: Schematic of the coupled-wire construction for $su(2)_k$ non-Abelian topological orders in two spatial dimensions. Grey ovals represent quantum wires, while red and blue circles represent chiral $su(2)_k$ currents.
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Works referencing / citing this record:
Coupled-wire constructions: a Luttinger liquid approach to topology
journal, February 2020
- Meng, Tobias
- The European Physical Journal Special Topics, Vol. 229, Issue 4
Coupled-wire constructions: a Luttinger liquid approach to topology
text, January 2019
- Meng, Tobias
- arXiv
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