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Journal article
Toric-code insulator enriched by translation symmetry
PHYSICAL REVIEW B, v 105(4), 45106
04 Jan 2022
Abstract
We introduce a two-dimensional electronic insulator that possesses a toric-code topological order enriched by translation symmetry. This state can be realized from disordering a weak topological superconductor by double-vortex condensation. It is termed the toric-code insulator, whose anyonic excitations consist of a charge-e chargon, a neutral fermion, and two types of visons. There are two types of visons because they have constrained motion as a consequence of the fractional Josephson effect of one-dimensional topological superconductor. Importantly, these two types of visons are related by a discrete translation symmetry and have a mutual semionic braiding statistics, leading to a symmetry enrichment akin to the type in Wen's plaquette model and Kitaev's honeycomb model. We construct this state using a three-fluid coupled-wire model, and analyze the anyon spectrum and braiding statistics in detail to unveil the nature of symmetry enrichment due to translation. We also discuss potential material realizations and present a band-theoretic understanding of the state, fitting it into a general framework for studying fractionalizaton in strongly interacting weak topological phases.
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Details
- Title
- Toric-code insulator enriched by translation symmetry
- Publication Details
- PHYSICAL REVIEW B, v 105(4), 45106
- Publisher
- AMER PHYSICAL SOC; COLLEGE PK
- Grant note
- This work is in part supported by the Croucher Scholarship for Doctoral Study from the Croucher Foundation (P.M.T.) and a Simons Investigator grant from the Simons Foundation (C.L.K.) .
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Drexel University
- Web of Science ID
- WOS:000740855100006
- Scopus ID
- 2-s2.0-85122618574
- Other Identifier
- 991021861310004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Materials Science, Multidisciplinary
- Physics, Applied
- Physics, Condensed Matter