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Toric-code insulator enriched by translation symmetry
Journal article   Open access   Peer reviewed

Toric-code insulator enriched by translation symmetry

PHYSICAL REVIEW B, v 105(4), 45106
04 Jan 2022
DOI: https://doi.org/10.1103/PhysRevB.105.045106
url
https://arxiv.org/pdf/2107.04030View
Submitted Open arXiv.org - Non-exclusive license to distribute

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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8 citations in Web of Science
7 citations in Scopus

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Collaboration types
Domestic collaboration
Web of Science research areas
Materials Science, Multidisciplinary
Physics, Applied
Physics, Condensed Matter
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