Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Translation symmetry-enriched toric code insulator   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.

25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org