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Fractionalizing glide reflections in two-dimensional topologically ordered phases

Abstract:

We study the fractionalization of space group symmetries in two-dimensional topologically ordered phases. Specifically, we focus on Z2-fractionalized phases in two dimensions whose deconfined topological excitations transform trivially under translational symmetries but projectively under glide reflections, whose quantum numbers are hence fractionalized. We accomplish this by generalizing the dichotomy between even and odd gauge theories to incorporate additional symmetries inherent to nonsym...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1103/PhysRevB.94.125122

Authors


Hermele, M More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
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Grant:
DE-FG-02-10ER46686; DE-SC0014415
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Publication date:
2016-09-13
Acceptance date:
2016
DOI:
ISSN:
2469-9969 and 2469-9950
Pubs id:
pubs:725225
URN:
uri:245fb5d6-2364-42a2-9b61-aff005afebf8
UUID:
uuid:245fb5d6-2364-42a2-9b61-aff005afebf8
Local pid:
pubs:725225
Keywords:

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