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Odd fracton theories, proximate orders, and parton constructions

Abstract:

The Lieb-Schultz-Mattis (LSM) theorem implies that gapped phases of matter must satisfy nontrivial conditions on their low-energy properties when a combination of lattice translation and U ( 1 ) symmetry are imposed. We describe a framework to characterize the action of symmetry on fractons and other subdimensional fractional excitations, and use this together with the LSM theorem to establish that X-cube fracton order can occur only at integer or half-odd-integer filling. Using explicit pa...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.102.205106

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Hertford College
Role:
Author
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
102
Issue:
20
Pages:
205106
Publication date:
2020-11-06
Acceptance date:
2020-10-23
DOI:
EISSN:
2469-9969
ISSN:
2469-9950
Language:
English
Keywords:
Pubs id:
1138076
Local pid:
pubs:1138076
Deposit date:
2020-10-24

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