Fracton topological order, generalized lattice gauge theory, and duality
Name
PhysRevB.94.235157.pdf
Size
1.23 MB
Format
Adobe PDF
Checksum (MD5)
a3e1996f627994b5ffe5640fe6a59097
Author(s)
Vijay, Sagar
Haah, Jeongwan
Fu, Liang
Date Issued
December 2016
Journal
Physical Review B
Publisher
American Physical Society
Citation
Vijay, Sagar, Jeongwan Haah, and Liang Fu. “Fracton Topological Order, Generalized Lattice Gauge Theory, and Duality.” Physical Review B 94.23 (2016): n. pag. © 2016 American Physical Society
Version
Final published version
Abstract
We introduce a generalization of conventional lattice gauge theory to describe fracton topological phases, which are characterized by immobile, pointlike topological excitations, and subextensive topological degeneracy. We demonstrate a duality between fracton topological order and interacting spin systems with symmetries along extensive, lower-dimensional subsystems, which may be used to systematically search for and characterize fracton topological phases. Commutative algebra and elementary algebraic geometry provide an effective mathematical tool set for our results. Our work paves the way for identifying possible material realizations of fracton topological phases.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.94.235157
