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|a Vijay, Sagar
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|a Massachusetts Institute of Technology. Department of Physics
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|a Vijay, Sagar
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|a Haah, Jeongwan
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|a Fu, Liang
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|a Haah, Jeongwan
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|a Fu, Liang
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|a Fracton topological order, generalized lattice gauge theory, and duality
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|b American Physical Society,
|c 2017-01-09T19:55:18Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/106302
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|a 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.
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|a David & Lucile Packard Foundation
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|a MIT Department of Physics Pappalardo Program
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|a en
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|a Article
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|t Physical Review B
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