Odd fracton theories, proximate orders, and parton constructions

Pretko, Michael; Parameswaran, S. A.; Hermele, Michael

doi:10.1103/physrevb.102.205106

Odd fracton theories, proximate orders, and parton constructions

Journal Article · Fri Nov 06 00:00:00 EST 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.205106· OSTI ID:1762129

^[1]; ^[2]; Hermele, Michael ^[3]

Univ. of Colorado, Boulder, CO (United States); University of Colorado Boulder
Clarendon Lab., Oxford (United Kingdom)
Univ. of Colorado, Boulder, CO (United States)

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 parton constructions, we demonstrate that “odd” versions of X-cube fracton order can occur in systems at half-odd-integer filling, generalizing the notion of odd Z₂ gauge theory to the fracton setting. At half-odd-integer filling, exiting the X-cube phase by condensing fractional quasiparticles leads to symmetry breaking, thereby allowing us to identify a class of conventionally ordered phases proximate to phases with fracton order. We leverage a dual description of one of these ordered phases to show that its topological defects naturally have restricted mobility. In conclusion, condensing pairs of these defects then leads to a fracton phase, whose excitations inherit these mobility restrictions.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: European Research Council (ERC); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0014415

OSTI ID:: 1762129

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 20 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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