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Fractonic topological phases from coupled wires

Sullivan, Joseph and Dua, Arpit and Cheng, Meng (2021) Fractonic topological phases from coupled wires. Physical Review Research, 3 (2). Art. No. 023123. ISSN 2643-1564. doi:10.1103/physrevresearch.3.023123.

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In three dimensions, gapped phases can support “fractonic” quasiparticle excitations, which are either completely immobile or can only move within a low-dimensional submanifold, a peculiar topological phenomenon going beyond the conventional framework of topological quantum field theory. In this work we explore fractonic topological phases using three-dimensional coupled wire constructions, which have proven to be a successful tool to realize and characterize topological phases in two dimensions. We find that both gapped and gapless phases with fractonic excitations can emerge from the models. In the gapped case, we argue that fractonic excitations are mobile along the wire direction, but their mobility in the transverse plane is generally reduced. We show that the excitations in general have infinite-order fusion structure, distinct from previously known gapped fracton models. Like the two-dimensional coupled-wire constructions, many models exhibit gapless (or even chiral) surface states, which can be described by infinite-component Luttinger liquids. However, the universality class of the surface theory strongly depends on the surface orientation, thus revealing a different type of bulk-boundary correspondence unique to fracton phases.

Item Type:Article
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Sullivan, Joseph0000-0003-1893-850X
Alternate Title:Fracton topological phases from coupled wires
Additional Information:© 2021 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 11 December 2020; accepted 7 April 2021; published 17 May 2021. M.C. is grateful to X. Chen for inspiring discussions and collaboration on a related project, and K. Slagle for collaboration at the initial stage of this work. A.D. thanks D. J. Williamson for related discussions. J.S. would like to acknowledge discussions with T. Iadecola and D. J. Williamson on related work which proved helpful. J.S. thanks C. Harshaw for patient discussions about some very old results in linear algebra. M.C. is supported by NSF CAREER (Grant No. DMR-1846109) and the Alfred P. Sloan foundation, and thanks Aspen Center of Physics for hospitality and support under the NSF Grant No. PHY-1607611, where the work was initiated.
Group:Institute for Quantum Information and Matter
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Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20210518-102152394
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109174
Deposited By: Tony Diaz
Deposited On:19 May 2021 18:29
Last Modified:19 May 2021 18:29

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