Strong planar subsystem symmetry-protected topological phases and their dual fracton orders

Devakul, Trithep and Shirley, Wilbur and Wang, Juven (2020) Strong planar subsystem symmetry-protected topological phases and their dual fracton orders. Physical Review Research, 2 (1). Art. No. 012059(R). ISSN 2643-1564. doi:10.1103/physrevresearch.2.012059. https://resolver.caltech.edu/CaltechAUTHORS:20200313-142322991

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Abstract

We classify subsystem symmetry-protected topological (SSPT) phases in 3 + 1 dimensions (3 + 1D) protected by planar subsystem symmetries: short-range entangled phases which are dual to long-range entangled Abelian fracton topological orders via a generalized “gauging” duality. We distinguish between weak SSPTs, which can be constructed by stacking 2 + 1D SPTs, and strong SSPTs, which cannot. We identify signatures of strong phases, and show by explicit construction that such phases exist. A classification of strong phases is presented for an arbitrary finite Abelian group. Finally, we show that fracton orders realizable via p-string condensation are dual to weak SSPTs, while those dual to strong SSPTs exhibit statistical interactions prohibiting such a realization.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1103/physrevresearch.2.012059	DOI	Article
https://arxiv.org/abs/1910.01630	arXiv	Discussion Paper

ORCID:

Author	ORCID
Devakul, Trithep	0000-0002-4129-897X
Wang, Juven	0000-0001-9396-9010

Additional Information:

© 2020 The Author(s). 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 28 November 2019; revised manuscript received 7 February 2020; accepted 10 February 2020; published 12 March 2020) T.D. thanks Fiona Burnell, Dominic Williamson, Abhinav Prem, and Shivaji Sondhi for many helpful discussions, especially in the early parts of this work. W.S. thanks Xie Chen and Sagar Vijay for helpful discussions. T.D. acknowledges support from the Charlotte Elizabeth Procter Fellowship at Princeton University. W.S. is supported by the National Science Foundation under Award No. DMR-1654340 and the Institute for Quantum Information and Matter at Caltech. J.W. was supported by NSF Grant No. PHY-1606531 and Institute for Advanced Study. This work is also supported by NSF Grant No. DMS-1607871 “Analysis, Geometry and Mathematical Physics” and the Center for Mathematical Sciences and Applications at Harvard University.

Group:

Institute for Quantum Information and Matter

Funders:

Funding Agency	Grant Number
Princeton University	UNSPECIFIED
NSF	DMR-1654340
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	DMS-1607871
Institute for Advanced Study	UNSPECIFIED
Harvard University	UNSPECIFIED

Issue or Number:

DOI:

10.1103/physrevresearch.2.012059

Record Number:

CaltechAUTHORS:20200313-142322991

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20200313-142322991

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

101910

Collection:

CaltechAUTHORS

Deposited By:

George Porter

Deposited On:

16 Mar 2020 14:28

Last Modified:

16 Nov 2021 18:07

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