Fractons from Vector Gauge Theory

Radzihovsky, Leo; Hermele, Michael

doi:10.1103/physrevlett.124.050402

Fractons from Vector Gauge Theory

Journal Article · Fri Feb 07 00:00:00 EST 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.124.050402· OSTI ID:1671769

Radzihovsky, Leo ^[1]; Hermele, Michael ^[2]

Univ. of Colorado, Boulder, CO (United States). Dept. of Physics and Center for Theory of Quantum Matter; University of Colorado Boulder
Univ. of Colorado, Boulder, CO (United States). Dept. of Physics and Center for Theory of Quantum Matter

Motivated by the prediction of fractonic topological defects in a quantum crystal, we utilize a reformulated elasticity duality to derive a description of a fracton phase in terms of coupled vector U(1) gauge theories. The fracton order and restricted mobility emerge as a result of an unusual Gauss law where electric field lines of one gauge field act as sources of charge for others. At low energies this vector gauge theory reduces to the previously studied fractonic symmetric tensor gauge theory. Here, we construct the corresponding lattice model and a number of generalizations, which realize fracton phases via a condensation of stringlike excitations built out of charged particles, analogous to the p-string condensation mechanism of the gapped X-cube fracton phase.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0014415

OSTI ID:: 1671769

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 124; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (18)

Quark confinement and topology of gauge theories Polyakov, A. M. Nuclear Physics B, Vol. 120, Issue 3 https://doi.org/10.1016/0550-3213(77)90086-4	journal	March 1977
Topological order in an exactly solvable 3D spin model Bravyi, Sergey; Leemhuis, Bernhard; Terhal, Barbara M. Annals of Physics, Vol. 326, Issue 4 https://doi.org/10.1016/j.aop.2010.11.002	journal	April 2011
Local stabilizer codes in three dimensions without string logical operators Haah, Jeongwan Physical Review A, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevA.83.042330	journal	April 2011
Fractonic matter in symmetry-enriched U ( 1 ) gauge theory Williamson, Dominic J.; Bi, Zhen; Cheng, Meng Physical Review B, Vol. 100, Issue 12 https://doi.org/10.1103/PhysRevB.100.125150	journal	September 2019
Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field Fisher, Matthew P. A.; Lee, D. H. Physical Review B, Vol. 39, Issue 4 https://doi.org/10.1103/PhysRevB.39.2756	journal	February 1989
A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations Vijay, Sagar; Haah, Jeongwan; Fu, Liang Physical Review B, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevB.92.235136	journal	December 2015
Fracton topological order, generalized lattice gauge theory, and duality Vijay, Sagar; Haah, Jeongwan; Fu, Liang Physical Review B, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevB.94.235157	journal	December 2016
Subdimensional particle structure of higher rank U ( 1 ) spin liquids Pretko, Michael Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevB.95.115139	journal	March 2017
Fracton topological order via coupled layers Ma, Han; Lake, Ethan; Chen, Xie Physical Review B, Vol. 95, Issue 24 https://doi.org/10.1103/PhysRevB.95.245126	journal	June 2017
Fracton topological order from nearest-neighbor two-spin interactions and dualities Slagle, Kevin; Kim, Yong Baek Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevB.96.165106	journal	October 2017
Higgs mechanism in higher-rank symmetric U(1) gauge theories Bulmash, Daniel; Barkeshli, Maissam Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/PhysRevB.97.235112	journal	June 2018
Fracton-Elasticity Duality Pretko, Michael; Radzihovsky, Leo Physical Review Letters, Vol. 120, Issue 19 https://doi.org/10.1103/PhysRevLett.120.195301	journal	May 2018
Symmetry-Enriched Fracton Phases from Supersolid Duality Pretko, Michael; Radzihovsky, Leo Physical Review Letters, Vol. 121, Issue 23 https://doi.org/10.1103/PhysRevLett.121.235301	journal	December 2018
Phase Transition in a Lattice Model of Superconductivity Dasgupta, C.; Halperin, B. I. Physical Review Letters, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevLett.47.1556	journal	November 1981
Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection Chamon, Claudio Physical Review Letters, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevLett.94.040402	journal	January 2005
Fractons Nandkishore, Rahul M.; Hermele, Michael Annual Review of Condensed Matter Physics, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031218-013604	journal	March 2019
A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations Vijay, Sagar; Haah, Jeongwan; Fu, Liang arXiv https://doi.org/10.48550/arxiv.1505.02576	text	January 2015
Symmetry Enriched Fracton Phases from Supersolid Duality Pretko, Michael; Radzihovsky, Leo arXiv https://doi.org/10.48550/arxiv.1808.05616	text	January 2018

Cited By (6)

Fracton phases via exotic higher-form symmetry-breaking Qi, Marvin; Radzihovsky, Leo; Hermele, Michael Annals of Physics, Vol. 424 https://doi.org/10.1016/j.aop.2020.168360	journal	January 2021
Fractonic gauge theory of smectics Zhai, Zhengzheng; Radzihovsky, Leo Annals of Physics, Vol. 435 https://doi.org/10.1016/j.aop.2021.168509	journal	December 2021
Quantum robustness of fracton phases Mühlhauser, M.; Walther, M. R.; Reiss, D. A. arXiv https://doi.org/10.48550/arxiv.1911.13117	text	January 2019
Fracton hydrodynamics Gromov, Andrey; Lucas, Andrew; Nandkishore, Rahul M. arXiv https://doi.org/10.48550/arxiv.2003.09429	text	January 2020
Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting Nguyen, Dung Xuan; Gromov, Andrey; Moroz, Sergej arXiv https://doi.org/10.48550/arxiv.2005.12317	text	January 2020
Fractonic superfluids. (II). Condensing subdimensional particles Chen, Shuai A.; Yuan, Jian-Keng; Ye, Peng arXiv https://doi.org/10.48550/arxiv.2010.03261	text	January 2020

Similar Records

Fracton phases via exotic higher-form symmetry-breaking

Journal Article · Wed Nov 25 19:00:00 EST 2020 · Annals of Physics · OSTI ID:1762131

Fracton fusion and statistics

Journal Article · Thu Nov 21 19:00:00 EST 2019 · Physical Review. B · OSTI ID:1671771

Odd fracton theories, proximate orders, and parton constructions

Journal Article · Thu Nov 05 19:00:00 EST 2020 · Physical Review. B · OSTI ID:1762129

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Fractons from Vector Gauge Theory

Citation Formats

References (18)

Cited By (6)

Similar Records

Related Subjects