Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory

Ma, Han; Hermele, Michael; Chen, Xie

doi:10.1103/PhysRevB.98.035111

Title: Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory

Authors:: Ma, Han; Hermele, Michael; Chen, Xie

Publication Date:: 2018-07-10

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1459689

Grant/Contract Number:: SC0014415

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 98 Journal Issue: 3; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Ma, Han, Hermele, Michael, and Chen, Xie. Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevB.98.035111.

Copy to clipboard


                    Ma, Han, Hermele, Michael, & Chen, Xie. Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory.  United States.  https://doi.org/10.1103/PhysRevB.98.035111

Copy to clipboard


                    Ma, Han, Hermele, Michael, and Chen, Xie. Tue .  
"Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory".  United States.  https://doi.org/10.1103/PhysRevB.98.035111.

Copy to clipboard


                    
@article{osti_1459689,

  title        = {Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory},

  author       = {Ma, Han and Hermele, Michael and Chen, Xie},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.98.035111},

  journal      = {Physical Review B},

  number       = 3,

  volume       = 98,

  place        = {United States},

  year         = {2018},

  month        = {7}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.98.035111

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 11 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry
journal, November 2017

Slagle, Kevin; Kim, Yong Baek
Physical Review B, Vol. 96, Issue 19
DOI: 10.1103/PhysRevB.96.195139

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations
journal, December 2015

Vijay, Sagar; Haah, Jeongwan; Fu, Liang
Physical Review B, Vol. 92, Issue 23
DOI: 10.1103/PhysRevB.92.235136

Deciphering the nonlocal entanglement entropy of fracton topological orders
journal, April 2018

Shi, Bowen; Lu, Yuan-Ming
Physical Review B, Vol. 97, Issue 14
DOI: 10.1103/PhysRevB.97.144106

Fracton topological order from nearest-neighbor two-spin interactions and dualities
journal, October 2017

Slagle, Kevin; Kim, Yong Baek
Physical Review B, Vol. 96, Issue 16
DOI: 10.1103/PhysRevB.96.165106

Fractons from partons
journal, October 2017

Hsieh, Timothy H.; Halász, Gábor B.
Physical Review B, Vol. 96, Issue 16
DOI: 10.1103/PhysRevB.96.165105

Fracton topological order, generalized lattice gauge theory, and duality
journal, December 2016

Vijay, Sagar; Haah, Jeongwan; Fu, Liang
Physical Review B, Vol. 94, Issue 23
DOI: 10.1103/PhysRevB.94.235157

Topological entanglement entropy of fracton stabilizer codes
journal, March 2018

Ma, Han; Schmitz, A. T.; Parameswaran, S. A.
Physical Review B, Vol. 97, Issue 12
DOI: 10.1103/PhysRevB.97.125101

Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection
journal, January 2005

Chamon, Claudio
Physical Review Letters, Vol. 94, Issue 4
DOI: 10.1103/PhysRevLett.94.040402

X-cube model on generic lattices: Fracton phases and geometric order
journal, April 2018

Slagle, Kevin; Kim, Yong Baek
Physical Review B, Vol. 97, Issue 16
DOI: 10.1103/PhysRevB.97.165106

Entanglement entropy from tensor network states for stabilizer codes
journal, March 2018

He, Huan; Zheng, Yunqin; Bernevig, B. Andrei
Physical Review B, Vol. 97, Issue 12
DOI: 10.1103/PhysRevB.97.125102

Higgs mechanism in higher-rank symmetric U(1) gauge theories
journal, June 2018

Bulmash, Daniel; Barkeshli, Maissam
Physical Review B, Vol. 97, Issue 23
DOI: 10.1103/PhysRevB.97.235112

Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons
journal, December 2006

Xu, Cenke
Physical Review B, Vol. 74, Issue 22
DOI: 10.1103/PhysRevB.74.224433

Glassy quantum dynamics in translation invariant fracton models
journal, April 2017

Prem, Abhinav; Haah, Jeongwan; Nandkishore, Rahul
Physical Review B, Vol. 95, Issue 15
DOI: 10.1103/PhysRevB.95.155133

Phase diagrams of lattice gauge theories with Higgs fields
journal, June 1979

Fradkin, Eduardo; Shenker, Stephen H.
Physical Review D, Vol. 19, Issue 12
DOI: 10.1103/PhysRevD.19.3682

Subdimensional particle structure of higher rank $U (1)$ spin liquids
journal, March 2017

Pretko, Michael
Physical Review B, Vol. 95, Issue 11
DOI: 10.1103/PhysRevB.95.115139

Fracton Topological Phases from Strongly Coupled Spin Chains
journal, December 2017

Halász, Gábor B.; Hsieh, Timothy H.; Balents, Leon
Physical Review Letters, Vol. 119, Issue 25
DOI: 10.1103/PhysRevLett.119.257202

Emergent phases of fractonic matter
journal, February 2018

Prem, Abhinav; Pretko, Michael; Nandkishore, Rahul M.
Physical Review B, Vol. 97, Issue 8
DOI: 10.1103/PhysRevB.97.085116

Resonating singlet valence plaquettes
journal, September 2007

Pankov, S.; Moessner, R.; Sondhi, S. L.
Physical Review B, Vol. 76, Issue 10
DOI: 10.1103/PhysRevB.76.104436

Local stabilizer codes in three dimensions without string logical operators
journal, April 2011

Haah, Jeongwan
Physical Review A, Vol. 83, Issue 4
DOI: 10.1103/PhysRevA.83.042330

Emergent gravity at a Lifshitz point from a Bose liquid on the lattice
journal, May 2010

Xu, Cenke; Hořava, Petr
Physical Review D, Vol. 81, Issue 10
DOI: 10.1103/PhysRevD.81.104033

Fracton-Elasticity Duality
journal, May 2018

Pretko, Michael; Radzihovsky, Leo
Physical Review Letters, Vol. 120, Issue 19
DOI: 10.1103/PhysRevLett.120.195301

Fault-tolerant quantum computation by anyons
journal, January 2003

Kitaev, A. Yu.
Annals of Physics, Vol. 303, Issue 1
DOI: 10.1016/S0003-4916(02)00018-0

Generalized electromagnetism of subdimensional particles: A spin liquid story
journal, July 2017

Pretko, Michael
Physical Review B, Vol. 96, Issue 3
DOI: 10.1103/PhysRevB.96.035119

Quantum Self-Correction in the 3D Cubic Code Model
journal, November 2013

Bravyi, Sergey; Haah, Jeongwan
Physical Review Letters, Vol. 111, Issue 20
DOI: 10.1103/PhysRevLett.111.200501

Recoverable information and emergent conservation laws in fracton stabilizer codes
journal, April 2018

Schmitz, A. T.; Ma, Han; Nandkishore, Rahul M.
Physical Review B, Vol. 97, Issue 13
DOI: 10.1103/PhysRevB.97.134426

Topological order in an exactly solvable 3D spin model
journal, April 2011

Bravyi, Sergey; Leemhuis, Bernhard; Terhal, Barbara M.
Annals of Physics, Vol. 326, Issue 4
DOI: 10.1016/j.aop.2010.11.002

Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order
journal, December 2017

Petrova, O.; Regnault, N.
Physical Review B, Vol. 96, Issue 22
DOI: 10.1103/PhysRevB.96.224429

Exotic topological order in fractal spin liquids
journal, September 2013

Yoshida, Beni
Physical Review B, Vol. 88, Issue 12
DOI: 10.1103/PhysRevB.88.125122

Resonating plaquette phases in SU(4) Heisenberg antiferromagnet
journal, April 2008

Xu, Cenke; Wu, Congjun
Physical Review B, Vol. 77, Issue 13
DOI: 10.1103/PhysRevB.77.134449

Fracton topological order via coupled layers
journal, June 2017

Ma, Han; Lake, Ethan; Chen, Xie
Physical Review B, Vol. 95, Issue 24
DOI: 10.1103/PhysRevB.95.245126

Emergent gravity of fractons: Mach’s principle revisited
journal, July 2017

Pretko, Michael
Physical Review D, Vol. 96, Issue 2
DOI: 10.1103/PhysRevD.96.024051

Finite-temperature screening of $U$ (1) fractons
journal, September 2017

Pretko, Michael
Physical Review B, Vol. 96, Issue 11
DOI: 10.1103/PhysRevB.96.115102

Similar Records in DOE PAGES and OSTI.GOV collections:

Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory

Journal Article Ma, Han ; Hermele, Michael ; Chen, Xie - Physical Review B

Not provided.
https://doi.org/10.1103/physrevb.98.035111
Fractons from Vector Gauge Theory

Journal Article Radzihovsky, Leo ; Hermele, Michael - Physical Review Letters

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 condensationmore »« less
https://doi.org/10.1103/physrevlett.124.050402

Full Text Available
Fracton topological order via coupled layers

Journal Article Ma, Han ; Lake, Ethan ; Chen, Xie ; ... - Physical Review B

Not provided.
https://doi.org/10.1103/physrevb.95.245126
Fracton topological order via coupled layers

Journal Article Ma, Han ; Lake, Ethan ; Chen, Xie ; ... - Physical Review B
Cited by 29
https://doi.org/10.1103/PhysRevB.95.245126
Odd fracton theories, proximate orders, and parton constructions

Journal Article Pretko, Michael ; Parameswaran, S. A. ; Hermele, Michael - Physical Review B

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.more »« less
https://doi.org/10.1103/physrevb.102.205106

Full Text Available

Similar Records

Title: Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory

Citation Formats

Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry journal, November 2017

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations journal, December 2015

Deciphering the nonlocal entanglement entropy of fracton topological orders journal, April 2018

Fracton topological order from nearest-neighbor two-spin interactions and dualities journal, October 2017

Fractons from partons journal, October 2017

Fracton topological order, generalized lattice gauge theory, and duality journal, December 2016

Topological entanglement entropy of fracton stabilizer codes journal, March 2018

Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection journal, January 2005

X-cube model on generic lattices: Fracton phases and geometric order journal, April 2018

Entanglement entropy from tensor network states for stabilizer codes journal, March 2018

Higgs mechanism in higher-rank symmetric U(1) gauge theories journal, June 2018

Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons journal, December 2006

Glassy quantum dynamics in translation invariant fracton models journal, April 2017

Phase diagrams of lattice gauge theories with Higgs fields journal, June 1979

Subdimensional particle structure of higher rank U ( 1 ) spin liquids journal, March 2017

Fracton Topological Phases from Strongly Coupled Spin Chains journal, December 2017

Emergent phases of fractonic matter journal, February 2018

Resonating singlet valence plaquettes journal, September 2007

Local stabilizer codes in three dimensions without string logical operators journal, April 2011

Emergent gravity at a Lifshitz point from a Bose liquid on the lattice journal, May 2010

Fracton-Elasticity Duality journal, May 2018

Fault-tolerant quantum computation by anyons journal, January 2003

Generalized electromagnetism of subdimensional particles: A spin liquid story journal, July 2017

Quantum Self-Correction in the 3D Cubic Code Model journal, November 2013

Recoverable information and emergent conservation laws in fracton stabilizer codes journal, April 2018

Topological order in an exactly solvable 3D spin model journal, April 2011

Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order journal, December 2017

Exotic topological order in fractal spin liquids journal, September 2013

Resonating plaquette phases in SU(4) Heisenberg antiferromagnet journal, April 2008

Fracton topological order via coupled layers journal, June 2017

Emergent gravity of fractons: Mach’s principle revisited journal, July 2017

Finite-temperature screening of U (1) fractons journal, September 2017

Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry
journal, November 2017

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations
journal, December 2015

Deciphering the nonlocal entanglement entropy of fracton topological orders
journal, April 2018

Fracton topological order from nearest-neighbor two-spin interactions and dualities
journal, October 2017

Fractons from partons
journal, October 2017

Fracton topological order, generalized lattice gauge theory, and duality
journal, December 2016

Topological entanglement entropy of fracton stabilizer codes
journal, March 2018

Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection
journal, January 2005

X-cube model on generic lattices: Fracton phases and geometric order
journal, April 2018

Entanglement entropy from tensor network states for stabilizer codes
journal, March 2018

Higgs mechanism in higher-rank symmetric U(1) gauge theories
journal, June 2018

Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons
journal, December 2006

Glassy quantum dynamics in translation invariant fracton models
journal, April 2017

Phase diagrams of lattice gauge theories with Higgs fields
journal, June 1979

Subdimensional particle structure of higher rank $U (1)$ spin liquids
journal, March 2017

Fracton Topological Phases from Strongly Coupled Spin Chains
journal, December 2017

Emergent phases of fractonic matter
journal, February 2018

Resonating singlet valence plaquettes
journal, September 2007

Local stabilizer codes in three dimensions without string logical operators
journal, April 2011

Emergent gravity at a Lifshitz point from a Bose liquid on the lattice
journal, May 2010

Fracton-Elasticity Duality
journal, May 2018

Fault-tolerant quantum computation by anyons
journal, January 2003

Generalized electromagnetism of subdimensional particles: A spin liquid story
journal, July 2017

Quantum Self-Correction in the 3D Cubic Code Model
journal, November 2013

Recoverable information and emergent conservation laws in fracton stabilizer codes
journal, April 2018

Topological order in an exactly solvable 3D spin model
journal, April 2011

Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order
journal, December 2017

Exotic topological order in fractal spin liquids
journal, September 2013

Resonating plaquette phases in SU(4) Heisenberg antiferromagnet
journal, April 2008

Fracton topological order via coupled layers
journal, June 2017

Emergent gravity of fractons: Mach’s principle revisited
journal, July 2017

Finite-temperature screening of $U$ (1) fractons
journal, September 2017