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Title: Towards Classification of Fracton Phases: The Multipole Algebra

Journal Article · · Physical Review. X

Not Available

Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1559075
Journal Information:
Physical Review. X, Journal Name: Physical Review. X Journal Issue: 3 Vol. 9; ISSN PRXHAE; ISSN 2160-3308
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (69)

Spectral sum rules and magneto-roton as emergent graviton in fractional quantum Hall effect journal January 2016
Commuting Pauli Hamiltonians as Maps between Free Modules journal October 2013
Scalar Field Theories with Polynomial Shift Symmetries journal September 2015
Duality transformation for defect melting journal September 1982
Double gauge theory of stresses and defects journal August 1983
Dual model for dislocation and disclination melting journal July 1983
Candidate for the role of higher-spin symmetry journal July 1987
Topological order in an exactly solvable 3D spin model journal April 2011
Reduction of effective dimensionality in lattice models of superconducting arrays and frustrated magnets journal June 2005
Dual gauge field theory of quantum liquid crystals in two dimensions journal April 2017
Principles of Condensed Matter Physics book January 1995
Dimensional reduction at a quantum critical point journal June 2006
Density of states on fractals : « fractons » journal January 1982
Newtonian gravity and the Bargmann algebra journal April 2011
Local stabilizer codes in three dimensions without string logical operators journal April 2011
Symmetry-enforced fractonicity and two-dimensional quantum crystal melting journal July 2019
Fractional quantum Hall effect in a periodic potential journal September 1993
Theory of the quantum Hall Smectic Phase. I. Low-energy properties of the quantum Hall smectic fixed point journal June 2002
Quantum Hall smectics, sliding symmetry, and the renormalization group journal October 2004
Discrete sliding symmetries, dualities, and self-dualities of quantum orbital compass models and p + i p superconducting arrays journal May 2005
Fluctuating stripes in strongly correlated electron systems and the nematic-smectic quantum phase transition journal August 2008
Exotic topological order in fractal spin liquids journal September 2013
Field theory of the quantum Hall nematic transition journal September 2013
Low-energy effective theory in the bulk for transport in a topological phase journal March 2015
A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations journal December 2015
Fractal symmetries: Ungauging the cubic code journal October 2016
Fracton topological order, generalized lattice gauge theory, and duality journal December 2016
Subdimensional particle structure of higher rank U ( 1 ) spin liquids journal March 2017
Fracton topological order via coupled layers journal June 2017
Generalized electromagnetism of subdimensional particles: A spin liquid story journal July 2017
Higher-spin Witten effect and two-dimensional fracton phases journal September 2017
Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry journal November 2017
Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order journal December 2017
Correlation function diagnostics for type-I fracton phases journal January 2018
Emergent phases of fractonic matter journal February 2018
Topological entanglement entropy of fracton stabilizer codes journal March 2018
X-cube model on generic lattices: Fracton phases and geometric order journal April 2018
Fractional quantum Hall systems near nematicity: Bimetric theory, composite fermions, and Dirac brackets journal May 2018
Higgs mechanism in higher-rank symmetric U(1) gauge theories journal June 2018
Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory journal July 2018
Subsystem symmetry protected topological order journal July 2018
The fracton gauge principle journal September 2018
Pinch point singularities of tensor spin liquids journal October 2018
Braiding and gapped boundaries in fracton topological phases journal March 2019
Hyperbolic fracton model, subsystem symmetry, and holography journal April 2019
Classifying local fractal subsystem symmetry-protected topological phases journal June 2019
Galileon as a local modification of gravity journal March 2009
Emergent gravity at a Lifshitz point from a Bose liquid on the lattice journal May 2010
Multicritical symmetry breaking and naturalness of slow Nambu-Goldstone bosons journal November 2013
Spacetime symmetries of the quantum Hall effect journal February 2015
Emergent gravity of fractons: Mach’s principle revisited journal July 2017
Nonlinear elasticity of the sliding columnar phase journal November 1998
Geometrical Description of the Fractional Quantum Hall Effect journal September 2011
Thermal Hall Effect and Geometry with Torsion journal January 2015
Higher-Spin Theory of the Magnetorotons journal November 2016
Fracton-Elasticity Duality journal May 2018
Symmetry-Enriched Fracton Phases from Supersolid Duality journal December 2018
Chiral Topological Elasticity and Fracton Order journal February 2019
Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection journal January 2005
Theory of Nematic Fractional Quantum Hall States journal December 2014
Bimetric Theory of Fractional Quantum Hall States journal November 2017
Fracton Models on General Three-Dimensional Manifolds journal August 2018
Localization in Fractonic Random Circuits journal April 2019
Cage-Net Fracton Models journal April 2019
Goldstones with extended shift symmetries journal November 2014
Fractons journal March 2019
Fractal Symmetric Phases of Matter journal January 2019
Foliated fracton order from gauging subsystem symmetries journal January 2019
Foliated field theory and string-membrane-net condensation picture of fracton order journal January 2019

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