Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory

Abstract

In this work we explore the interplay between global symmetry and the mobility of quasiparticle excitations. We show that fractonic matter naturally appears in a three dimensional U(1) gauge theory, enriched by global U(1) and translational symmetries, via the mechanism of anyonic spin-orbital coupling. We develop a systematic understanding of such symmetry-enforced mobility restrictions in terms of the classification of U(1) gauge theories enriched by U(1) and translational symmetries. We provide a unified construction of these phases by gauging layered symmetry-protected topological phases.

arXiv comment13 pages, 3 figures; v2 published version

References in corpus (79)

• Fault-tolerant quantum computation by anyons
• Generalized Global Symmetries
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Local stabilizer codes in three dimensions without string logical operators
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Quantum Glassiness
• Fractons
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Quantum Excitations in Quantum Spin Ice
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• A symmetry principle for Topological Quantum Order
• Analytic and numerical demonstration of quantum self-correction in the 3D Cubic Code
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
• Exotic topological order in fractal spin liquids
• Fracton-Elasticity Duality
• Classification of interacting electronic topological insulators in three dimensions
• Topological order in an exactly solvable 3D spin model
• Integer quantum Hall effect for bosons: A physical realization
• The Fracton Gauge Principle
• Translational symmetry and microscopic constraints on symmetry-enriched topological phases: a view from the surface
• Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry
• Glassy quantum dynamics in translation invariant fracton models
• Subsystem symmetry protected topological order
• Fracton Models on General Three-Dimensional Manifolds
• Fracton topological order via coupled layers
• Quantum Ice : a quantum Monte Carlo study
• Fractal symmetries: Ungauging the cubic code
• Foliated fracton order from gauging subsystem symmetries
• The Higgs Mechanism in Higher-Rank Symmetric $U(1)$ Gauge Theories
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Bosonic topological insulator in three dimensions and the statistical Witten effect
• Fracton topological order from Higgs and partial confinement mechanisms of rank-two gauge theory
• Emergent Gravity of Fractons: Mach's Principle Revisited
• Anomalous Symmetry Fractionalization and Surface Topological Order
• Chiral Topological Elasticity and Fracton Order
• Gauging quantum states: from global to local symmetries in many-body systems
• Symmetry fractionalization and twist defects
• Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
• Topological Quantum Glassiness
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Emergent Phases of Fractonic Matter
• Fracton topological phases from strongly coupled spin chains
• Topological Entanglement Entropy of Fracton Stabilizer Codes
• Fractional excitations in foliated fracton phases
• Fractal Symmetric Phases of Matter
• Commuting Pauli Hamiltonians as maps between free modules
• X-Cube Fracton Model on Generic Lattices: Phases and Geometric Order
• Classification of subsystem symmetry-protected topological phases
• On the energy landscape of 3D spin Hamiltonians with topological order
• Quantum mechanical and information theoretic view on classical glass transitions
• Twisted Fracton Models in Three Dimensions
• Cage-Net Fracton Models
• Spurious topological entanglement entropy from subsystem symmetries
• Fractons from Partons
• Correlation function diagnostics for type-I fracton phases
• Entanglement Entropy From Tensor Network States for Stabilizer Codes
• Symmetric Tensor Gauge Theories on Curved Spaces
• Universal quantum computation using fractal symmetry-protected cluster phases
• Symmetry Enriched Fracton Phases from Supersolid Duality
• Matrix product operators for symmetry-protected topological phases: Gauging and edge theories
• Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
• Deciphering the nonlocal entanglement entropy of fracton topological orders
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Bifurcation in entanglement renormalization group flow of a gapped spin model
• Universal entanglement signatures of foliated fracton phases
• Localization from superselection rules in translation invariant systems
• Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models
• Foliated fracton order in the checkerboard model
• Symmetry enforced fractonicity and $2d$ quantum crystal melting
• Algebraic Methods for Quantum Codes on Lattices
• Higher Rank Deconfined Quantum Criticality at the Lifshitz Transition and the Exciton Bose Condensate
• Finite-Temperature Screening of U(1) Fractons
• Gapless layered three-dimensional fractional quantum Hall states
• Symmetry enriched U(1) quantum spin liquids
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• ${\mathbb{Z}}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model

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• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
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• Anisotropic layer construction of anisotropic fracton models
• Gauging permutation symmetries as a route to non-Abelian fractons
• Bifurcating entanglement-renormalization group flows of fracton stabilizer models
• Fractonic superfluids. (II). Condensing subdimensional particles
• Higher-Form Subsystem Symmetry Breaking: Subdimensional Criticality and Fracton Phase Transitions
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• Ground state degeneracy on torus in a family of ${\mathbb{Z}}_N$ toric code
• Quantum robustness of fracton phases
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• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Interaction Enabled Fractonic Higher-Order Topological Phases
• Lieb-Schultz-Mattis type constraints on Fractonic Matter
• Critically slow operator dynamics in constrained many-body systems
• Emergent tracer dynamics in constrained quantum systems
• Aspects of ${\mathbb{Z}}_N$ rank-2 gauge theory in $(2+1)$ dimensions: construction schemes, holonomies, and sublattice one-form symmetries
• A symmetry principle for gauge theories with fractons
• Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond
• Fracton physics of spatially extended excitations. II. Polynomial ground state degeneracy of exactly solvable models
• Distilling Fractons from Layered Subsystem-Symmetry Protected Phases
• Covariant fracton gauge theory with boundary
• Gapped Lineon and Fracton Models on Graphs
• Fractonic Higher-Order Topological Phases in Open Quantum Systems
• Emergent Fracton Dynamics in a Non-Planar Dimer Model
• Symmetric higher rank topological phases on generic graphs
• Fractons from frustration in hole-doped antiferromagnets
• Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation
• Realization of fractonic quantum phases in the breathing pyrochlore lattice
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
• Classification and construction of interacting fractonic higher-order topological phases
• Designer non-Abelian fractons from topological layers
• Fractonic topological phases from coupled wires
• Fractalizing quantum codes
• Anyon condensation web and multipartite entanglement in 2D modulated gauge theories
• Odd Fracton Theories, Proximate Orders, and Parton Constructions
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• Electric Circuit Realizations of Fracton Physics
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• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
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• Weak symmetry breaking and topological order in a 3D compressible quantum liquid
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• There and Back Again: A Gauging Nexus between Topological and Fracton Phases
• Topological stabilizer models on continuous variables
• Relaxation and fluctuations of a mass- and dipole-conserving stochastic lattice gas
• A stabilizer code model with non-invertible symmetries: Strange fractons, confinement, and non-commutative and non-Abelian fusion rules
• Symmetry-enriched topological order and quasifractonic behavior in ${\mathbb{Z}}_N$ stabilizer codes