A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations
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December 2015 |
Fracton topological order from nearest-neighbor two-spin interactions and dualities
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October 2017 |
Fractons from partons
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October 2017 |
Full dyon excitation spectrum in extended Levin-Wen models
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May 2018 |
Generalizations and limitations of string-net models
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May 2014 |
Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection
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January 2005 |
X-cube model on generic lattices: Fracton phases and geometric order
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April 2018 |
Quantum orders and symmetric spin liquids
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April 2002 |
Glassy quantum dynamics in translation invariant fracton models
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April 2017 |
Fractionalization in an easy-axis Kagome antiferromagnet
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May 2002 |
Classification of symmetry enriched topological phases with exactly solvable models
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April 2013 |
Topological Phases Protected by Point Group Symmetry
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February 2017 |
Topological quasiparticles and the holographic bulk-edge relation in -dimensional string-net models
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September 2014 |
Vacuum degeneracy of chiral spin states in compactified space
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October 1989 |
Emergent phases of fractonic matter
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February 2018 |
Condensation of achiral simple currents in topological lattice models: Hamiltonian study of topological symmetry breaking
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September 2011 |
Subsystem symmetry protected topological order
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July 2018 |
Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory
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July 2018 |
Fracton-Elasticity Duality
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May 2018 |
Generalized electromagnetism of subdimensional particles: A spin liquid story
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July 2017 |
Recoverable information and emergent conservation laws in fracton stabilizer codes
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April 2018 |
Ground-state degeneracy in the Levin-Wen model for topological phases
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February 2012 |
Exactly solvable models for symmetry-enriched topological phases
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September 2017 |
Nonabelions in the fractional quantum hall effect
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August 1991 |
Fusion rules and modular transformations in 2D conformal field theory
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January 1988 |
Fractal symmetries: Ungauging the cubic code
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October 2016 |
Finite-temperature screening of (1) fractons
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September 2017 |
Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
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October 2010 |
Deciphering the nonlocal entanglement entropy of fracton topological orders
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April 2018 |
Two-Dimensional Magnetotransport in the Extreme Quantum Limit
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May 1982 |
Anyons in an exactly solved model and beyond
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January 2006 |
Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement
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September 2008 |
Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases
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April 2013 |
No-go theorem for boson condensation in topologically ordered quantum liquids
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December 2016 |
Diagrammatics for Bose condensation in anyon theories
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November 2014 |
Topological phases and quasiparticle braiding
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July 2012 |
Topological entanglement entropy of fracton stabilizer codes
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March 2018 |
Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories
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December 2001 |
Entanglement entropy from tensor network states for stabilizer codes
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March 2018 |
Higgs mechanism in higher-rank symmetric U(1) gauge theories
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June 2018 |
Fracton Models on General Three-Dimensional Manifolds
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August 2018 |
Anyon Condensation and Its Applications
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March 2018 |
Anomalous Symmetry Fractionalization and Surface Topological Order
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October 2015 |
Higher-spin Witten effect and two-dimensional fracton phases
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September 2017 |
Topological Orders in Rigid States
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February 1990 |
Three-dimensional topological phases enriched by time-reversal symmetry
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November 2013 |
String-net condensation: A physical mechanism for topological phases
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January 2005 |
Superconductors are topologically ordered
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October 2004 |
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to spin liquids
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April 2016 |
Colloquium : Zoo of quantum-topological phases of matter
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December 2017 |
Chiral Topological Elasticity and Fracton Order
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February 2019 |
Multiflavor string-net models
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May 2017 |
Phase transitions in topological lattice models via topological symmetry breaking
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January 2012 |
Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
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January 2017 |
Classifying fractionalization: Symmetry classification of gapped spin liquids in two dimensions
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March 2013 |
Anyon condensation and tensor categories
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September 2014 |
Topological Quantum Distillation
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October 2006 |
Detecting Topological Order in a Ground State Wave Function
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March 2006 |
Local stabilizer codes in three dimensions without string logical operators
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April 2011 |
Topological Entanglement Entropy
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March 2006 |
Classification and analysis of two-dimensional Abelian fractional topological insulators
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September 2012 |
Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces
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May 1990 |
Models for Gapped Boundaries and Domain Walls
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June 2012 |
Quantum Self-Correction in the 3D Cubic Code Model
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November 2013 |
On braided fusion categories I
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March 2010 |
General phase spaces: from discrete variables to rotor and continuum limits
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November 2017 |
A theory of 2+1D bosonic topological orders
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November 2015 |
Topological order in an exactly solvable 3D spin model
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April 2011 |
Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order
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December 2017 |
Exotic topological order in fractal spin liquids
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September 2013 |
Topological Computation without Braiding
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April 2007 |
Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states
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February 2011 |
Fracton topological order via coupled layers
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June 2017 |
Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry
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November 2017 |
Fractal Symmetric Phases of Matter
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January 2019 |
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
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May 1983 |
Mapping Kitaev’s quantum double lattice models to Levin and Wen’s string-net models
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October 2009 |
Topological quantum glassiness
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January 2012 |
Fracton topological order, generalized lattice gauge theory, and duality
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December 2016 |
Space-group symmetry fractionalization in a family of exactly solvable models with topological order
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January 2015 |
Twisted fracton models in three dimensions
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April 2019 |
Theory of (2+1)-dimensional fermionic topological orders and fermionic/bosonic topological orders with symmetries
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October 2016 |
Subdimensional particle structure of higher rank spin liquids
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March 2017 |
Fracton Topological Phases from Strongly Coupled Spin Chains
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December 2017 |
Universal entanglement signatures of foliated fracton phases
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January 2019 |
Non-Abelian anyons and topological quantum computation
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September 2008 |
Fault-tolerant quantum computation by anyons
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January 2003 |
Condensate-induced transitions between topologically ordered phases
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January 2009 |
State sum invariants of 3-manifolds and quantum 6j-symbols
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October 1992 |
Fractons
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March 2019 |
Correlation function diagnostics for type-I fracton phases
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January 2018 |
On Classification of Modular Tensor Categories
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August 2009 |
Pinch point singularities of tensor spin liquids
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October 2018 |
Quantum field theory and the Jones polynomial
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September 1989 |
Exact topological quantum order in and beyond: Branyons and brane-net condensates
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February 2007 |
Topological Orders and Chern-Simons Theory in Strongly Correlated Quantum Liquid
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June 1991 |
Unified framework of topological phases with symmetry
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December 2014 |