A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations
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journal
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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 |
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 |
Diverging Entanglement Length in Gapped Quantum Spin Systems
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February 2004 |
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 |
Symmetry protected topological orders and the group cohomology of their symmetry group
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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 |
Emergent phases of fractonic matter
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February 2018 |
Unpaired Majorana fermions in quantum wires
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October 2001 |
Classification of Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons
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June 2018 |
Subsystem symmetry protected topological order
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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 |
String-net models with fusion algebra
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December 2012 |
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect
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February 2013 |
Nonabelions in the fractional quantum hall effect
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August 1991 |
Topological gauge theories and group cohomology
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April 1990 |
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 |
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 |
Generalized Modular Transformations in Topologically Ordered Phases and Triple Linking Invariant of Loop Braiding
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September 2014 |
Anyons in an exactly solved model and beyond
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January 2006 |
Twisted gauge theory model of topological phases in three dimensions
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July 2015 |
Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement
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September 2008 |
Quasi hope algebras, group cohomology and orbifold models
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January 1991 |
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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journal
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December 2001 |
Entanglement entropy from tensor network states for stabilizer codes
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March 2018 |
Topological Order and the Quantum Spin Hall Effect
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September 2005 |
Fracton Models on General Three-Dimensional Manifolds
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August 2018 |
Higher-spin Witten effect and two-dimensional fracton phases
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September 2017 |
Non-Abelian string and particle braiding in topological order: Modular representation and -dimensional twisted gauge theory
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January 2015 |
Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter
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journal
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July 2017 |
Bosonic topological insulator in three dimensions and the statistical Witten effect
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journal
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July 2013 |
Multikink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF field theories
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March 2016 |
Topological Insulators in Three Dimensions
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March 2007 |
Three-Dimensional Color Code Thresholds via Statistical-Mechanical Mapping
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May 2018 |
Twisted quantum double model of topological phases in two dimensions
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March 2013 |
Superconductors are topologically ordered
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October 2004 |
Fractonic line excitations: An inroad from three-dimensional elasticity theory
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June 2018 |
Topological invariants of time-reversal-invariant band structures
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March 2007 |
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to spin liquids
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April 2016 |
Chiral Topological Elasticity and Fracton Order
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February 2019 |
Symmetry protection of topological phases in one-dimensional quantum spin systems
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journal
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February 2012 |
Quasi-quantum groups, knots, three-manifolds, and topological field theory
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journal
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November 1992 |
Topological insulators and superconductors
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journal
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October 2011 |
Multiflavor string-net models
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journal
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May 2017 |
Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
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journal
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January 2017 |
Classifying fractionalization: Symmetry classification of gapped spin liquids in two dimensions
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March 2013 |
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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December 2006 |
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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journal
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March 2006 |
A character theory for projective representations of finite groups
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journal
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March 2015 |
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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journal
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May 1990 |
Models for Gapped Boundaries and Domain Walls
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June 2012 |
Topological phases and the quantum spin Hall effect in three dimensions
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May 2009 |
Nested topological order
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December 2011 |
Quantum Self-Correction in the 3D Cubic Code Model
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November 2013 |
General phase spaces: from discrete variables to rotor and continuum limits
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journal
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November 2017 |
Topological order in an exactly solvable 3D spin model
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journal
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April 2011 |
Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order
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December 2017 |
Symmetry-protected topological orders for interacting fermions: Fermionic topological nonlinear models and a special group supercohomology theory
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journal
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September 2014 |
Exotic topological order in fractal spin liquids
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journal
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September 2013 |
Topological Computation without Braiding
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journal
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April 2007 |
Fracton topological order via coupled layers
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journal
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June 2017 |
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
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December 2012 |
Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry
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journal
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November 2017 |
Fractal Symmetric Phases of Matter
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journal
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January 2019 |
Twisted gauge theories in three-dimensional Walker-Wang models
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March 2017 |
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
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May 1983 |
Topological quantum glassiness
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January 2012 |
A class of P,T-invariant topological phases of interacting electrons
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April 2004 |
Fracton topological order, generalized lattice gauge theory, and duality
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journal
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December 2016 |
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
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October 2009 |
Space-group symmetry fractionalization in a family of exactly solvable models with topological order
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January 2015 |
Colloquium: Topological insulators
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journal
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November 2010 |
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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journal
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December 2017 |
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
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journal
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April 2000 |
Fault-tolerant quantum computation by anyons
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January 2003 |
Braiding statistics approach to symmetry-protected topological phases
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September 2012 |
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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February 1983 |
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 |
String and membrane condensation on three-dimensional lattices
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July 2005 |
Pinch point singularities of tensor spin liquids
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October 2018 |
Exact topological quantum order in and beyond: Branyons and brane-net condensates
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journal
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February 2007 |
Broken Quantum Symmetry and Confinement Phases in Planar Physics
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journal
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October 2002 |
Valence bond ground states in isotropic quantum antiferromagnets
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September 1988 |
The Quantum Double Model with Boundary: Condensations and Symmetries
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journal
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June 2011 |
Symmetry protection of topological order in one-dimensional quantum spin systems
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text
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January 2009 |
The Quantum Double Model with Boundary: Condensations and Symmetries
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text
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January 2010 |
Twisted Quantum Double Model of Topological Phases in Two--Dimension
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text
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January 2012 |
Exotic topological order in fractal spin liquids
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text
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January 2013 |
Bosonic topological insulator in three dimensions and the statistical Witten effect
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text
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January 2013 |
Generalizations and limitations of string-net models
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text
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January 2014 |
Multi-kink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF theory
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text
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January 2015 |
A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
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text
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January 2015 |
Multi-flavor string-net models
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text
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January 2016 |
Fractons from Partons
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text
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January 2017 |
Deciphering the nonlocal entanglement entropy of fracton topological orders
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text
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January 2017 |
Fracton topological phases from strongly coupled spin chains
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text
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January 2017 |
Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
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text
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January 2017 |
Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter
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text
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January 2017 |
Emergent Phases of Fractonic Matter
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text
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January 2017 |
Correlation function diagnostics for type-I fracton phases
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text
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January 2017 |
A simple anisotropic three-dimensional quantum spin liquid with fracton topological order
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text
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January 2017 |
Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
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text
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January 2017 |
String-net condensation: A physical mechanism for topological phases
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text
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January 2004 |
Anyons in an exactly solved model and beyond
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text
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January 2005 |
Topological invariants of time-reversal-invariant band structures
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text
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January 2006 |
Topological Insulators in Three Dimensions
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text
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January 2006 |
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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text
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January 2006 |
Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory
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text
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January 1992 |
Fault-tolerant quantum computation by anyons
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text
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January 1997 |