Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Structure of the entanglement entropy of (3+1)-dimensional gapped phases of matter

Journal Article · · Physical Review B

Not provided.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0016239
OSTI ID:
1540863
Journal Information:
Physical Review B, Vol. 97, Issue 19; ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (76)

Topological Insulators and Topological Superconductors January 2013
Symmetry-Protected Topological Phases of Quantum Matter March 2015
Quantized Hall conductivity in two dimensions May 1981
Two-Dimensional Magnetotransport in the Extreme Quantum Limit May 1982
Topological Orders in Rigid States February 1990
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State April 1983
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model February 1983
Quantum Spin Hall Effect in Graphene November 2005
Quantum Spin Hall Effect March 2006
Symmetry protected topological orders and the group cohomology of their symmetry group April 2013
Topological insulators and superconductors: tenfold way and dimensional hierarchy June 2010
Topological Crystalline Insulators March 2011
Hourglass fermions April 2016
Topological Insulators from Group Cohomology April 2016
Classification of Abelian quantum Hall states and matrix formulation of topological fluids July 1992
Excitation structure of the hierarchy scheme in the fractional quantum Hall effect September 1990
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach September 2012
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to Z 2 spin liquids April 2016
A classification of quantum Hall fluids February 1997
Anyons in an exactly solved model and beyond January 2006
Interferometry of non-Abelian anyons November 2008
Topological orders and edge excitations in fractional quantum Hall states October 1995
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect February 2013
Gapped boundary phases of topological insulators via weak coupling November 2016
Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology June 2014
Field theories for gauged symmetry-protected topological phases: Non-Abelian anyons with Abelian gauge group Z 2 ⊗ 3 January 2017
Braiding statistics approach to symmetry-protected topological phases September 2012
Anomalies and fermion zero modes on strings and domain walls January 1985
Topological Insulators in Three Dimensions March 2007
Exactly soluble model of a three-dimensional symmetry-protected topological phase of bosons with surface topological order December 2014
Anomalous Symmetry Fractionalization and Surface Topological Order October 2015
Symmetry enforced non-Abelian topological order at the surface of a topological insulator April 2014
Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators September 2015
Bosonic topological insulator in three dimensions and the statistical Witten effect July 2013
Nonabelions in the fractional quantum hall effect August 1991
Fractional Statistics and the Quantum Hall Effect August 1984
Braiding Statistics of Loop Excitations in Three Dimensions August 2014
Non-Abelian string and particle braiding in topological order: Modular SL ( 3 , Z ) representation and ( 3 + 1 ) -dimensional twisted gauge theory January 2015
Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions September 2017
Topological Entanglement Entropy March 2006
Detecting Topological Order in a Ground State Wave Function March 2006
Topological entanglement entropy of a Bose–Hubbard spin liquid July 2011
Identifying topological order by entanglement entropy November 2012
Nature of the Spin-Liquid Ground State of the S = 1 / 2 Heisenberg Model on the Kagome Lattice August 2012
Topological order in a three-dimensional toric code at finite temperature October 2008
Three-dimensional topological lattice models with surface anyons January 2013
Entanglement entropy of gapped phases and topological order in three dimensions November 2011
Holographic entropy inequalities and gapped phases of matter September 2015
Entropy inequalities June 1970
Quantum error correction for beginners June 2013
The holographic entropy cone September 2015
(3+1)-TQFTs and topological insulators July 2011
Generalized global symmetries February 2015
Coupling a QFT to a TQFT and duality April 2014
Quantum field theory and the Jones polynomial September 1989
Remarks on the canonical quantization of the Chern-Simons-Witten theory October 1989
Fault-tolerant quantum computation by anyons January 2003
Exactly soluble local bosonic cocycle models, statistical transmutation, and simplest time-reversal symmetric topological orders in 3+1 dimensions May 2017
Entanglement spectrum of a topological phase in one dimension February 2010
Topological phases of one-dimensional fermions: An entanglement point of view February 2011
Inversion-symmetric topological insulators June 2011
Entanglement spectrum classification of C n -invariant noninteracting topological insulators in two dimensions January 2013
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States July 2008
Topological Entanglement and Clustering of Jain Hierarchy States June 2009
Bulk-edge correspondence in entanglement spectra November 2011
Real-space entanglement spectrum of quantum Hall systems March 2012
Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states December 2012
Real-space entanglement spectrum of quantum Hall states March 2012
Correlation Lengths and Topological Entanglement Entropies of Unitary and Nonunitary Fractional Quantum Hall Wave Functions May 2015
Zoology of fractional Chern insulators February 2012
Quantum Computation and Quantum Information January 2011
A refinement of entanglement entropy and the number of degrees of freedom April 2013
Local stabilizer codes in three dimensions without string logical operators April 2011
Topological entanglement entropy of fracton stabilizer codes March 2018
Entanglement entropy from tensor network states for stabilizer codes March 2018
Observations on entanglement entropy in massive QFT’s April 2013