Structure of the entanglement entropy of (3+1)-dimensional gapped phases of matter
Abstract
Not provided.
- Authors:
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1540863
- DOE Contract Number:
- SC0016239
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 19; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- Materials Science; Physics
Citation Formats
Zheng, Yunqin, He, Huan, Bradlyn, Barry, Cano, Jennifer, Neupert, Titus, and Bernevig, B. Andrei. Structure of the entanglement entropy of (3+1)-dimensional gapped phases of matter. United States: N. p., 2018.
Web. doi:10.1103/physrevb.97.195118.
Zheng, Yunqin, He, Huan, Bradlyn, Barry, Cano, Jennifer, Neupert, Titus, & Bernevig, B. Andrei. Structure of the entanglement entropy of (3+1)-dimensional gapped phases of matter. United States. https://doi.org/10.1103/physrevb.97.195118
Zheng, Yunqin, He, Huan, Bradlyn, Barry, Cano, Jennifer, Neupert, Titus, and Bernevig, B. Andrei. Tue .
"Structure of the entanglement entropy of (3+1)-dimensional gapped phases of matter". United States. https://doi.org/10.1103/physrevb.97.195118.
@article{osti_1540863,
title = {Structure of the entanglement entropy of (3+1)-dimensional gapped phases of matter},
author = {Zheng, Yunqin and He, Huan and Bradlyn, Barry and Cano, Jennifer and Neupert, Titus and Bernevig, B. Andrei},
abstractNote = {Not provided.},
doi = {10.1103/physrevb.97.195118},
url = {https://www.osti.gov/biblio/1540863},
journal = {Physical Review B},
issn = {2469-9950},
number = 19,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Symmetry-Protected Topological Phases of Quantum Matter
journal, March 2015
- Senthil, T.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Quantized Hall conductivity in two dimensions
journal, May 1981
- Laughlin, R. B.
- Physical Review B, Vol. 23, Issue 10
Two-Dimensional Magnetotransport in the Extreme Quantum Limit
journal, May 1982
- Tsui, D. C.; Stormer, H. L.; Gossard, A. C.
- Physical Review Letters, Vol. 48, Issue 22
Topological Orders in Rigid States
journal, February 1990
- Wen, X. G.
- International Journal of Modern Physics B, Vol. 04, Issue 02
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
journal, April 1983
- Haldane, F. D. M.
- Physical Review Letters, Vol. 50, Issue 15
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
journal, February 1983
- Haldane, F. D. M.
- Physics Letters A, Vol. 93, Issue 9
Quantum Spin Hall Effect in Graphene
journal, November 2005
- Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 95, Issue 22
Quantum Spin Hall Effect
journal, March 2006
- Bernevig, B. Andrei; Zhang, Shou-Cheng
- Physical Review Letters, Vol. 96, Issue 10
Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013
- Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin
- Physical Review B, Vol. 87, Issue 15
Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010
- Ryu, Shinsei; Schnyder, Andreas P.; Furusaki, Akira
- New Journal of Physics, Vol. 12, Issue 6
Topological Crystalline Insulators
journal, March 2011
- Fu, Liang
- Physical Review Letters, Vol. 106, Issue 10
Hourglass fermions
journal, April 2016
- Wang, Zhijun; Alexandradinata, A.; Cava, R. J.
- Nature, Vol. 532, Issue 7598
Topological Insulators from Group Cohomology
journal, April 2016
- Alexandradinata, A.; Wang, Zhijun; Bernevig, B. Andrei
- Physical Review X, Vol. 6, Issue 2
Classification of Abelian quantum Hall states and matrix formulation of topological fluids
journal, July 1992
- Wen, X. G.; Zee, A.
- Physical Review B, Vol. 46, Issue 4
Excitation structure of the hierarchy scheme in the fractional quantum Hall effect
journal, September 1990
- Read, N.
- Physical Review Letters, Vol. 65, Issue 12
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
journal, September 2012
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 86, Issue 12
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to spin liquids
journal, April 2016
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 93, Issue 15
A classification of quantum Hall fluids
journal, February 1997
- Fröhlich, Jürg; Studer, Urban M.; Thiran, Emmanuel
- Journal of Statistical Physics, Vol. 86, Issue 3-4
Anyons in an exactly solved model and beyond
journal, January 2006
- Kitaev, Alexei
- Annals of Physics, Vol. 321, Issue 1
Interferometry of non-Abelian anyons
journal, November 2008
- Bonderson, Parsa; Shtengel, Kirill; Slingerland, J. K.
- Annals of Physics, Vol. 323, Issue 11
Topological orders and edge excitations in fractional quantum Hall states
journal, October 1995
- Wen, Xiao-Gang
- Advances in Physics, Vol. 44, Issue 5
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect
journal, February 2013
- Vishwanath, Ashvin; Senthil, T.
- Physical Review X, Vol. 3, Issue 1
Gapped boundary phases of topological insulators via weak coupling
journal, November 2016
- Seiberg, Nathan; Witten, Edward
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology
journal, June 2014
- Kapustin, Anton; Thorngren, Ryan
- Physical Review Letters, Vol. 112, Issue 23
Field theories for gauged symmetry-protected topological phases: Non-Abelian anyons with Abelian gauge group
journal, January 2017
- He, Huan; Zheng, Yunqin; von Keyserlingk, Curt
- Physical Review B, Vol. 95, Issue 3
Braiding statistics approach to symmetry-protected topological phases
journal, September 2012
- Levin, Michael; Gu, Zheng-Cheng
- Physical Review B, Vol. 86, Issue 11
Anomalies and fermion zero modes on strings and domain walls
journal, January 1985
- Callan, C. G.; Harvey, J. A.
- Nuclear Physics B, Vol. 250, Issue 1-4
Topological Insulators in Three Dimensions
journal, March 2007
- Fu, Liang; Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 98, Issue 10, Article No. 106803
Exactly soluble model of a three-dimensional symmetry-protected topological phase of bosons with surface topological order
journal, December 2014
- Burnell, F. J.; Chen, Xie; Fidkowski, Lukasz
- Physical Review B, Vol. 90, Issue 24
Anomalous Symmetry Fractionalization and Surface Topological Order
journal, October 2015
- Chen, Xie; Burnell, F. J.; Vishwanath, Ashvin
- Physical Review X, Vol. 5, Issue 4
Symmetry enforced non-Abelian topological order at the surface of a topological insulator
journal, April 2014
- Chen, Xie; Fidkowski, Lukasz; Vishwanath, Ashvin
- Physical Review B, Vol. 89, Issue 16
Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators
journal, September 2015
- Metlitski, Max A.; Kane, C. L.; Fisher, Matthew P. A.
- Physical Review B, Vol. 92, Issue 12
Bosonic topological insulator in three dimensions and the statistical Witten effect
journal, July 2013
- Metlitski, Max A.; Kane, C. L.; Fisher, Matthew P. A.
- Physical Review B, Vol. 88, Issue 3
Nonabelions in the fractional quantum hall effect
journal, August 1991
- Moore, Gregory; Read, Nicholas
- Nuclear Physics B, Vol. 360, Issue 2-3
Fractional Statistics and the Quantum Hall Effect
journal, August 1984
- Arovas, Daniel; Schrieffer, J. R.; Wilczek, Frank
- Physical Review Letters, Vol. 53, Issue 7
Braiding Statistics of Loop Excitations in Three Dimensions
journal, August 2014
- Wang, Chenjie; Levin, Michael
- Physical Review Letters, Vol. 113, Issue 8
Non-Abelian string and particle braiding in topological order: Modular representation and -dimensional twisted gauge theory
journal, January 2015
- Wang, Juven C.; Wen, Xiao-Gang
- Physical Review B, Vol. 91, Issue 3
Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions
journal, September 2017
- Putrov, Pavel; Wang, Juven; Yau, Shing-Tung
- Annals of Physics, Vol. 384
Topological Entanglement Entropy
journal, March 2006
- Kitaev, Alexei; Preskill, John
- Physical Review Letters, Vol. 96, Issue 11
Detecting Topological Order in a Ground State Wave Function
journal, March 2006
- Levin, Michael; Wen, Xiao-Gang
- Physical Review Letters, Vol. 96, Issue 11
Topological entanglement entropy of a Bose–Hubbard spin liquid
journal, July 2011
- Isakov, Sergei V.; Hastings, Matthew B.; Melko, Roger G.
- Nature Physics, Vol. 7, Issue 10
Identifying topological order by entanglement entropy
journal, November 2012
- Jiang, Hong-Chen; Wang, Zhenghan; Balents, Leon
- Nature Physics, Vol. 8, Issue 12
Nature of the Spin-Liquid Ground State of the Heisenberg Model on the Kagome Lattice
journal, August 2012
- Depenbrock, Stefan; McCulloch, Ian P.; Schollwöck, Ulrich
- Physical Review Letters, Vol. 109, Issue 6
Topological order in a three-dimensional toric code at finite temperature
journal, October 2008
- Castelnovo, Claudio; Chamon, Claudio
- Physical Review B, Vol. 78, Issue 15
Three-dimensional topological lattice models with surface anyons
journal, January 2013
- von Keyserlingk, C. W.; Burnell, F. J.; Simon, S. H.
- Physical Review B, Vol. 87, Issue 4
Entropic manifestations of topological order in three dimensions
journal, March 2016
- Bullivant, Alex; Pachos, Jiannis K.
- Physical Review B, Vol. 93, Issue 12
Entanglement entropy of gapped phases and topological order in three dimensions
journal, November 2011
- Grover, Tarun; Turner, Ari M.; Vishwanath, Ashvin
- Physical Review B, Vol. 84, Issue 19
Holographic entropy inequalities and gapped phases of matter
journal, September 2015
- Bao, Ning; Cao, ChunJun; Walter, Michael
- Journal of High Energy Physics, Vol. 2015, Issue 9
Entropy inequalities
journal, June 1970
- Araki, Huzihiro; Lieb, Elliott H.
- Communications in Mathematical Physics, Vol. 18, Issue 2
Quantum error correction for beginners
journal, June 2013
- Devitt, Simon J.; Munro, William J.; Nemoto, Kae
- Reports on Progress in Physics, Vol. 76, Issue 7
The holographic entropy cone
journal, September 2015
- Bao, Ning; Nezami, Sepehr; Ooguri, Hirosi
- Journal of High Energy Physics, Vol. 2015, Issue 9
(3+1)-TQFTs and topological insulators
journal, July 2011
- Walker, Kevin; Wang, Zhenghan
- Frontiers of Physics, Vol. 7, Issue 2
Generalized global symmetries
journal, February 2015
- Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2015, Issue 2
Coupling a QFT to a TQFT and duality
journal, April 2014
- Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2014, Issue 4
Quantum field theory and the Jones polynomial
journal, September 1989
- Witten, Edward
- Communications in Mathematical Physics, Vol. 121, Issue 3
Remarks on the canonical quantization of the Chern-Simons-Witten theory
journal, October 1989
- Elitzur, Shmuel; Moore, Gregory; Schwimmer, Adam
- Nuclear Physics B, Vol. 326, Issue 1
Fault-tolerant quantum computation by anyons
journal, January 2003
- Kitaev, A. Yu.
- Annals of Physics, Vol. 303, Issue 1
Exactly soluble local bosonic cocycle models, statistical transmutation, and simplest time-reversal symmetric topological orders in 3+1 dimensions
journal, May 2017
- Wen, Xiao-Gang
- Physical Review B, Vol. 95, Issue 20
Entanglement spectrum of a topological phase in one dimension
journal, February 2010
- Pollmann, Frank; Turner, Ari M.; Berg, Erez
- Physical Review B, Vol. 81, Issue 6
Topological phases of one-dimensional fermions: An entanglement point of view
journal, February 2011
- Turner, Ari M.; Pollmann, Frank; Berg, Erez
- Physical Review B, Vol. 83, Issue 7
Inversion-symmetric topological insulators
journal, June 2011
- Hughes, Taylor L.; Prodan, Emil; Bernevig, B. Andrei
- Physical Review B, Vol. 83, Issue 24
Entanglement spectrum classification of -invariant noninteracting topological insulators in two dimensions
journal, January 2013
- Fang, Chen; Gilbert, Matthew J.; Bernevig, B. Andrei
- Physical Review B, Vol. 87, Issue 3
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
journal, July 2008
- Li, Hui; Haldane, F. D. M.
- Physical Review Letters, Vol. 101, Issue 1
Topological Entanglement and Clustering of Jain Hierarchy States
journal, June 2009
- Regnault, N.; Bernevig, B. A.; Haldane, F. D. M.
- Physical Review Letters, Vol. 103, Issue 1
Bulk-edge correspondence in entanglement spectra
journal, November 2011
- Chandran, Anushya; Hermanns, M.; Regnault, N.
- Physical Review B, Vol. 84, Issue 20
Real-space entanglement spectrum of quantum Hall systems
journal, March 2012
- Dubail, J.; Read, N.; Rezayi, E. H.
- Physical Review B, Vol. 85, Issue 11
Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states
journal, December 2012
- Dubail, J.; Read, N.; Rezayi, E. H.
- Physical Review B, Vol. 86, Issue 24
Real-space entanglement spectrum of quantum Hall states
journal, March 2012
- Sterdyniak, A.; Chandran, A.; Regnault, N.
- Physical Review B, Vol. 85, Issue 12
Correlation Lengths and Topological Entanglement Entropies of Unitary and Nonunitary Fractional Quantum Hall Wave Functions
journal, May 2015
- Estienne, B.; Regnault, N.; Bernevig, B. A.
- Physical Review Letters, Vol. 114, Issue 18
Zoology of fractional Chern insulators
journal, February 2012
- Wu, Yang-Le; Bernevig, B. Andrei; Regnault, N.
- Physical Review B, Vol. 85, Issue 7
A refinement of entanglement entropy and the number of degrees of freedom
journal, April 2013
- Liu, Hong; Mezei, Márk
- Journal of High Energy Physics, Vol. 2013, Issue 4
Probing renormalization group flows using entanglement entropy
journal, January 2014
- Liu, Hong; Mezei, Márk
- Journal of High Energy Physics, Vol. 2014, Issue 1
Local stabilizer codes in three dimensions without string logical operators
journal, April 2011
- Haah, Jeongwan
- Physical Review A, Vol. 83, Issue 4
Topological entanglement entropy of fracton stabilizer codes
journal, March 2018
- Ma, Han; Schmitz, A. T.; Parameswaran, S. A.
- Physical Review B, Vol. 97, Issue 12
Entanglement entropy from tensor network states for stabilizer codes
journal, March 2018
- He, Huan; Zheng, Yunqin; Bernevig, B. Andrei
- Physical Review B, Vol. 97, Issue 12
Observations on entanglement entropy in massive QFT’s
journal, April 2013
- Lewkowycz, Aitor; Myers, Robert C.; Smolkin, Michael
- Journal of High Energy Physics, Vol. 2013, Issue 4