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2010, Di 1 ban., Hai shang wen xue bai jia wen ku, ISBN 9787532137640, Volume 120., [4], 213
Book
2004, Oxford graduate texts, ISBN 0198530943, 520
This book is a pedagogical introduction to new concepts and quantum field theoretical methods in condensed matter physics, which may have an impact on our... 
Many-body problem | Quantum field theory
eBook
Reviews of modern physics, ISSN 1539-0756, 2017, Volume 89, Issue 4, p. 1
What are topological phases of matter? First, they are phases of matter at zero temperature. Second, they have a nonzero energy gap for the excitations above... 
Liquids | Energy gap | Entanglement | Phases | Topology
Journal Article
09/2007, Oxford Graduate Texts, ISBN 9780199227259, Volume 9780199227259
For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years,... 
Mathematical and Statistical Physics | Quantum matter | Topological order | Condensed matter physics | Gauge theory | Effective field theory | Path integral | Many-body | Quantum hall effect | Quantum field theory | String-net condensation
eBook
Physical review. B, Condensed matter and materials physics, ISSN 1098-0121, 05/2015, Volume 91, Issue 20
Journal Article
Physical review. B, Condensed matter and materials physics, ISSN 1550-235X, 2014, Volume 89, Issue 3
Recently, it was realized that quantum states of matter can be classified as long-range entangled states (i.e., with nontrivial topological order) and... 
PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | EXCITATIONS | RESONATING-VALENCE-BOND | CHIRAL SPIN STATES | SYSTEMS | NON-ABELIAN STATISTICS | DEGENERACY | SUPERCONDUCTORS | 2 DIMENSIONS | ANTIFERROMAGNETS
Journal Article
Physical review letters, ISSN 1079-7114, 2006, Volume 96, Issue 11, p. 110405
A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized... 
PHYSICS, MULTIDISCIPLINARY | QUANTUM HALL STATES | SUPERCONDUCTORS | Physics - Strongly Correlated Electrons | TOPOLOGY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | FERMIONS | QUANTUM ENTANGLEMENT | QUANTUM MECHANICS | GROUND STATES | ENTROPY | WAVE FUNCTIONS
Journal Article
Physical review. B, Condensed matter and materials physics, ISSN 1550-235X, 2013, Volume 87, Issue 15
Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same... 
PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | STATISTICS | FIELD THEORY | RESONATING-VALENCE-BOND | CHIRAL SPIN STATES | MODEL | EDGE STATES | 2 DIMENSIONS | HIERARCHY | ANTIFERROMAGNETS
Journal Article
Physical review. B, Condensed matter and materials physics, ISSN 1550-235X, 2009, Volume 80, Issue 15
Journal Article
Physical review. B, Condensed matter and materials physics, ISSN 1098-0121, 01/2015, Volume 91, Issue 3
String and particle braiding statistics are examined in a class of topological orders described by discrete gauge theories with a gauge group G and a 4-cocycle... 
PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | BOUNDARIES | STATISTICS | ANYONS | SYSTEMS | DEGENERACY | COMPUTATION
Journal Article
Physical review. B, Condensed matter and materials physics, ISSN 1550-235X, 2005, Volume 71, Issue 4
Journal Article
Physical review. B, Condensed matter and materials physics, ISSN 1098-0121, 10/2012, Volume 86, Issue 16
Phys. Rev. B 86, 161107(R) (2012) Non-Abelian statistics is a phenomenon of topologically protected non-Abelian Berry phases as we exchange quasiparticle... 
Journal Article
Physical review letters, ISSN 0031-9007, 07/2013, Volume 111, Issue 3
Journal Article
International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics, ISSN 1793-6578, 2018, Volume 32, Issue 26, p. 1830010
Newton’s mechanical revolution unifies the motion of planets in the sky and the falling of apples on Earth. Maxwell’s electromagnetic revolution unifies... 
PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | PARITY CONSERVATION | SPIN | PARTICLES | ELECTRONS | INSTANTONS | PHYSICS, MATHEMATICAL | MECHANICS | TOPOLOGICAL ORDERS | SYSTEMS | RELATIVITY THEORY | LATTICE GAUGE-THEORIES | Astronomy | Particles (Nuclear physics) | Physics - General Physics
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 4/2017, Volume 351, Issue 2, pp. 709 - 739
... of Unitary Braided Fusion Categories and 2+1D T opological/SPT Orders with Symmetries Tian Lan 1,2 , Liang Kong 3,4 , Xiao-Gang Wen 1,5 1 Perimeter Institute... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | TENSOR CATEGORIES | MODEL | Resveratrol
Journal Article
Physical review. D, Particles, fields, gravitation, and cosmology, ISSN 1550-2368, 2013, Volume 88, Issue 4
In this paper, we systematically study gauge anomalies in bosonic and fermionic weak-coupling gauge theories with gauge group G (which can be continuous or... 
QUANTUM HALL STATES | EXCITATIONS | LATTICE | ASTRONOMY & ASTROPHYSICS | CHIRAL FERMIONS | PHYSICS, PARTICLES & FIELDS
Journal Article
Physical review letters, ISSN 1079-7114, 2015, Volume 114, Issue 3, p. 031601
The challenge of identifying symmetry-protected topological states (SPTs) is due to their lack of symmetry-breaking order parameters and intrinsic topological... 
INSULATORS | SYSTEMS | QUANTUM HALL STATES | DEGENERACY | PHYSICS, MULTIDISCIPLINARY | Mathematical analysis | Field theory | Representations | Topology | Gages | Invariants | Gauges | Symmetry
Journal Article