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A $(2+1)$-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge.
E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum mechanical entropy, J. Math. Phys. 14
1973
Earlier work this paper cites.
E. H. Lieb, Convex trace functions and the wigner-yanase-dyson conjecture, Advances in Mathematics 11
1973
Earlier work this paper cites.
J. M. Leinaas and J. Myrheim, On the theory of identical particles, Il Nuovo Cimento B (1971-1996) 37
1977
Earlier work this paper cites.
K. v. Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance, Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
F. Wilczek, Quantum mechanics of fractional-spin particles, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Quantized hall conductance in a two-dimensional periodic potential, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer, and A. C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit, Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
D. Arovas, J. R. Schrieffer, and F. Wilczek, Fractional statistics and the quantum hall effect, Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
X. G. Wen, Topological orders in rigid states, Int. J. Mod. Phys. B 04
1990
Earlier work this paper cites.
X. G. Wen, Gapless boundary excitations in the quantum Hall states and in the chiral spin states, Phys. Rev. B 43
1991
Earlier work this paper cites.
G. Moore and N. Read, Nonabelions in the fractional quantum hall effect, Nuclear Physics B 360
1991
Earlier work this paper cites.
C. L. Kane and M. P. A. Fisher, Quantized thermal transport in the fractional quantum Hall effect, Phys. Rev. B 55
1997
Earlier work this paper cites.
T. Senthil, J. B. Marston, and M. P. A. Fisher, Spin quantum Hall effect in unconventional superconductors, Phys. Rev. B 60
1999
Earlier work this paper cites.
N. Read and D. Green, Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum hall effect, Phys. Rev. B 61
2000
Earlier work this paper cites.
A. Cappelli, M. Huerta, and G. R. Zemba, Thermal transport in chiral conformal theories and hierarchical quantum Hall states, Nucl. Phys. B 636
2002
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Ann. Phys. 303
2003
Earlier work this paper cites.
D. Petz, Monotonicity of quantum relative entropy revisited, Rev. Math. Phys. 15
2003
Earlier work this paper cites.
H. Araki and H. Moriya, Equilibrium statistical mechanics of fermion lattice systems, Rev. Math. Phys. 15
2003
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological entanglement entropy, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
M. Levin and X.-G. Wen, Detecting topological order in a ground state wave function, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond, Ann. Phys. 321
2006
Cited alongside, same era.
H. Li and F. D. M. Haldane, Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states, Phys. Rev. Lett. 101
2008
Cited alongside, same era.
H. Casini, Relative entropy and the Bekenstein bound, Classical and Quantum Gravity 25
2008
Cited alongside, same era.
I. Marvian, Symmetry-protected topological entanglement, Physical Review B 95
2017
Later among the works it cites.
K. Shiozaki, H. Shapourian, and S. Ryu, Many-body topological invariants in fermionic symmetry-protected topological phases: Cases of point group symmetries, Phys. Rev. B 95
2017
Later among the works it cites.
H. Shapourian, K. Shiozaki, and S. Ryu, Many-body topological invariants for fermionic symmetry-protected topological phases, Phys. Rev. Lett. 118
2017
Later among the works it cites.
2017
Later among the works it cites.
H. Tasaki, Topological Phase Transition and Z2 Index for S=1 Quantum spin chains, Phys. Rev. Lett. 121
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2011
Cited alongside, same era.
2011
Cited alongside, same era.
Y. Zhang, T. Grover, A. Turner, M. Oshikawa, and A. Vishwanath, Quasiparticle statistics and braiding from ground-state entanglement, Phys. Rev. B 85
2012
Cited alongside, same era.
R. Haag, Local Quantum Physics: Fields, Particles, Algebras , 1st ed. (Springer Publishing Company, Incorporated, 2012)
2012
Cited alongside, same era.
J. Haegeman, D. Pérez-García, I. Cirac, and N. Schuch, Order Parameter for Symmetry-Protected Phases in One Dimension, Phys. Rev. Lett. 109
2012
Cited alongside, same era.
L. Cincio and G. Vidal, Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
H.-H. Tu, Y. Zhang, and X.-L. Qi, Momentum polarization: An entanglement measure of topological spin and chiral central charge, Phys. Rev. B 88
2013
Cited alongside, same era.
2018
Later among the works it cites.
K. Shiozaki, H. Shapourian, K. Gomi, and S. Ryu, Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries, Phys. Rev. B 98
2018
Later among the works it cites.
O. Golan, C. Hoyos, and S. Moroz, Boundary central charge from bulk odd viscosity: Chiral superfluids, Phys. Rev. B 100
2019
Later among the works it cites.
J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, Direct observation of anyonic braiding statistics, Nature Physics 16
2020
Later among the works it cites.
A. Kapustin and L. Spodyneiko, Thermal hall conductance and a relative topological invariant of gapped two-dimensional systems, Phys. Rev. B 101
2020
Later among the works it cites.
B. Shi, K. Kato, and I. H. Kim, Fusion rules from entanglement, Ann. Phys. (N. Y). 418
2020
Later among the works it cites.
B. Shi, Verlinde formula from entanglement, Phys. Rev. Research 2
2020
Later among the works it cites.
O. Golan, A. Smith, and Z. Ringel, Intrinsic sign problem in fermionic and bosonic chiral topological matter, Phys. Rev. Res. 2
2020
Later among the works it cites.
S. Bachmann, A. Bols, W. De Roeck, and M. Fraas, A Many-Body Index for Quantum Charge Transport, Commun. Math. Phys. 375
2020
Later among the works it cites.
I. H. Kim, B. Shi, K. Kato, and V. V. Albert, Modular commutator in gapped quantum many-body systems, To appear (2021)
2021
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2021
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Z.-P. Cian, H. Dehghani, A. Elben, B. Vermersch, G. Zhu, M. Barkeshli, P. Zoller, and M. Hafezi, Many-body chern number from statistical correlations of randomized measurements, Phys. Rev. Lett. 126
2021
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H. Dehghani, Z.-P. Cian, M. Hafezi, and M. Barkeshli, Extraction of the many-body chern number from a single wave function, Phys. Rev. B 103
2021
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