-
1
-
-
28844477796
-
Quantum Spin hall effect in graphene
-
DOI 10.1103/PhysRevLett.95.226801, 226801
-
Kane C L and Mele E J 2005 Quantum spin Hall effect in graphene Phys. Rev. Lett. 95 226801 (Pubitemid 41776999)
-
(2005)
Physical Review Letters
, vol.95
, Issue.22
, pp. 1-4
-
-
Kane, C.L.1
Mele, E.J.2
-
2
-
-
28844477210
-
Z2 topological order and the quantum spin hall effect
-
DOI 10.1103/PhysRevLett.95.146802, 146802
-
Kane C L and Mele E J 2005 Z2 topological order and the quantum spin Hall effect Phys. Rev. Lett. 95 146802 (Pubitemid 41777602)
-
(2005)
Physical Review Letters
, vol.95
, Issue.14
, pp. 1-4
-
-
Kane, C.L.1
Mele, E.J.2
-
3
-
-
33845708953
-
Quantum spin hall effect and topological phase transition in HgTe quantum wells
-
DOI 10.1126/science.1133734
-
Bernevig B A, Hughes T L and Zhang S-C 2006 Quantum spin Hall effect and topological phase transition in HgTe quantum wells Science 314 1757 (Pubitemid 44969083)
-
(2006)
Science
, vol.314
, Issue.5806
, pp. 1757-1761
-
-
Bernevig, B.A.1
Hughes, T.L.2
Zhang, S.-C.3
-
4
-
-
33847795859
-
Topological insulators in three dimensions
-
DOI 10.1103/PhysRevLett.98.106803
-
Fu L, Kane C L and Mele E J 2007 Topological insulators in three dimensions Phys. Rev. Lett. 98 106803 (Pubitemid 46393379)
-
(2007)
Physical Review Letters
, vol.98
, Issue.10
, pp. 106803
-
-
Fu, L.1
Kane, C.L.2
Mele, E.J.3
-
5
-
-
33947696243
-
Topological invariants of time-reversal-invariant band structures
-
10.1103/PhysRevB.75.121306 B
-
Moore J E and Balents L 2007 Topological invariants of time-reversal-invariant band structures Phys. Rev. B 75 121306(R)
-
(2007)
Phys. Rev.
, vol.75
-
-
Moore, J.E.1
Balents, L.2
-
6
-
-
67649407761
-
Topological phases and the quantum spin Hall effect in three dimensions
-
10.1103/PhysRevB.79.195322 B 195322
-
Roy R 2009 Topological phases and the quantum spin Hall effect in three dimensions Phys. Rev. B 79 195322
-
(2009)
Phys. Rev.
, vol.79
-
-
Roy, R.1
-
7
-
-
57249108445
-
Topological field theory of time-reversal invariant insulators
-
10.1103/PhysRevB.78.195424 B 195424
-
Qi X-L, Hughes T L and Zhang S-C 2008 Topological field theory of time-reversal invariant insulators Phys. Rev. B 78 195424
-
(2008)
Phys. Rev.
, vol.78
-
-
Qi, X.-L.1
Hughes, T.L.2
Zhang, S.-C.3
-
8
-
-
57249110726
-
Classification of topological insulators and superconductors in three spatial dimensions
-
10.1103/PhysRevB.78.195125 B 195125
-
Schnyder A P, Ryu S, Furusaki A and Ludwig A W W 2008 Classification of topological insulators and superconductors in three spatial dimensions Phys. Rev. B 78 195125
-
(2008)
Phys. Rev.
, vol.78
-
-
Schnyder, A.P.1
Ryu, S.2
Furusaki, A.3
Ludwig, A.W.W.4
-
9
-
-
78349239882
-
Colloquium: Topological insulators
-
10.1103/RevModPhys.82.3045 0034-6861
-
Hasan M Z and Kane C L 2010 Colloquium: topological insulators Rev. Mod. Phys. 82 3045
-
(2010)
Rev. Mod. Phys.
, vol.82
, pp. 3045
-
-
Hasan, M.Z.1
Kane, C.L.2
-
10
-
-
80054934761
-
Topological insulators and superconductors
-
10.1103/RevModPhys.83.1057 0034-6861
-
Qi X-L and Zhang S-C 2011 Topological insulators and superconductors Rev. Mod. Phys. 83 1057
-
(2011)
Rev. Mod. Phys.
, vol.83
, pp. 1057
-
-
Qi, X.-L.1
Zhang, S.-C.2
-
11
-
-
84855365665
-
Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
-
10.1103/PhysRevB.84.235141 B 235141
-
Chen X, Liu Z-X and Wen X-G 2011 Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations Phys. Rev. B 84 235141
-
(2011)
Phys. Rev.
, vol.84
-
-
Chen, X.1
Liu, Z.-X.2
Wen, X.-G.3
-
12
-
-
84876169194
-
Symmetry protected topological orders and the group cohomology of their symmetry group
-
10.1103/PhysRevB.87.155114 B 155114
-
Chen X, Gu Z-C, Liu Z-X and Wen X-G 2013 Symmetry protected topological orders and the group cohomology of their symmetry group Phys. Rev. B 87 155114
-
(2013)
Phys. Rev.
, vol.87
-
-
Chen, X.1
Gu, Z.-C.2
Liu, Z.-X.3
Wen, X.-G.4
-
13
-
-
84885121248
-
-
Kitaev A 2011 http://online.kitp.ucsb.edu/online/topomat11/kitaev
-
(2011)
-
-
Kitaev, A.1
-
14
-
-
84866382683
-
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
-
10.1103/PhysRevB.86.125119 B 125119
-
Lu Y-M and Vishwanath A 2012 Theory and classification of interacting integer topological phases in two dimensions: a Chern-Simons approach Phys. Rev. B 86 125119
-
(2012)
Phys. Rev.
, vol.86
-
-
Lu, Y.-M.1
Vishwanath, A.2
-
15
-
-
84875334666
-
Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect
-
10.1103/PhysRevX.3.011016 X 011016
-
Vishwanath A and Senthil T 2013 Physics of three-dimensional bosonic topological insulators: surface-deconfined criticality and quantized magnetoelectric effect Phys. Rev. X 3 011016
-
(2013)
Phys. Rev.
, vol.3
-
-
Vishwanath, A.1
Senthil, T.2
-
16
-
-
40849098643
-
Superconducting proximity effect and majorana fermions at the surface of a topological insulator
-
DOI 10.1103/PhysRevLett.100.096407
-
Fu L and Kane C L 2008 Superconducting proximity effect and Majorana fermions at the surface of a topological insulator Phys. Rev. Lett. 100 096407 (Pubitemid 351399080)
-
(2008)
Physical Review Letters
, vol.100
, Issue.9
, pp. 096407
-
-
Fu, L.1
Kane, C.L.2
-
17
-
-
84878561147
-
Quasi-topological phases of matter and topological protection
-
10.1103/PhysRevB.87.195451 B 195451
-
Bonderson P and Nayak C 2013 Quasi-topological phases of matter and topological protection Phys. Rev. B 87 195451
-
(2013)
Phys. Rev.
, vol.87
-
-
Bonderson, P.1
Nayak, C.2
-
18
-
-
1842460762
-
Nonabelions in the fractional quantum Hall effect
-
10.1016/0550-3213(91)90407-O 0550-3213 B
-
Moore G and Read N 1991 Nonabelions in the fractional quantum Hall effect Nucl. Phys. B 360 362
-
(1991)
Nucl. Phys.
, vol.360
, pp. 362
-
-
Moore, G.1
Read, N.2
-
20
-
-
0030592675
-
n-1-dimensional spinor braiding statistics in paired quantum hall states
-
DOI 10.1016/0550-3213(96)00430-0, PII S0550321396004300
-
Nayak C and Wilczek F 1996 2n-quasihole states realize 2(n-1)-dimensional spinor braiding statistics in paired quantum Hall states Nucl. Phys. B 479 529 (Pubitemid 126161210)
-
(1996)
Nuclear Physics B
, vol.479
, Issue.3
, pp. 529-553
-
-
Nayak, C.1
Wilczek, F.2
-
21
-
-
79961111766
-
Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states
-
10.1103/PhysRevB.83.075303 B 075303
-
Bonderson P, Gurarie V and Nayak C 2011 Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states Phys. Rev. B 83 075303
-
(2011)
Phys. Rev.
, vol.83
-
-
Bonderson, P.1
Gurarie, V.2
Nayak, C.3
-
22
-
-
30444456387
-
Anyons in an exactly solved model and beyond
-
DOI 10.1016/j.aop.2005.10.005, PII S0003491605002381
-
Kitaev A Y 2006 Anyons in an exactly solved model and beyond Ann. Phys. 321 2 (Pubitemid 43072824)
-
(2006)
Annals of Physics
, vol.321
, Issue.1
, pp. 2-111
-
-
Kitaev, A.1
-
23
-
-
0002270591
-
Theory of the quantized Hall conductance
-
0018-0238
-
Halperin B I 1983 Theory of the quantized Hall conductance Helv. Phys. Acta 56 75
-
(1983)
Helv. Phys. Acta
, vol.56
, pp. 75
-
-
Halperin, B.I.1
-
24
-
-
78650359235
-
-
Bonderson P H 2007 Non-Abelian anyons and interferometry PhD Thesis California Institute of Technology
-
(2007)
PhD Thesis
-
-
Bonderson, P.H.1
-
26
-
-
75949127424
-
Majorana fermions and non-Abelian statistics in three dimensions
-
10.1103/PhysRevLett.104.046401 046401
-
Teo J C Y and Kane C L 2010 Majorana fermions and non-Abelian statistics in three dimensions Phys. Rev. Lett. 104 046401
-
(2010)
Phys. Rev. Lett.
, vol.104
-
-
Teo, J.C.Y.1
Kane, C.L.2
-
27
-
-
79961064524
-
Projective ribbon permutation statistics: A remnant of non-abelian braiding in higher dimensions
-
10.1103/PhysRevB.83.115132 B 115132
-
Freedman M, Hastings M B, Nayak C, Qi X-L, Walker K and Wang Z 2011 Projective ribbon permutation statistics: a remnant of non-abelian braiding in higher dimensions Phys. Rev. B 83 115132
-
(2011)
Phys. Rev.
, vol.83
-
-
Freedman, M.1
Hastings, M.B.2
Nayak, C.3
Qi, X.-L.4
Walker, K.5
Wang, Z.6
-
28
-
-
84855416330
-
Weakly coupled non-abelian anyons in three dimensions
-
10.1103/PhysRevB.84.245119 B 245119
-
Freedman M, Hastings M B, Nayak C and Qi X-L 2011 Weakly coupled non-abelian anyons in three dimensions Phys. Rev. B 84 245119
-
(2011)
Phys. Rev.
, vol.84
-
-
Freedman, M.1
Hastings, M.B.2
Nayak, C.3
Qi, X.-L.4
-
29
-
-
60349131584
-
Condensate-induced transitions between topologically ordered phases
-
10.1103/PhysRevB.79.045316 B 045316
-
Bais F A and Slingerland J K 2009 Condensate-induced transitions between topologically ordered phases Phys. Rev. B 79 045316
-
(2009)
Phys. Rev.
, vol.79
-
-
Bais, F.A.1
Slingerland, J.K.2
-
32
-
-
22244440948
-
Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations
-
10.1103/PhysRevLett.50.1395 0031-9007
-
Laughlin R B 1983 Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations Phys. Rev. Lett. 50 1395
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 1395
-
-
Laughlin, R.B.1
-
33
-
-
0000040499
-
Gauge invariance and fractional quantum Hall effect
-
10.1103/PhysRevB.30.1097 0163-1829 B
-
Tao R and Wu Y-S 1984 Gauge invariance and fractional quantum Hall effect Phys. Rev. B 30 1097
-
(1984)
Phys. Rev.
, vol.30
, pp. 1097
-
-
Tao, R.1
Wu, Y.-S.2
-
34
-
-
84867031920
-
Classification and analysis of two-dimensional abelian fractional topological insulators
-
10.1103/PhysRevB.86.115131 B 115131
-
Levin M and Stern A 2012 Classification and analysis of two-dimensional abelian fractional topological insulators Phys. Rev. B 86 115131
-
(2012)
Phys. Rev.
, vol.86
-
-
Levin, M.1
Stern, A.2
-
37
-
-
0009085178
-
Consequences of gauge-invariance for fractionally charged quasiparticles
-
10.1016/0370-2693(85)91359-0 0370-2693 B
-
Kivelson S and Rocek M 1985 Consequences of gauge-invariance for fractionally charged quasiparticles Phys. Lett. B 156 85
-
(1985)
Phys. Lett.
, vol.156
, pp. 85
-
-
Kivelson, S.1
Rocek, M.2
-
39
-
-
84856462851
-
An optical-lattice-based quantum simulator for relativistic field theories and topological insulators
-
10.1088/1367-2630/14/1/015007 1367-2630 015007
-
Mazza L, Bermudez A, Goldman N, Rizzi M, Martin-Delgado M A and Lewenstein M 2012 An optical-lattice-based quantum simulator for relativistic field theories and topological insulators New J. Phys. 14 015007
-
(2012)
New J. Phys.
, vol.14
, Issue.1
-
-
Mazza, L.1
Bermudez, A.2
Goldman, N.3
Rizzi, M.4
Martin-Delgado, M.A.5
Lewenstein, M.6
-
41
-
-
0003146836
-
Natural associativity and commutativity
-
0035-4996
-
MacLane S 1963 Natural associativity and commutativity Rice Univ. Stud. 49 28
-
(1963)
Rice Univ. Stud.
, vol.49
, pp. 28
-
-
Maclane, S.1
-
42
-
-
0000680015
-
Topological gauge theories and group cohomology
-
10.1007/BF02096988 0010-3616
-
Dijkgraaf R and Witten E 1990 Topological gauge theories and group cohomology Commun. Math. Phys. 129 393
-
(1990)
Commun. Math. Phys.
, vol.129
, pp. 393
-
-
Dijkgraaf, R.1
Witten, E.2
|