-
1
-
-
0001962945
-
A method of calculation of electrical conductivity
-
H. Nakano, A method of calculation of electrical conductivity, Progr. Theoret. Phys. 15 (1956) 77-79.
-
(1956)
Progr. Theoret. Phys.
, vol.15
, pp. 77-79
-
-
Nakano, H.1
-
2
-
-
12344271673
-
Statistical-mechanical theory of irreversible processes, I. General theory and simple applications to magnetic and conduction problems
-
R. Kubo, Statistical-mechanical theory of irreversible processes, I. General theory and simple applications to magnetic and conduction problems, J. Phys. Soc. Jpn. 12 (1957) 570-586.
-
(1957)
J. Phys. Soc. Jpn.
, vol.12
, pp. 570-586
-
-
Kubo, R.1
-
3
-
-
33745141474
-
New method for high accuracy determination of the fine structure constant based on quantized Hall resistance
-
K. von 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) 494-497.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 494-497
-
-
Von Klitzing, K.1
Dorda, G.2
Pepper, M.3
-
4
-
-
0000506701
-
Temperature dependence of transverse and Hall conductivities of silicon MOS inversion layers under strong magnetic fields
-
eds. S. Chikazumi and N. Miura Springer, Berlin, Heidelberg, New York
-
S. Kawaji and J. Wakabayashi, Temperature dependence of transverse and Hall conductivities of silicon MOS inversion layers under strong magnetic fields, in Physics in High Magnetic Fields, eds. S. Chikazumi and N. Miura (Springer, Berlin, Heidelberg, New York, 1981), pp. 284-287.
-
Physics in High Magnetic Fields
, vol.1981
, pp. 284-287
-
-
Kawaji, S.1
Wakabayashi, J.2
-
5
-
-
3442880129
-
Quantized Hall conductance in a two-dimensional periodic potential
-
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) 405-408.
-
(1982)
Phys. Rev. Lett.
, vol.49
, pp. 405-408
-
-
Thouless, D.J.1
Kohmoto, M.2
Nightingale, M.P.3
Den Nijs, M.4
-
6
-
-
33646635283
-
Topological invariant and the quantization of the Hall conductance
-
M. Kohmoto, Topological invariant and the quantization of the Hall conductance, Ann. Phys. 160 (1985) 343-354.
-
(1985)
Ann. Phys.
, vol.160
, pp. 343-354
-
-
Kohmoto, M.1
-
7
-
-
0032516668
-
Localization bounds for an electron gas
-
M. Aizenman and G. M. Graf, Localization bounds for an electron gas, J. Phys. A31 (1998) 6783-6806.
-
(1998)
J. Phys.
, vol.A31
, pp. 6783-6806
-
-
Aizenman, M.1
Graf, G.M.2
-
8
-
-
21844487920
-
The noncommutative geometry of the quantum Hall effect
-
J. Bellissard, A. Van Elst and H. Schulz-Baldes, The noncommutative geometry of the quantum Hall effect, J. Math. Phys. 35 (1994) 5373-5451.
-
(1994)
J. Math. Phys.
, vol.35
, pp. 5373-5451
-
-
Bellissard, J.1
Van Elst, A.2
Schulz-Baldes, H.3
-
9
-
-
2442520303
-
Adiabatic charge transport and the Kubo formula for Landau type Hamiltonians
-
A. Elgart and B. Schlein, Adiabatic charge transport and the Kubo formula for Landau type Hamiltonians, Comm. Pure Appl. Math. 57 (2004) 590-615.
-
(2004)
Comm. Pure Appl. Math.
, vol.57
, pp. 590-615
-
-
Elgart, A.1
Schlein, B.2
-
10
-
-
0000798363
-
Ground states in a periodic field. Magnetic bloch functions and vector bundles
-
B. A. Dubrovin and S. P. Novikov, Ground states in a periodic field. Magnetic bloch functions and vector bundles, Soviet Math. Dokl. 22 (1980) 240-244; Ground states of a two-dimensional electron in a periodic magnetic field, Soviet Phys. JETP 52 (1980) 511-516; S. P. Novikov, Magnetic Bloch function and vector bundles. Typical dispersion laws and their quantum numbers, Soviet Math. Dokl. 23 (1981) 298-303.
-
(1980)
Soviet Math. Dokl.
, vol.22
, pp. 240-244
-
-
Dubrovin, B.A.1
Novikov, S.P.2
-
11
-
-
0001225877
-
Ground states of a two-dimensional electron in a periodic magnetic field
-
B. A. Dubrovin and S. P. Novikov, Ground states in a periodic field. Magnetic bloch functions and vector bundles, Soviet Math. Dokl. 22 (1980) 240-244; Ground states of a two-dimensional electron in a periodic magnetic field, Soviet Phys. JETP 52 (1980) 511-516; S. P. Novikov, Magnetic Bloch function and vector bundles. Typical dispersion laws and their quantum numbers, Soviet Math. Dokl. 23 (1981) 298-303.
-
(1980)
Soviet Phys. JETP
, vol.52
, pp. 511-516
-
-
-
12
-
-
0001505369
-
Magnetic Bloch function and vector bundles. Typical dispersion laws and their quantum numbers
-
B. A. Dubrovin and S. P. Novikov, Ground states in a periodic field. Magnetic bloch functions and vector bundles, Soviet Math. Dokl. 22 (1980) 240-244; Ground states of a two-dimensional electron in a periodic magnetic field, Soviet Phys. JETP 52 (1980) 511-516; S. P. Novikov, Magnetic Bloch function and vector bundles. Typical dispersion laws and their quantum numbers, Soviet Math. Dokl. 23 (1981) 298-303.
-
(1981)
Soviet Math. Dokl.
, vol.23
, pp. 298-303
-
-
Novikov, S.P.1
-
13
-
-
0000052706
-
The quantum Hall effect for electrons in a random potential
-
H. Kunz, The quantum Hall effect for electrons in a random potential, Commun. Math. Phys. 112 (1987) 121-145.
-
(1987)
Commun. Math. Phys.
, vol.112
, pp. 121-145
-
-
Kunz, H.1
-
14
-
-
0041368345
-
Quantum Hall effect and the relative index for projections
-
J. E. Avron, R. Seiler and B. Simon, Quantum Hall effect and the relative index for projections, Phys. Rev. Lett. 65 (1990) 2185-2188; Charge deficiency, charge transport and comparison of dimensions, Commun. Math. Phys. 159 (1994) 399-422.
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 2185-2188
-
-
Avron, J.E.1
Seiler, R.2
Simon, B.3
-
15
-
-
21344496244
-
Charge deficiency, charge transport and comparison of dimensions
-
J. E. Avron, R. Seiler and B. Simon, Quantum Hall effect and the relative index for projections, Phys. Rev. Lett. 65 (1990) 2185-2188; Charge deficiency, charge transport and comparison of dimensions, Commun. Math. Phys. 159 (1994) 399-422.
-
(1994)
Commun. Math. Phys.
, vol.159
, pp. 399-422
-
-
-
17
-
-
0003149290
-
Homotopy and quantization in condensed matter physics
-
J. E. Avron, R. Seiler and B. Simon, Homotopy and quantization in condensed matter physics, Phys. Rev. Lett. 51 (1983) 51-53.
-
(1983)
Phys. Rev. Lett.
, vol.51
, pp. 51-53
-
-
Avron, J.E.1
Seiler, R.2
Simon, B.3
-
18
-
-
0001345770
-
Holonomy, the quantum adiabatic theorem, and Berry's phase
-
B. Simon, Holonomy, the quantum adiabatic theorem, and Berry's phase, Phys. Rev. Lett. 51 (1983) 2167-2170.
-
(1983)
Phys. Rev. Lett.
, vol.51
, pp. 2167-2170
-
-
Simon, B.1
-
19
-
-
0039675161
-
Quantised Hall conductance in a perfect crystal
-
I. Dana, Y. Avron and J. Zak, Quantised Hall conductance in a perfect crystal, J. Phys. C18 (1985) L679-L683.
-
(1985)
J. Phys.
, vol.C18
-
-
Dana, I.1
Avron, Y.2
Zak, J.3
-
20
-
-
12844275974
-
Topological phenomena in two-dimensional electron systems
-
Tokyo
-
K. Ishikawa, Topological phenomena in two-dimensional electron systems, in Proc. 3rd Int. Symp. Foundations of Quantum Mechanics, Tokyo, 1989, pp. 70-79; N. Imai, K. Ishikawa, T. Matsuyama and I. Tanaka, Field theory in a strong magnetic field and the quantum Hall effect: Integer Hall effect, Phys. Rev. B42 (1990) 10610-10640.
-
(1989)
Proc. 3rd Int. Symp. Foundations of Quantum Mechanics
, pp. 70-79
-
-
Ishikawa, K.1
-
21
-
-
0001761463
-
Field theory in a strong magnetic field and the quantum Hall effect: Integer Hall effect
-
K. Ishikawa, Topological phenomena in two-dimensional electron systems, in Proc. 3rd Int. Symp. Foundations of Quantum Mechanics, Tokyo, 1989, pp. 70-79; N. Imai, K. Ishikawa, T. Matsuyama and I. Tanaka, Field theory in a strong magnetic field and the quantum Hall effect: Integer Hall effect, Phys. Rev. B42 (1990) 10610-10640.
-
(1990)
Phys. Rev.
, vol.B42
, pp. 10610-10640
-
-
Imai, N.1
Ishikawa, K.2
Matsuyama, T.3
Tanaka, I.4
-
22
-
-
0001593798
-
Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction
-
Q. Niu and D. J. Thouless, Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction, J. Phys. A17 (1984) 2453-2462.
-
(1984)
J. Phys.
, vol.A17
, pp. 2453-2462
-
-
Niu, Q.1
Thouless, D.J.2
-
23
-
-
0000944354
-
Quantized Hall conductance as a topological invariant
-
Q. Niu, D. J. Thouless and Y.-S. Wu, Quantized Hall conductance as a topological invariant, Phys. Rev. B31 (1985) 3372-3377.
-
(1985)
Phys. Rev.
, vol.B31
, pp. 3372-3377
-
-
Niu, Q.1
Thouless, D.J.2
Wu, Y.-S.3
-
24
-
-
0000935026
-
Quantization of the Hall conductance for general multi-particle Schrödinger Hamiltonians
-
J. E. Avron and R. Seiler, Quantization of the Hall conductance for general multi-particle Schrödinger Hamiltonians, Phys. Rev. Lett. 54 (1985) 259-262.
-
(1985)
Phys. Rev. Lett.
, vol.54
, pp. 259-262
-
-
Avron, J.E.1
Seiler, R.2
-
25
-
-
0002830401
-
Adiabatic theorems and applications to the quantum Hall effect
-
J. E. Avron, R. Seiler and L. G. Yaffe, Adiabatic theorems and applications to the quantum Hall effect, Commun. Math. Phys. 110 (1987) 33-49.
-
(1987)
Commun. Math. Phys.
, vol.110
, pp. 33-49
-
-
Avron, J.E.1
Seiler, R.2
Yaffe, L.G.3
-
26
-
-
35949019065
-
Two-dimensional magnetotransport in the extreme quantum limit
-
D. C. Tsui, H. L. Störmer and A. C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit, Phys. Rev. Lett. 48 (1982) 1559-1562.
-
(1982)
Phys. Rev. Lett.
, vol.48
, pp. 1559-1562
-
-
Tsui, D.C.1
Störmer, H.L.2
Gossard, A.C.3
-
27
-
-
4243821329
-
Fractional quantization of the Hall effect
-
H. L. Störmer, A. M. Chang, D. C. Tsui, J. C. M. Hwang, A. C. Gossard and W. Wiegmann, Fractional quantization of the Hall effect, Phys. Rev. Lett. 50 (1983) 1953-1956.
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 1953-1956
-
-
Störmer, H.L.1
Chang, A.M.2
Tsui, D.C.3
Hwang, J.C.M.4
Gossard, A.C.5
Wiegmann, W.6
-
28
-
-
13144280693
-
Observation of an even-denominator quantum number in the fractional quantum Hall effect
-
R. Willett, J. P. Eisenstein, H. L. Störmer, D. C. Tsui, A. C. Gossard and J. H. English, Observation of an even-denominator quantum number in the fractional quantum Hall effect, Phys. Rev. Lett. 59 (1987) 1776-1779.
-
(1987)
Phys. Rev. Lett.
, vol.59
, pp. 1776-1779
-
-
Willett, R.1
Eisenstein, J.P.2
Störmer, H.L.3
Tsui, D.C.4
Gossard, A.C.5
English, J.H.6
-
29
-
-
0000040499
-
Gauge invariance and fractional quantum Hall effect
-
R. Tao and Y.-S. Wu, Gauge invariance and fractional quantum Hall effect, Phys. Rev. B30 (1984) 1097-1098.
-
(1984)
Phys. Rev.
, vol.B30
, pp. 1097-1098
-
-
Tao, R.1
Wu, Y.-S.2
-
30
-
-
25944451547
-
Impurity effect, degeneracy, and topological invariant in the quantum Hall effect
-
R. Tao and F. D. M. Haldane, Impurity effect, degeneracy, and topological invariant in the quantum Hall effect, Phys. Rev. B33 (1986) 3844-3850.
-
(1986)
Phys. Rev.
, vol.B33
, pp. 3844-3850
-
-
Tao, R.1
Haldane, F.D.M.2
-
31
-
-
4243693120
-
Diophantine equation for the Hall conductance of interacting electrons on a torus
-
J. E. Avron and L. G. Yaffe, Diophantine equation for the Hall conductance of interacting electrons on a torus, Phys. Rev. Lett. 56 (1986) 2084-2087.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 2084-2087
-
-
Avron, J.E.1
Yaffe, L.G.2
-
32
-
-
0001105814
-
Ground state of two-dimensional electrons in strong magnetic fields and 1/3 quantized Hall effect
-
D. Yoshioka, B. I. Halperin and P. A. Lee, Ground state of two-dimensional electrons in strong magnetic fields and 1/3 quantized Hall effect, Phys. Rev. Lett. 50 (1983) 1219-1222; The ground state of the 2D electrons in a strong magnetic field and the anomalous quantized Hall effect, Surf. Sci. 142 (1984) 155-162.
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 1219-1222
-
-
Yoshioka, D.1
Halperin, B.I.2
Lee, P.A.3
-
33
-
-
12844253775
-
The ground state of the 2D electrons in a strong magnetic field and the anomalous quantized Hall effect
-
D. Yoshioka, B. I. Halperin and P. A. Lee, Ground state of two-dimensional electrons in strong magnetic fields and 1/3 quantized Hall effect, Phys. Rev. Lett. 50 (1983) 1219-1222; The ground state of the 2D electrons in a strong magnetic field and the anomalous quantized Hall effect, Surf. Sci. 142 (1984) 155-162.
-
(1984)
Surf. Sci.
, vol.142
, pp. 155-162
-
-
-
34
-
-
0001343202
-
Ground state of the two-dimensional charged particles in a strong magnetic field and the fractional quantum Hall effect
-
D. Yoshioka,, Ground state of the two-dimensional charged particles in a strong magnetic field and the fractional quantum Hall effect, Phys. Rev. B29 (1984) 6833-6839.
-
(1984)
Phys. Rev.
, vol.B29
, pp. 6833-6839
-
-
Yoshioka, D.1
-
35
-
-
33744629545
-
Ground-state degeneracy and fractionally charged excitations in the anomalous quantum Hall effect
-
W. P. Su, Ground-state degeneracy and fractionally charged excitations in the anomalous quantum Hall effect, Phys. Rev. B30 (1984) 1069-1072.
-
(1984)
Phys. Rev.
, vol.B30
, pp. 1069-1072
-
-
Su, W.P.1
-
36
-
-
0034339870
-
Spectral gaps of quantum Hall systems with interactions
-
T. Koma, Spectral gaps of quantum Hall systems with interactions, J. Stat. Phys. 99 (2000) 313-381.
-
(2000)
J. Stat. Phys.
, vol.99
, pp. 313-381
-
-
Koma, T.1
-
37
-
-
0034164999
-
Insensitivity of quantized Hall conductance to disorder and interactions
-
T. Koma, Insensitivity of quantized Hall conductance to disorder and interactions, J. Stat. Phys. 99 (2000) 383-459.
-
(2000)
J. Stat. Phys.
, vol.99
, pp. 383-459
-
-
Koma, T.1
-
38
-
-
0000616427
-
Universality in quantum Hall systems
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1991)
Nucl. Phys.
, vol.B354
, pp. 369-417
-
-
Fröhlich, J.1
Kerler, T.2
-
39
-
-
0039956654
-
Large scale physics of the quantum Hall fluid
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1991)
Nucl. Phys.
, vol.B364
, pp. 517-540
-
-
Fröhlich, J.1
Zee, A.2
-
40
-
-
0000616427
-
Gauge invariance in non-relativistic many body theory
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1992)
Int. J. Mod. Phys.
, vol.B6
, pp. 2201-2208
-
-
Fröhlich, J.1
Studer, U.M.2
-
41
-
-
0039592468
-
U(1) X SU(2) - Gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1992)
Commun. Math. Phys.
, vol.148
, pp. 553-600
-
-
-
42
-
-
35949004804
-
Gauge invariance and current algebra in non-relativistic many-body theory
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 733-802
-
-
-
43
-
-
21844526807
-
Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1994)
J. Stat. Phys.
, vol.76
, pp. 209-283
-
-
Fröhlich, J.1
Thiran, E.2
-
44
-
-
0000972949
-
Structuring the set of incompressible quantum Hall fluids
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1995)
Nucl. Phys.
, vol.B453
, pp. 670-704
-
-
Fröhlich, J.1
Kerler, T.2
Studer, U.M.3
Thiran, E.4
-
45
-
-
0031065015
-
A classification of quantum Hall fluid
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(1997)
J. Stat. Phys.
, vol.86
, pp. 821-897
-
-
Fröhlich, J.1
Studer, U.M.2
Thiran, E.3
-
46
-
-
0035343564
-
Universality in quantum Hall systems: Coset construction of incompressible states
-
J. Fröhlich and T. Kerler, Universality in quantum Hall systems, Nucl. Phys. B354 (1991) 369-417; J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, ibid. B364 (1991) 517-540; J. Fröhlich and U. M. Studer, Gauge invariance in non-relativistic many body theory, Int. J. Mod. Phys. B6 (1992) 2201-2208; U(1) X SU(2) - gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects, Commun. Math. Phys. 148 (1992) 553-600; Gauge invariance and current algebra in non-relativistic many-body theory, Rev. Mod. Phys. 65 (1993) 733-802; J. Fröhlich and E. Thiran, Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect, J. Stat. Phys. 76 (1994) 209-283; J. Fröhlich, T. Kerler, U. M. Studer and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B453 (1995) 670-704; J. Fröhlich, U. M. Studer and E. Thiran, A classification of quantum Hall fluid, J. Stat. Phys. 86 (1997) 821-897; J. Fröhlich, B. Pedrini, C. Schweigert and J. Walcher, Universality in quantum Hall systems: Coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527-567.
-
(2001)
J. Stat. Phys.
, vol.103
, pp. 527-567
-
-
Fröhlich, J.1
Pedrini, B.2
Schweigert, C.3
Walcher, J.4
-
48
-
-
0007137018
-
Geometric invariants of the quantum Hall effect
-
J. Xia, Geometric invariants of the quantum Hall effect, Commun. Math. Phys. 119 (1988) 29-50.
-
(1988)
Commun. Math. Phys.
, vol.119
, pp. 29-50
-
-
Xia, J.1
-
49
-
-
0000346824
-
Calculation of the Hall conductivity by adiabatic approximation
-
F. Nakano, Calculation of the Hall conductivity by adiabatic approximation, J. Math. Sci. Univ. Tokyo 4 (1997) 351-371; Calculation of the Hall conductivity by Abel limit, Ann. Inst. H. Poincaré 69 (1998) 441-455.
-
(1997)
J. Math. Sci. Univ. Tokyo
, vol.4
, pp. 351-371
-
-
Nakano, F.1
-
50
-
-
12844278812
-
Calculation of the Hall conductivity by Abel limit
-
F. Nakano, Calculation of the Hall conductivity by adiabatic approximation, J. Math. Sci. Univ. Tokyo 4 (1997) 351-371; Calculation of the Hall conductivity by Abel limit, Ann. Inst. H. Poincaré 69 (1998) 441-455.
-
(1998)
Ann. Inst. H. Poincaré
, vol.69
, pp. 441-455
-
-
-
51
-
-
0038286423
-
Quantum Hall conductivity in a Landau type model with a realistic geometry
-
F. Chandelier, Y. Georgelin, T. Masson and J.-C. Wallet, Quantum Hall conductivity in a Landau type model with a realistic geometry, Ann. Phys. 305 (2003) 60-78.
-
(2003)
Ann. Phys.
, vol.305
, pp. 60-78
-
-
Chandelier, F.1
Georgelin, Y.2
Masson, T.3
Wallet, J.-C.4
-
52
-
-
0000702538
-
Quantum Hall effect with realistic boundary conditions
-
Q. Niu and D. J. Thouless, Quantum Hall effect with realistic boundary conditions, Phys. Rev. B35 (1987) 2188-2197.
-
(1987)
Phys. Rev.
, vol.B35
, pp. 2188-2197
-
-
Niu, Q.1
Thouless, D.J.2
-
53
-
-
0004095226
-
-
Lezioni Fermiane, Accad. Naz. Lincei & Scuola Norm. Sup. Pisa
-
M. F. Atiyah, Geometry of Yang-Mills Fields, Lezioni Fermiane, Accad. Naz. Lincei & Scuola Norm. Sup. Pisa, 1979.
-
(1979)
Geometry of Yang-Mills Fields
-
-
Atiyah, M.F.1
-
55
-
-
0003744384
-
-
CRC Press, Boca Raton
-
P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, 2nd edn. (CRC Press, Boca Raton, 1995).
-
(1995)
Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, 2nd Edn.
-
-
Gilkey, P.B.1
-
57
-
-
36149008019
-
Magnetic translation group
-
J. Zak, Magnetic translation group, Phys. Rev. 134 (1964) A1602-A1606; Magnetic translation group. II. Irreducible representations, ibid. 134 (1964) A1607-A1611.
-
(1964)
Phys. Rev.
, vol.134
-
-
Zak, J.1
-
58
-
-
36149005273
-
Magnetic translation group. II. Irreducible representations
-
J. Zak, Magnetic translation group, Phys. Rev. 134 (1964) A1602-A1606; Magnetic translation group. II. Irreducible representations, ibid. 134 (1964) A1607-A1611.
-
(1964)
Phys. Rev.
, vol.134
-
-
-
59
-
-
4644355301
-
The Boltzmann equation in the theory of electrical conduction in metals
-
D. A. Greenwood, The Boltzmann equation in the theory of electrical conduction in metals, Proc. Phys. Soc. 71 (1958) 585-596.
-
(1958)
Proc. Phys. Soc.
, vol.71
, pp. 585-596
-
-
Greenwood, D.A.1
-
60
-
-
0033236866
-
Absence of transport under a slowly varying potential in disordered systems
-
F. Nakano and M. Kaminaga, Absence of transport under a slowly varying potential in disordered systems, J. Stat. Phys. 97 (1999) 917.
-
(1999)
J. Stat. Phys.
, vol.97
, pp. 917
-
-
Nakano, F.1
Kaminaga, M.2
-
61
-
-
0000239791
-
Low energy bands do not contribute to quantum Hall effect
-
S. Nakamura and J. Bellissard, Low energy bands do not contribute to quantum Hall effect, Commun. Math. Phys. 31 (1990) 283-305.
-
(1990)
Commun. Math. Phys.
, vol.31
, pp. 283-305
-
-
Nakamura, S.1
Bellissard, J.2
-
62
-
-
0003862232
-
-
Springer, Berlin, Heidelberg, New York
-
T. Kato, Perturbation Theory for Linear Operators, 2nd edn. (Springer, Berlin, Heidelberg, New York, 1980).
-
(1980)
Perturbation Theory for Linear Operators, 2nd Edn.
-
-
Kato, T.1
-
63
-
-
0000744112
-
Linear Evolution Equations of "Hyperbolic" Type I
-
T. Kato, Linear Evolution Equations of "Hyperbolic" Type I, J. Fac. Sci. Univ. Tokyo, Sec. I A17 (1970) 241-258; Linear Evolution Equations of "Hyperbolic" Type II, J. Math. Soc. Japan. 25 (1973) 648-666.
-
(1970)
J. Fac. Sci. Univ. Tokyo, Sec. I
, vol.A17
, pp. 241-258
-
-
Kato, T.1
-
64
-
-
84972511083
-
Linear Evolution Equations of "Hyperbolic" Type II
-
T. Kato, Linear Evolution Equations of "Hyperbolic" Type I, J. Fac. Sci. Univ. Tokyo, Sec. I A17 (1970) 241-258; Linear Evolution Equations of "Hyperbolic" Type II, J. Math. Soc. Japan. 25 (1973) 648-666.
-
(1973)
J. Math. Soc. Japan.
, vol.25
, pp. 648-666
-
-
-
65
-
-
4243648786
-
Path Integral for Gauge Theories with Fermions
-
K. Fujikawa, Path Integral for Gauge Theories with Fermions, Phys. Rev. D21 (1980) 2848-2858.
-
(1980)
Phys. Rev.
, vol.D21
, pp. 2848-2858
-
-
Fujikawa, K.1
-
66
-
-
0003937747
-
-
Academic Press, New York
-
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. IV, Analysis of Operators (Academic Press, New York, 1978).
-
(1978)
Methods of Modern Mathematical Physics, Vol. IV, Analysis of Operators
, vol.4
-
-
Reed, M.1
Simon, B.2
-
67
-
-
4243879854
-
Spin-correlations and low lying excited states of the spin-1/2 Heisenberg antiferromagnet on a square lattice
-
P. Horsch and W. von der Linden, Spin-correlations and low lying excited states of the spin-1/2 Heisenberg antiferromagnet on a square lattice, Z. Phys. B72 (1988) 181-193.
-
(1988)
Z. Phys.
, vol.B72
, pp. 181-193
-
-
Horsch, P.1
Von Der Linden, W.2
-
68
-
-
21844499949
-
Symmetry breaking and finite-size effects in quantum many-body systems
-
T. Koma and H. Tasaki, Symmetry breaking and finite-size effects in quantum many-body systems, J. Stat. Phys. 76 (1994) 745-803.
-
(1994)
J. Stat. Phys.
, vol.76
, pp. 745-803
-
-
Koma, T.1
Tasaki, H.2
|