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K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980); For recent reviews see, e.g., The Quantum Hall Effect, edited by R. E. Prange and S. M. Grivin (Springer, New York, 1990); Quantum Hall Effect, edited by M. Stone (World Scientific, Singapore, 1992); M. Janssen, O. Viehweger, U. Fastenrath, and J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect (VCH, Weinheim, 1994).
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Prange, R.E.1
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K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980); For recent reviews see, e.g., The Quantum Hall Effect, edited by R. E. Prange and S. M. Grivin (Springer, New York, 1990); Quantum Hall Effect, edited by M. Stone (World Scientific, Singapore, 1992); M. Janssen, O. Viehweger, U. Fastenrath, and J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect (VCH, Weinheim, 1994).
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Stone, M.1
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33745141474
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VCH, Weinheim
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K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980); For recent reviews see, e.g., The Quantum Hall Effect, edited by R. E. Prange and S. M. Grivin (Springer, New York, 1990); Quantum Hall Effect, edited by M. Stone (World Scientific, Singapore, 1992); M. Janssen, O. Viehweger, U. Fastenrath, and J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect (VCH, Weinheim, 1994).
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Janssen, M.1
Viehweger, O.2
Fastenrath, U.3
Hajdu, J.4
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7
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0010167470
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See, e.g., recently published papers and the references therein: P. Kleinert and V. V. Bryskin, Phys. Rev. B 55, 1469 (1997); V. A. Geyler and V. A. Margulis, ibid. 55, 2543 (1997); Q. W. Shi and K. Y. Szeto, ibid. 55, 4558 (1997).
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Phys. Rev. B
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Kleinert, P.1
Bryskin, V.V.2
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0000602685
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See, e.g., recently published papers and the references therein: P. Kleinert and V. V. Bryskin, Phys. Rev. B 55, 1469 (1997); V. A. Geyler and V. A. Margulis, ibid. 55, 2543 (1997); Q. W. Shi and K. Y. Szeto, ibid. 55, 4558 (1997).
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Phys. Rev. B
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Geyler, V.A.1
Margulis, V.A.2
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9
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0007088276
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See, e.g., recently published papers and the references therein: P. Kleinert and V. V. Bryskin, Phys. Rev. B 55, 1469 (1997); V. A. Geyler and V. A. Margulis, ibid. 55, 2543 (1997); Q. W. Shi and K. Y. Szeto, ibid. 55, 4558 (1997).
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Phys. Rev. B
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Shi, Q.W.1
Szeto, K.Y.2
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A. Kol and N. Read, Phys. Rev. B 48, 8890 (1993); O. Steffens, M. Suhrke, and P. Rotter, ibid. 55, 4486 (1997); E. I. Rashba, L. E. Zhukov, and A. L. Efros, ibid 55, 5306 (1997); K. Ishikawa, N. Maeda, T. Ochiai, and H. Suzuki, cond-mat/9704023.
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Kol, A.1
Read, N.2
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A. Kol and N. Read, Phys. Rev. B 48, 8890 (1993); O. Steffens, M. Suhrke, and P. Rotter, ibid. 55, 4486 (1997); E. I. Rashba, L. E. Zhukov, and A. L. Efros, ibid 55, 5306 (1997); K. Ishikawa, N. Maeda, T. Ochiai, and H. Suzuki, cond-mat/9704023.
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A. Kol and N. Read, Phys. Rev. B 48, 8890 (1993); O. Steffens, M. Suhrke, and P. Rotter, ibid. 55, 4486 (1997); E. I. Rashba, L. E. Zhukov, and A. L. Efros, ibid 55, 5306 (1997); K. Ishikawa, N. Maeda, T. Ochiai, and H. Suzuki, cond-mat/9704023.
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Phys. Rev. B
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Rashba, E.I.1
Zhukov, L.E.2
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cond-mat/9704023
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A. Kol and N. Read, Phys. Rev. B 48, 8890 (1993); O. Steffens, M. Suhrke, and P. Rotter, ibid. 55, 4486 (1997); E. I. Rashba, L. E. Zhukov, and A. L. Efros, ibid 55, 5306 (1997); K. Ishikawa, N. Maeda, T. Ochiai, and H. Suzuki, cond-mat/9704023.
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Ishikawa, K.1
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36149027030
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E. Brown, Bull. Am. Phys. Soc. 8, 256 (1963); Phys. Rev. 133, A1038 (1964).
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Phys. Rev.
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0026173879
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More detailed discussion on central extensions was presented in P. P. Divakaran, A. K. Rajagopal, Physica C 176, 457 (1991); P. P. Divakaran, Rev. Math. Phys. 6, 167 (1994); M. S. Raghanathan, ibid. 6, 207 (1994).
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Divakaran, P.P.1
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0026173879
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More detailed discussion on central extensions was presented in P. P. Divakaran, A. K. Rajagopal, Physica C 176, 457 (1991); P. P. Divakaran, Rev. Math. Phys. 6, 167 (1994); M. S. Raghanathan, ibid. 6, 207 (1994).
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Divakaran, P.P.1
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0026173879
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More detailed discussion on central extensions was presented in P. P. Divakaran, A. K. Rajagopal, Physica C 176, 457 (1991); P. P. Divakaran, Rev. Math. Phys. 6, 167 (1994); M. S. Raghanathan, ibid. 6, 207 (1994).
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Raghanathan, M.S.1
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25
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33748067017
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The most spectacular and the best known is the Aharonov-Bohm effect [Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959); Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987) ] but some new ideas have been presented lately by F. Ghaboussi, quant-ph/9702054, cond-mat/9701128, cond-mat/9703080, cond-mat/9705108.
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The most spectacular and the best known is the Aharonov-Bohm effect [Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959); Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987) ] but some new ideas have been presented lately by F. Ghaboussi, quant-ph/9702054, cond-mat/9701128, cond-mat/9703080, cond-mat/9705108.
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85033901559
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note
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In this work it is assumed, as in Brown's paper, that the charge of an electron is -e, i.e., e>0. Zak used e<0, so some of his formulas differ in sign from Brown's ones, but in fact are identical. However, we use H to denote the magnetic field, as Zak did, while Brown used B.
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32
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2842523927
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M. Ya. Azbel, Zh. Eksp. Teor. Fiz. 44, 980 (1963) [Sov. Phys. JETP 17, 665 (1963)].
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Sov. Phys. JETP
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34
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85033899119
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note
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3 elements is considered [b is defined in the text below (13)].
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