메뉴 건너뛰기




Volumn 86, Issue 3-4, 1997, Pages 821-897

A classification of quantum Hall fluids

Author keywords

Classification of universality classes of quantum Hall fluids; Integral lattices; Lattice embeddings; Phase transitions; Quadratic forms; Quantum Hall effect

Indexed keywords


EID: 0031065015     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02199122     Document Type: Article
Times cited : (49)

References (80)
  • 1
    • 33745141474 scopus 로고
    • K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45:494 (1980); D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. B 48:1559 (1982); for reviews, see, e.g., R. E. Prange and S. M. Girvin, eds., The Quantum Hall Effect, 2nd ed. (Springer, New York, 1990); T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer, Berlin, 1988); M. Stone, ed., Quantum Hall Effect (World Scientific, Singapore, 1992).
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 494
    • Von Klitzing, K.1    Dorda, G.2    Pepper, M.3
  • 2
    • 35949019065 scopus 로고
    • K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45:494 (1980); D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. B 48:1559 (1982); for reviews, see, e.g., R. E. Prange and S. M. Girvin, eds., The Quantum Hall Effect, 2nd ed. (Springer, New York, 1990); T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer, Berlin, 1988); M. Stone, ed., Quantum Hall Effect (World Scientific, Singapore, 1992).
    • (1982) Phys. Rev. B , vol.48 , pp. 1559
    • Tsui, D.C.1    Stormer, H.L.2    Gossard, A.C.3
  • 3
    • 33745141474 scopus 로고
    • Springer, New York
    • K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45:494 (1980); D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. B 48:1559 (1982); for reviews, see, e.g., R. E. Prange and S. M. Girvin, eds., The Quantum Hall Effect, 2nd ed. (Springer, New York, 1990); T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer, Berlin, 1988); M. Stone, ed., Quantum Hall Effect (World Scientific, Singapore, 1992).
    • (1990) The Quantum Hall Effect, 2nd Ed.
    • Prange, R.E.1    Girvin, S.M.2
  • 4
    • 33745141474 scopus 로고
    • Springer, Berlin
    • K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45:494 (1980); D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. B 48:1559 (1982); for reviews, see, e.g., R. E. Prange and S. M. Girvin, eds., The Quantum Hall Effect, 2nd ed. (Springer, New York, 1990); T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer, Berlin, 1988); M. Stone, ed., Quantum Hall Effect (World Scientific, Singapore, 1992).
    • (1988) The Fractional Quantum Hall Effect: Properties of An Incompressible Quantum Fluid
    • Chakraborty, T.1    Pietiläinen, P.2
  • 5
    • 33745141474 scopus 로고
    • World Scientific, Singapore
    • K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45:494 (1980); D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. B 48:1559 (1982); for reviews, see, e.g., R. E. Prange and S. M. Girvin, eds., The Quantum Hall Effect, 2nd ed. (Springer, New York, 1990); T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer, Berlin, 1988); M. Stone, ed., Quantum Hall Effect (World Scientific, Singapore, 1992).
    • (1992) Quantum Hall Effect
    • Stone, M.1
  • 9
    • 35949004804 scopus 로고
    • J. Fröhlich and U. M. Studer, Rev. Mod. Phys. 65:733 (1993); see also J. Fröhlich and U. M. Studer, Incompressible quantum fluids, gauge-invariance, and current algebra, in Proceedings of New Symmetry Principles in Quantum Field Theory, Cargèse, 1991, J. Fröhlich ei al., eds. (Plenum Press, New York, 1992).
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 733
    • Fröhlich, J.1    Studer, U.M.2
  • 10
    • 84921204356 scopus 로고
    • Incompressible quantum fluids, gauge-invariance, and current algebra
    • J. Fröhlich ei al., eds. Plenum Press, New York
    • J. Fröhlich and U. M. Studer, Rev. Mod. Phys. 65:733 (1993); see also J. Fröhlich and U. M. Studer, Incompressible quantum fluids, gauge-invariance, and current algebra, in Proceedings of New Symmetry Principles in Quantum Field Theory, Cargèse, 1991, J. Fröhlich ei al., eds. (Plenum Press, New York, 1992).
    • (1991) Proceedings of New Symmetry Principles in Quantum Field Theory, Cargèse
    • Fröhlich, J.1    Studer, U.M.2
  • 12
    • 0000972949 scopus 로고
    • Structuring the set of incompressible quantum hall fluids
    • [FS]
    • J. Fröhlich, T. Kerler, U. M. Studer, and E. Thiran, Structuring the set of incompressible quantum Hall fluids, Nucl. Phys. B 453[FS]:670 (1995).
    • (1995) Nucl. Phys. B , vol.453 , pp. 670
    • Fröhlich, J.1    Kerler, T.2    Studer, U.M.3    Thiran, E.4
  • 15
    • 4243931774 scopus 로고
    • X. G. Wen, Phys. Rev. Lett. 64:2206 (1990); Phys. Rev. B 41:12838 (1990); B. Blok and X. G. Wen, Phys. Rev. B 42:8133, 8145 (1990); D. H. Lee and X. G. Wen, Phys. Rev. Lett. 66:1765 (1991); M. Stone, Ann. Phys. (N.Y.) 207:38 (1991).
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2206
    • Wen, X.G.1
  • 16
    • 33744531188 scopus 로고
    • X. G. Wen, Phys. Rev. Lett. 64:2206 (1990); Phys. Rev. B 41:12838 (1990); B. Blok and X. G. Wen, Phys. Rev. B 42:8133, 8145 (1990); D. H. Lee and X. G. Wen, Phys. Rev. Lett. 66:1765 (1991); M. Stone, Ann. Phys. (N.Y.) 207:38 (1991).
    • (1990) Phys. Rev. B , vol.41 , pp. 12838
  • 17
    • 4243812765 scopus 로고
    • X. G. Wen, Phys. Rev. Lett. 64:2206 (1990); Phys. Rev. B 41:12838 (1990); B. Blok and X. G. Wen, Phys. Rev. B 42:8133, 8145 (1990); D. H. Lee and X. G. Wen, Phys. Rev. Lett. 66:1765 (1991); M. Stone, Ann. Phys. (N.Y.) 207:38 (1991).
    • (1990) Phys. Rev. B , vol.42 , pp. 8133
    • Blok, B.1    Wen, X.G.2
  • 18
    • 0000600735 scopus 로고
    • X. G. Wen, Phys. Rev. Lett. 64:2206 (1990); Phys. Rev. B 41:12838 (1990); B. Blok and X. G. Wen, Phys. Rev. B 42:8133, 8145 (1990); D. H. Lee and X. G. Wen, Phys. Rev. Lett. 66:1765 (1991); M. Stone, Ann. Phys. (N.Y.) 207:38 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 1765
    • Lee, D.H.1    Wen, X.G.2
  • 19
    • 0002356311 scopus 로고
    • (N.Y.)
    • X. G. Wen, Phys. Rev. Lett. 64:2206 (1990); Phys. Rev. B 41:12838 (1990); B. Blok and X. G. Wen, Phys. Rev. B 42:8133, 8145 (1990); D. H. Lee and X. G. Wen, Phys. Rev. Lett. 66:1765 (1991); M. Stone, Ann. Phys. (N.Y.) 207:38 (1991).
    • (1991) Ann. Phys. , vol.207 , pp. 38
    • Stone, M.1
  • 20
    • 24244440841 scopus 로고
    • M. Büttiker, Phys. Rev. B 38:9375 (1988); C. W. J. Beenakker, Phys. Rev. Lett. 64:216 (1990); A. H. MacDonald, Phys. Rev. Lett. 64:220 (1990); A. M. Chang, Solid State Commun. 74:871 (1990).
    • (1988) Phys. Rev. B , vol.38 , pp. 9375
    • Büttiker, M.1
  • 21
    • 0347624260 scopus 로고
    • M. Büttiker, Phys. Rev. B 38:9375 (1988); C. W. J. Beenakker, Phys. Rev. Lett. 64:216 (1990); A. H. MacDonald, Phys. Rev. Lett. 64:220 (1990); A. M. Chang, Solid State Commun. 74:871 (1990).
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 216
    • Beenakker, C.W.J.1
  • 22
    • 0000618605 scopus 로고
    • M. Büttiker, Phys. Rev. B 38:9375 (1988); C. W. J. Beenakker, Phys. Rev. Lett. 64:216 (1990); A. H. MacDonald, Phys. Rev. Lett. 64:220 (1990); A. M. Chang, Solid State Commun. 74:871 (1990).
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 220
    • Macdonald, A.H.1
  • 23
    • 0025439886 scopus 로고
    • M. Büttiker, Phys. Rev. B 38:9375 (1988); C. W. J. Beenakker, Phys. Rev. Lett. 64:216 (1990); A. H. MacDonald, Phys. Rev. Lett. 64:220 (1990); A. M. Chang, Solid State Commun. 74:871 (1990).
    • (1990) Solid State Commun. , vol.74 , pp. 871
    • Chang, A.M.1
  • 24
    • 0027541536 scopus 로고
    • and references therein
    • K. von Klitzing, Physica B 184:1 (1993) and references therein.
    • (1993) Physica B , vol.184 , pp. 1
    • Von Klitzing, K.1
  • 25
    • 36149036257 scopus 로고
    • Bosonization of fermi systems in arbitrary dimensions in terms of gauge forms
    • J. Fröhlich, R. Götschmann, and P.-A. Marchetti, Bosonization of Fermi systems in arbitrary dimensions in terms of gauge forms, J. Phys. A 28:1169 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 1169
    • Fröhlich, J.1    Götschmann, R.2    Marchetti, P.-A.3
  • 26
    • 0001561066 scopus 로고
    • B. I. Halperin, P. A. Lee, and N. Read, Phys. Rev. B 47:7312 (1993); B. L. Altshuler, L. B. Ioffe, and A. J. Millis, Phys. Rev. B 50:14048 (1994).
    • (1993) Phys. Rev. B , vol.47 , pp. 7312
    • Halperin, B.I.1    Lee, P.A.2    Read, N.3
  • 28
    • 0002548496 scopus 로고
    • D. C. Tsui, Physica B 164:59 (1990); H. L. Stormer, Physica B 177:401 (1992).
    • (1990) Physica B , vol.164 , pp. 59
    • Tsui, D.C.1
  • 29
    • 0027108461 scopus 로고
    • D. C. Tsui, Physica B 164:59 (1990); H. L. Stormer, Physica B 177:401 (1992).
    • (1992) Physica B , vol.177 , pp. 401
    • Stormer, H.L.1
  • 34
    • 0040549642 scopus 로고
    • see esp. ref.12 therein
    • C. -R. Hu, Int. J. Mod. Phys. B 5:1739 (1991): see esp. ref.12 therein.
    • (1991) Int. J. Mod. Phys. B , vol.5 , pp. 1739
    • Hu, C.-R.1
  • 46
    • 26344477250 scopus 로고
    • F. D. M. Haldane, Phys. Rev. Lett. 51:605 (1983), B. I. Halperin, ibid. 52:1583 (1984).
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1583
    • Halperin, B.I.1
  • 48
    • 0000270607 scopus 로고
    • J. K. Jain, Phys. Rev. Lett. 63:199 (1989), Phys. Rev. B 41:7653 (1990), Adv. Phys. 41:105 (1992).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 199
    • Jain, J.K.1
  • 49
    • 11744298055 scopus 로고
    • J. K. Jain, Phys. Rev. Lett. 63:199 (1989), Phys. Rev. B 41:7653 (1990), Adv. Phys. 41:105 (1992).
    • (1990) Phys. Rev. B , vol.41 , pp. 7653
  • 50
    • 2842591475 scopus 로고
    • J. K. Jain, Phys. Rev. Lett. 63:199 (1989), Phys. Rev. B 41:7653 (1990), Adv. Phys. 41:105 (1992).
    • (1992) Adv. Phys. , vol.41 , pp. 105
  • 52
    • 0010926102 scopus 로고
    • S. Iso, D. Karabali, and B. Sakita, Phys. Lett. B 296:143 (1992), A. Cappelli, C. A. Trugenberger, and G. R. Zemba, Nucl. Phys. B 396:465 (1993), Phys. Lett. B 306:100 (1993), M. Flohr and R. Varnhagen, J. Phys. A 27:3999 (1994), D. Karabali, Nucl. Phys. B 428:531 (1994).
    • (1992) Phys. Lett. B , vol.296 , pp. 143
    • Iso, S.1    Karabali, D.2    Sakita, B.3
  • 53
    • 0001105462 scopus 로고
    • S. Iso, D. Karabali, and B. Sakita, Phys. Lett. B 296:143 (1992), A. Cappelli, C. A. Trugenberger, and G. R. Zemba, Nucl. Phys. B 396:465 (1993), Phys. Lett. B 306:100 (1993), M. Flohr and R. Varnhagen, J. Phys. A 27:3999 (1994), D. Karabali, Nucl. Phys. B 428:531 (1994).
    • (1993) Nucl. Phys. B , vol.396 , pp. 465
    • Cappelli, A.1    Trugenberger, C.A.2    Zemba, G.R.3
  • 54
    • 4243966595 scopus 로고
    • S. Iso, D. Karabali, and B. Sakita, Phys. Lett. B 296:143 (1992), A. Cappelli, C. A. Trugenberger, and G. R. Zemba, Nucl. Phys. B 396:465 (1993), Phys. Lett. B 306:100 (1993), M. Flohr and R. Varnhagen, J. Phys. A 27:3999 (1994), D. Karabali, Nucl. Phys. B 428:531 (1994).
    • (1993) Phys. Lett. B , vol.306 , pp. 100
  • 55
    • 21344494060 scopus 로고
    • S. Iso, D. Karabali, and B. Sakita, Phys. Lett. B 296:143 (1992), A. Cappelli, C. A. Trugenberger, and G. R. Zemba, Nucl. Phys. B 396:465 (1993), Phys. Lett. B 306:100 (1993), M. Flohr and R. Varnhagen, J. Phys. A 27:3999 (1994), D. Karabali, Nucl. Phys. B 428:531 (1994).
    • (1994) J. Phys. A , vol.27 , pp. 3999
    • Flohr, M.1    Varnhagen, R.2
  • 56
    • 4243994236 scopus 로고
    • S. Iso, D. Karabali, and B. Sakita, Phys. Lett. B 296:143 (1992), A. Cappelli, C. A. Trugenberger, and G. R. Zemba, Nucl. Phys. B 396:465 (1993), Phys. Lett. B 306:100 (1993), M. Flohr and R. Varnhagen, J. Phys. A 27:3999 (1994), D. Karabali, Nucl. Phys. B 428:531 (1994).
    • (1994) Nucl. Phys. B , vol.428 , pp. 531
    • Karabali, D.1
  • 57
    • 9744224925 scopus 로고
    • C. A. Lütken, Nucl. Phys. B 396:670 (1993), J. Phys. A 26:L811 (1993), C. A. Lütken and G. G. Ross, Phys. Rev. 548:2500 (1993).
    • (1993) Nucl. Phys. B , vol.396 , pp. 670
    • Lütken, C.A.1
  • 58
    • 9744224925 scopus 로고
    • C. A. Lütken, Nucl. Phys. B 396:670 (1993), J. Phys. A 26:L811 (1993), C. A. Lütken and G. G. Ross, Phys. Rev. 548:2500 (1993).
    • (1993) J. Phys. A , vol.26
  • 59
    • 4243995638 scopus 로고
    • C. A. Lütken, Nucl. Phys. B 396:670 (1993), J. Phys. A 26:L811 (1993), C. A. Lütken and G. G. Ross, Phys. Rev. 548:2500 (1993).
    • (1993) Phys. Rev. , vol.548 , pp. 2500
    • Lütken, C.A.1    Ross, G.G.2
  • 61
    • 4244073309 scopus 로고
    • R. B. Laughlin, Phys Rev. Lett. 50:1395 (1983); Phys. Rev. B 27:3383 (1983).
    • (1983) Phys. Rev. B , vol.27 , pp. 3383
  • 64
    • 4243423817 scopus 로고
    • An ADE-O classification of minimal incompressible quantum hall fluids
    • M. Fannes, C. Maes, and A. Verbeure, eds. Plenum, New York, [see also cond-mat/9406009]
    • J. Fröhlich, U. M. Studer, and E. Thiran, An ADE-O classification of minimal incompressible quantum Hall fluids, in On Three Levels, M. Fannes, C. Maes, and A. Verbeure, eds. (Plenum, New York, 1994); [see also cond-mat/9406009].
    • (1994) On Three Levels
    • Fröhlich, J.1    Studer, U.M.2    Thiran, E.3
  • 66
    • 0000126136 scopus 로고
    • P. K. Lam and S. M. Girvin, Phys. Rev. B 30:473 (1984); D. Levesque, J. J. Weiss, and A. H. MacDonald, Phys. Rev. B 30:1056 (1984).
    • (1984) Phys. Rev. B , vol.30 , pp. 473
    • Lam, P.K.1    Girvin, S.M.2
  • 72
    • 0002266952 scopus 로고
    • and references therein
    • R. Slansky, Phys. Rep. 79:1 (1981); and references therein.
    • (1981) Phys. Rep. , vol.79 , pp. 1
    • Slansky, R.1
  • 75
  • 76
    • 0040549562 scopus 로고
    • reprint, Chelsea, New York
    • L. E. Dickson, Studies in the Theory of Numbers (University of Chicago Press, Chicago, 1930), [reprint, Chelsea, New York, 1957].
    • (1957)
  • 77
    • 0001386526 scopus 로고
    • A. N. Schellekens and N. P. Warner, Phys. Rev. D 34:3092 (1986); F. A. Bais and P. G. Bouwknegt, Nucl. Phys. B 279:561 (1987); V. G. Kac and M. N. Sanielevici, Phys. Rev. D 37:2231 (1988).
    • (1986) Phys. Rev. D , vol.34 , pp. 3092
    • Schellekens, A.N.1    Warner, N.P.2
  • 78
    • 0001501540 scopus 로고
    • A. N. Schellekens and N. P. Warner, Phys. Rev. D 34:3092 (1986); F. A. Bais and P. G. Bouwknegt, Nucl. Phys. B 279:561 (1987); V. G. Kac and M. N. Sanielevici, Phys. Rev. D 37:2231 (1988).
    • (1987) Nucl. Phys. B , vol.279 , pp. 561
    • Bais, F.A.1    Bouwknegt, P.G.2
  • 79
    • 0000931697 scopus 로고
    • A. N. Schellekens and N. P. Warner, Phys. Rev. D 34:3092 (1986); F. A. Bais and P. G. Bouwknegt, Nucl. Phys. B 279:561 (1987); V. G. Kac and M. N. Sanielevici, Phys. Rev. D 37:2231 (1988).
    • (1988) Phys. Rev. D , vol.37 , pp. 2231
    • Kac, V.G.1    Sanielevici, M.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.