Non-minimal Maxwell - Chern - Simons theory and the composite fermion model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 313, Issue 5-6, 2003, Pages 412-417

  Paschoal, Ricardo C ^a,b   Helayël Neto, José A ^a,c  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b Servico Nacional de Aprendizagem Industrial   (Brazil)

^c Grupo de Fisica Teorica Jose Leite Lopes   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR EQUATIONS;

CHERN-SIMONS THEORY; COMPOSITE FERMION; DIRAC EQUATIONS; FRACTIONAL QUANTUM HALL EFFECTS; GAUGE FIELDS; MEAN FIELD APPROXIMATION;

QUANTUM HALL EFFECT;

ARTICLE; DYNAMICS; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; QUANTUM MECHANICS; QUANTUM THEORY;

EID: 0038450070     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00805-3     Document Type: Article

References (35)

1. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
2. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
3. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
4. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
5. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
6. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
7. The most important original paper is: S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 140 (1982) 372; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 185 (1988) 406, Erratum; S. Deser, R. Jackiw, S. Templeton, Ann. Phys. 281 (2000) 409 (reprinted); More recent and introductory articles are: G.V. Dunne, hep-th/9902115; R. Jackiw, Topics in planar physics, MIT-CTP-1824 DIAS Working Seminar, Dublin, Ireland, May 1989; 19th GIFT School, Jaca, Spain, June 1989; 8th Symp., Mt. Sorak, Korea, July 1989; Banff Summer School, August 1989; R. Jackiw, Nucl. Phys. Proc. Suppl. 18A (1990) 107.
8. F. Wilczek, Fractional Statistics and Anyon Superconductivity, World Scientific, Singapore, 1990, which contains the most important original papers; A. Lerda, Anyons: Quantum Mechanics of Particles with Fractional Statistics, in: Lecture Notes in Physics, Vol. m14, Springer, Berlin, 1992; P. de S. Gerbert, Int. J. Mod. Phys. A 6 (1991) 173.
9. F. Wilczek, Fractional Statistics and Anyon Superconductivity, World Scientific, Singapore, 1990, which contains the most important original papers; A. Lerda, Anyons: Quantum Mechanics of Particles with Fractional Statistics, in: Lecture Notes in Physics, Vol. m14, Springer, Berlin, 1992; P. de S. Gerbert, Int. J. Mod. Phys. A 6 (1991) 173.
10. F. Wilczek, Fractional Statistics and Anyon Superconductivity, World Scientific, Singapore, 1990, which contains the most important original papers; A. Lerda, Anyons: Quantum Mechanics of Particles with Fractional Statistics, in: Lecture Notes in Physics, Vol. m14, Springer, Berlin, 1992; P. de S. Gerbert, Int. J. Mod. Phys. A 6 (1991) 173.
11. R.E. Prange, S.M. Girvin (Eds.), The Quantum Hall Effect, 2nd Edition, Springer-Verlag, New York, 1990; S. Das Sarma, A. Pinczuk (Eds.), Perspectives in Quantum Hall Effects, Wiley, New York, 1997; O. Heinonen (Ed.), Composite Fermions, World Scientific, Singapore, 1998.
12. R.E. Prange, S.M. Girvin (Eds.), The Quantum Hall Effect, 2nd Edition, Springer-Verlag, New York, 1990; S. Das Sarma, A. Pinczuk (Eds.), Perspectives in Quantum Hall Effects, Wiley, New York, 1997; O. Heinonen (Ed.), Composite Fermions, World Scientific, Singapore, 1998.
13. R.E. Prange, S.M. Girvin (Eds.), The Quantum Hall Effect, 2nd Edition, Springer-Verlag, New York, 1990; S. Das Sarma, A. Pinczuk (Eds.), Perspectives in Quantum Hall Effects, Wiley, New York, 1997; O. Heinonen (Ed.), Composite Fermions, World Scientific, Singapore, 1998.
14. J. Stern, Phys. Lett. B 265 (1991) 119.
15. I.I. Kogan, Phys. Lett. B 262 (1991) 83.
16. S.M. Latinsky, D.P. Sorokin, JETP Lett. 53 (1991) 187; S.M. Latinsky, D.P. Sorokin, Mod. Phys. Lett. A 6 (1991) 3525, and references therein.
17. S.M. Latinsky, D.P. Sorokin, JETP Lett. 53 (1991) 187; S.M. Latinsky, D.P. Sorokin, Mod. Phys. Lett. A 6 (1991) 3525, and references therein.
18. S.K. Paul, A. Khare, Phys. Lett. B 193 (1987) 253; S.K. Paul, A. Khare, Phys. Lett. B 196 (1987) 571, Erratum.
19. S.K. Paul, A. Khare, Phys. Lett. B 193 (1987) 253; S.K. Paul, A. Khare, Phys. Lett. B 196 (1987) 571, Erratum.
20. M.E. Carrington, G. Kunstatter, Phys. Rev. D 51 (1995) 1903.
21. F.A.S. Nobre, C.A.S. Almeida, Phys. Lett. B 455 (1999) 213, hep-th/9904159.
22. M.E. Carrington, et al., Phys. Rev. D 60 (1999) 125018, hep-th/9905172.
23. M.E. Carrington, G. Kunstatter, Phys. Rev. D 50 (1994) 2830, hep-th/9403375.
24. B.S. Kim, H.-J. Lee, J.H. Yee, Phys. Rev. D 61 (1999) 025010, hep-th/9903138, and references therein.
25. Z. Németh, Phys. Rev. D 58 (1998) 067703, hep-th/9802159.
26. For an introductory reviews with original references see, for example: J.K. Jain, in: S.D. Sarma, A. Pinczuk (Eds.), Perspectives in Quantum Hall Effects, Wiley-Interscience, New York, 1997; J.K. Jain, Adv. Phys. 41 (2) (1992) 105; S.H. Simon, A. Lopez, E. Fradkin, in: O. Heinonen, Ref. [3], also available, respectivelly, at cond-mat/9812186, cond-mat/9704055.
27. For an introductory reviews with original references see, for example: J.K. Jain, in: S.D. Sarma, A. Pinczuk (Eds.), Perspectives in Quantum Hall Effects, Wiley-Interscience, New York, 1997; J.K. Jain, Adv. Phys. 41 (2) (1992) 105; S.H. Simon, A. Lopez, E. Fradkin, in: O. Heinonen, Ref. [3], also available, respectivelly, at cond-mat/9812186, cond-mat/9704055.
28. For an introductory reviews with original references see, for example: J.K. Jain, in: S.D. Sarma, A. Pinczuk (Eds.), Perspectives in Quantum Hall Effects, Wiley-Interscience, New York, 1997; J.K. Jain, Adv. Phys. 41 (2) (1992) 105; S.H. Simon, A. Lopez, E. Fradkin, in: O. Heinonen, Ref. [3], also available, respectivelly, at cond-mat/9812186, cond-mat/9704055.
29. D.G. Barci, L.E. Oxman, Phys. Rev. D 52 (1995) 1169, hep-th/9503100.
30. J.D. Bjorken, S.D. Drell, Relativistic Quantum Mechanics, McGraw-Hill, 1964, Chapter 1.
31. See, for example, Y. Georgelin, J.C. Wallet, Mod. Phys. Lett. A 7 (1992) 1149.
32. R.B. Laughlin, Phys. Rev. B 23 (1981) 5632.
33. W.A. Moura-Melo, J.A. Helayël-Neto, Phys. Rev. D 63 (2001) 065013, hep-th/0004143; W.A. Moura-Melo, Peculiar aspects of planar Maxwell and Maxwell - Chern - Simons electrodynamics, Ph.D. Thesis, CBPF, 2001, avaiable in Portuguese at http://www.cbpf.br/ ~dcp/papers/.
34. W.A. Moura-Melo, J.A. Helayël-Neto, Phys. Rev. D 63 (2001) 065013, hep-th/0004143; W.A. Moura-Melo, Peculiar aspects of planar Maxwell and Maxwell - Chern - Simons electrodynamics, Ph.D. Thesis, CBPF, 2001, avaiable in Portuguese at http://www.cbpf.br/~dcp/papers/.
35. R.C. Paschoal, J.A. Helayël-Neto, F.A.B.R. de Carvalho, in preparation.