Theoretical search for the nested quantum Hall effect of composite fermions

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 15, 2002, Pages 1553021-15530211

  Mandal, Sudhansu S ^a   Jain, Jainendra K ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELECTRON; ELEMENTARY PARTICLE; ENERGY; FERMION; GEOMETRY; KINETICS; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MOLECULAR INTERACTION; QUANTUM MECHANICS; QUANTUM THEORY;

EID: 0000728252     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.155302     Document Type: Article

References (24)

1. K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
2. D.C. Tsui, H.L. Stormer, and A.C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
3. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989); Phys. Rev. B 41, 7653 (1990); Phys. Today 53(4), 39 (2000).
4. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989); Phys. Rev. B 41, 7653 (1990); Phys. Today 53(4), 39 (2000).
5. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989); Phys. Rev. B 41, 7653 (1990); Phys. Today 53(4), 39 (2000).
6. V.J. Goldman, D.C. Tsui, and M. Shayegan, Phys. Rev. Lett. 61, 881 (1988).
7. W. Pan, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, and K.W. West, Phys. Rev. Lett. 88, 176802 (2002).
8. G. Dev and J.K. Jain, Phys. Rev. Lett. 69, 2843 (1992).
9. J.K. Jain and R.K. Kamilla, Int. J. Mod. Phys. B 11, 2621 (1997); Phys. Rev. B 55, R4895 (1997).
10. J.K. Jain and R.K. Kamilla, Int. J. Mod. Phys. B 11, 2621 (1997); Phys. Rev. B 55, R4895 (1997).
11. J.K. Jain and R.K. Kamilla, in Composite Fermions, edited by Olle Heinonen (World Scientific, New York, 1998).
12. J.K. Jain, Phys. Rev. B 40, 8079 (1989); J.K. Jain and V.J. Goldman, ibid. 45, 1255 (1992).
13. J.K. Jain, Phys. Rev. B 40, 8079 (1989); J.K. Jain and V.J. Goldman, ibid. 45, 1255 (1992).
14. W. Pan, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, and K.W. West (unpublished).
15. A. Wojs and J.J. Quinn, Phys. Rev. B 61, 2846 (2000).
16. S.-Y. Lee, V.W. Scarola, and J.K. Jain (unpublished).
17. K. Park and J.K. Jain, Phys. Rev. B 62, R13 274 (2000).
18. N→∞N/2Q→v), but the value of α, which is crucial for finite systems, depends on the physics of the incompressible state. In this paper, the filling factor is attributed to a finite system assuming the familiar physics that has been successful in explaining the fractions n/(2pn±1). A different origin of incompressibility could possibly imply a different relation between N and 2Q.
19. T.T. Wu and C.N. Yang, Nucl. Phys. B 107, 365 (1976).
20. S.S. Mandal and J.K. Jain, Phys. Rev. B 63, 201310(R) (2001); Solid State Commun. 118, 503 (2001).
21. S.S. Mandal and J.K. Jain, Phys. Rev. B 63, 201310(R) (2001); Solid State Commun. 118, 503 (2001).
22. V. Melik-Alaverdian and N. Bonesteel, Phys. Rev. B 52, R17 032 (1995).
23. V.W. Scarola, K. Park, and J.K. Jain, Phys. Rev. B 61, 13 064 (2000).
24. A.A. Koulakov, M.M. Fogler, and B.I. Shklovskii, Phys. Rev. Lett. 76, 499 (1996).