Half-filled lowest landau level on a thin torus

Physical Review Letters

Volumn 94, Issue 2, 2005, Pages

  Bergholtz, Emil J ^a   Karlhede, Anders ^a  

^a STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE FERMIONS; DENSITY MATRIX RENORMALIZATION GROUP (DMRG); FERMI GAS; LANDAU LEVEL;

ELECTROSTATICS; FERMI LEVEL; FERMIONS; GROUND STATE; HAMILTONIANS; MAGNETIC FIELDS; PHASE DIAGRAMS; PHASE TRANSITIONS;

ELECTRON GAS;

EID: 18244370264     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.026802     Document Type: Article

References (31)

1. H. W. Jiang, H. L. Störmer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 40, R12013 (1989).
2. R. L. Willett, M. A. Paalanen, R. R. Ruel, K. W. West, L. N. Pfeiffer, and D. J. Bishop, Phys. Rev. Lett. 65, 112 (1990).
3. J. K. Wang and V. J. Goldman, Phys. Rev. B 45, 13479 (1992).
4. B. I. Halperin, P. A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993); see also V. Kalmeyer and S.-C. Zhang, Phys. Rev. B 46, R9889 (1992).
5. B. I. Halperin, P. A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993); see also V. Kalmeyer and S.-C. Zhang, Phys. Rev. B 46, R9889 (1992).
6. For a review, see, e.g., J. K. Jain and R. K. Kamilla, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998).
7. R. L. Willett and L. N. Pfeiffer, Surf. Sci. 362, 38 (1996).
8. W. Kang, H. L. Störmer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 71, 3850 (1993); V. J. Goldman, B. Su, and J. K. Jain, Phys. Rev. Lett. 72, 2065 (1994); J. H. Smet, D. Weiss, R. H. Blick, G. Lütjering, K. von Klitzing, R. Fleischmann, R. Ketzmerick, T. Geisel, and G. Weimann, Phys. Rev. Lett. 77, 2272 (1996).
9. W. Kang, H. L. Störmer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 71, 3850 (1993); V. J. Goldman, B. Su, and J. K. Jain, Phys. Rev. Lett. 72, 2065 (1994); J. H. Smet, D. Weiss, R. H. Blick, G. Lütjering, K. von Klitzing, R. Fleischmann, R. Ketzmerick, T. Geisel, and G. Weimann, Phys. Rev. Lett. 77, 2272 (1996).
10. W. Kang, H. L. Störmer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 71, 3850 (1993); V. J. Goldman, B. Su, and J. K. Jain, Phys. Rev. Lett. 72, 2065 (1994); J. H. Smet, D. Weiss, R. H. Blick, G. Lütjering, K. von Klitzing, R. Fleischmann, R. Ketzmerick, T. Geisel, and G. Weimann, Phys. Rev. Lett. 77, 2272 (1996).
11. E. Rezayi and N. Read, Phys. Rev. Lett. 72, 900 (1994).
12. G. Murthy and R. Shankar, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998); Rev. Mod. Phys. 75, 1101 (2003); D.-H. Lee, Phys. Rev. Lett. 80, 4745 (1998); 82, 2416(E) (1999); N. Read, Phys. Rev. B 58, 16262 (1998); V. Pasquier and F. D. M. Haldane, Nucl. Phys. B 516, 719 (1998).
13. G. Murthy and R. Shankar, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998); Rev. Mod. Phys. 75, 1101 (2003); D.-H. Lee, Phys. Rev. Lett. 80, 4745 (1998); 82, 2416(E) (1999); N. Read, Phys. Rev. B 58, 16262 (1998); V. Pasquier and F. D. M. Haldane, Nucl. Phys. B 516, 719 (1998).
14. G. Murthy and R. Shankar, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998); Rev. Mod. Phys. 75, 1101 (2003); D.-H. Lee, Phys. Rev. Lett. 80, 4745 (1998); 82, 2416(E) (1999); N. Read, Phys. Rev. B 58, 16262 (1998); V. Pasquier and F. D. M. Haldane, Nucl. Phys. B 516, 719 (1998).
15. G. Murthy and R. Shankar, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998); Rev. Mod. Phys. 75, 1101 (2003); D.-H. Lee, Phys. Rev. Lett. 80, 4745 (1998); 82, 2416(E) (1999); N. Read, Phys. Rev. B 58, 16262 (1998); V. Pasquier and F. D. M. Haldane, Nucl. Phys. B 516, 719 (1998).
16. G. Murthy and R. Shankar, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998); Rev. Mod. Phys. 75, 1101 (2003); D.-H. Lee, Phys. Rev. Lett. 80, 4745 (1998); 82, 2416(E) (1999); N. Read, Phys. Rev. B 58, 16262 (1998); V. Pasquier and F. D. M. Haldane, Nucl. Phys. B 516, 719 (1998).
17. G. Murthy and R. Shankar, in Composite Fermions, edited by O. Heinonen (World Scientific, Singapore, 1998); Rev. Mod. Phys. 75, 1101 (2003); D.-H. Lee, Phys. Rev. Lett. 80, 4745 (1998); 82, 2416(E) (1999); N. Read, Phys. Rev. B 58, 16262 (1998); V. Pasquier and F. D. M. Haldane, Nucl. Phys. B 516, 719 (1998).
18. The possibility that the v = 1/2 state is a Luttinger liquid has also been considered by D.-H. Lee and J. M. Leinaas (private communication).
19. F. D. M. Haldane and E. H. Rezayi, Phys. Rev. B 31, R2529 (1985).
20. These matrix elements are for the cylinder, with free boundary conditions in the y direction.
21. km as model parameters, not necessarily determined by a particular real space potential.
22. 21 and hence can be ignored.
23. s →; ∞ see E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (Berlin) 16, 407 (1961).
24. S. R. White, Phys. Rev. Lett. 69, 2863 (1992); Phys. Rev. B 48, 10345 (1993).
25. S. R. White, Phys. Rev. Lett. 69, 2863 (1992); Phys. Rev. B 48, 10345 (1993).
26. E. J. Bergholtz and A. Karlhede, cond-mat/0304517.
27. H. J. Schulz, G. Cuniberti, and P. Pieri, in Field Theories for Low-Dimensional Condensed Matter Systems, edited by G. Morandi et al. (Springer, New York, 2000).
28. R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
29. E. H. Rezayi and F. D. M. Haldane, Phys. Rev. B 50, 17199 (1994).
30. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983); Phys. Rev. Lett. 50, 1153 (1983).
31. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983); Phys. Rev. Lett. 50, 1153 (1983).