Bulk charge distributions on integer and fractional quantum Hall plateaus

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 12, 1998, Pages 7119-7123

  Palacios, J ^a   MacDonald, A ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344922816     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.7119     Document Type: Article

References (22)

1. A. H. MacDonald, T. M. Rice, and W. F. Brinkman, Phys. Rev. B 28, 3648 (1983).
2. E. Yahel, D. Orgad, A. Palevski, and H. Shtrikman, Phys. Rev. Lett. 76, 2149 (1996).
3. N. Q. Balaban, U. Meirav, and H. Shtrikman, Phys. Rev. B 52, R5503 (1995).
4. T. Takamasu, H. Dodo, and N. Miura, Solid State Commun. 96, 121 (1995).
5. A. A. Shashkin, A. J. Kent, P. Harrison, L. Eaves, and M. Henini, Phys. Rev. B 49, 5379 (1994).
6. N. Q. Balaban, U. Meirav, H. Shtrikman, and Y. Levinson, Phys. Rev. Lett. 71, 1443 (1993).
7. Phys. Rev. Lett.A. J. Kent, D. J. McKitterick, L. J. Challis, P. Hawker, C. J. Mellor, and M. Henini, 69, 1684 (1992).
8. P. F. Fontein, J. A. Kleinen, P. Hendriks, F. A. P. Blom, J. H. Wolter, H. G. M. Lochs, F. A. J. M. Driessen, L. J. Giling, and C. W. J. Beenakker, Phys. Rev. B 43, 12 090 (1991).
9. B. I. Halperin, Phys. Rev. B 25, 2185 (1982).
10. Phys. Rev. BM. Büttiker, 38, 9375 (1988).
11. K. Tsemekhman, V. Tsemekhman, C. Wexler, and D. J. Thouless, Solid State Commun. 101, 549 (1997).
12. C. Wexler and D. J. Thouless, Phys. Rev. B 49, 4815 (1994).
13. D. J. Thouless, Phys. Rev. Lett. 71, 1879 (1993) and work cited therein.
14. The bulk charge distribution on a fractional Hall plateau has also been discussed recently by Jun’ichi Shiraishi and Mahito Kohmoto, Phys. Rev. B 54, 17 667 (1996). These authors base their work on an effective Chern-Simons theory for quantum Hall edges, which leads to a bulk response relation that is similar, but not identical, to ours. In our view the present approach, which is soundly based on the known microscopic of fractional Hall states, is more reliable.
15. See also J. Shiraishi, Y. Avishai, and M. Kohmoto, cond-mat/9710309 (unpublished).
16. D. J. Thouless, J. Phys. C 18, 6211 (1985).
17. See, for example, D. B. Choklovskii, B. I. Shklovskii, and L. I. Glazman, Phys. Rev. B 46, 4026 (1992); and
18. Phys. Rev. BL. Brey, J. J. Palacios, and C. Tejedor, 47, 13 884 (1993) for discussions applicable to the case of smooth electrostatically defined edges.
19. A. H. MacDonald, in Mesoscopic Quantum Physics: Les Houches Session LXI, edited by E. Akkermans, G. Montambeaux, and J. Zinn-Justin, J.-L. Pichard (North-Holland, Amsterdam, 1995).
20. Exceptions occur when the ground state has broken translational or broken spin-rotational symmetry, as expected at (Formula presented) in the absence of Zeeman coupling. See, for example, R. Cote, A. H. MacDonald, L. Brey, H. A. Fertig, S. M. Girvin, and H. T. C. Stoof, Phys. Rev. Lett. 78, 4825 (1997).
21. A. H. MacDonald, H. C. A. Oji, and S. M. Girvin, Phys. Rev. Lett. 55, 2208 (1985).
22. S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. B 33, 2481 (1986).