Spin-ensemble density-functional theory for inhomogeneous quantum Hall systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 56, Issue 16, 1997, Pages 10373-10382

  Lubin, M ^a   Heinonen, O ^a   Johnson, M ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012792519     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.56.10373     Document Type: Article

References (41)

1. O. Heinonen, M. I. Lubin, and M. D. Johnson, Phys. Rev. Lett. 75, 4110 (1995).
2. O. Heinonen, M. I. Lubin, and M. D. Johnson, Int. J. Quantum Chem. Quantum Chem. Symp. 30, 231 (1996).
3. O. Heinonen, M. I. Lubin, and M. D. Johnson, in Electronic Density Functional Theory: Recent Progress and New Directions, edited by J. F. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1997).
4. K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
5. D. C. Tsui, H. L. Stormer, and A. C. Gossard, 48, 1559 (1990).
6. S.-R. Eric Yang, A. H. MacDonald, and M. D. Johnson, Phys. Rev. Lett. 71, 3194 (1993).
7. Kang-Hun Ahn, J. H. Oh, and K. J. Chang, Phys. Rev. B 52, 13 757 (1995).
8. C. W. J. Beenakker, Phys. Rev. Lett. 64, 216 (1990).
9. D. B. Chklovskii, B. I. Shklovskii, and L. I. Glazman, Phys. Rev. B 46, 4026 (1992).
10. E. Goldman and S. R. Renn, cond-mat/9606015 (unpublished).
11. D. B. Chklovskii, Phys. Rev. B 51, 9895 (1995).
12. for general theory see L. Brey, 50, 11 861 (1994).
13. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
14. M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979).
15. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
16. M. Levy, Phys. Rev. A 26, 1200 (1982); M. Levy and J. P. Perdew in Density Functional Methods in Physics edited by R. M. Dreizler and J. da Providencia (Plenum, New York, 1985).
17. E. H. Lieb, Int. J. Quantum Chem. 24, 243 (1983).
18. B. I. Halperin, Helv. Phys. Acta 56, 75 (1983).
19. F. C. Zhang and T. Chakraborty, Phys. Rev. B 30, 7320 (1984).
20. F. D. M. Haldane, in The Quantum Hall Effect, edited by R. E. Prange and S. M. Girvin (Springer, New York, 1987).
21. M. D. Johnson and A. H. MacDonald, Phys. Rev. Lett. 67, 2060 (1991).
22. for another ensemble extension of DFT to the so-called equiensembles of excited states, see E. K. U. Gross, L. N. Oliveira, and W. Kohn, Phys. Rev. A 37, 2805 (1988).
23. 37, 2809 (1988).
24. P. A. Maksym and T. Chakraborty, Phys. Rev. Lett. 65, 108 (1990).
25. D. Levesque, J. J. Weis, and A. H. MacDonald, Phys. Rev. B 30, 1056 (1984).
26. G. Fano and F. Ortolani, Phys. Rev. B 37, 8179 (1988).
27. S. E. Barrett et al., Phys. Rev. Lett. 74, 5112 (1995).
28. A. Schmeller, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, 75, 4290 (1995).
29. S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, Phys. Rev. B 47, 16 419 (1993).
30. A. Karlhede, S. A. Kivelson, K. Lejnell, and S. I. Sondhi, Phys. Rev. Lett. 77, 2061 (1996).
31. M. Franco and L. Brey, Phys. Rev. B (to be published).
32. U. von Barth and L. Hedin J. Phys. C 5, 1629 (1972).
33. R. Morf and B. I. Halperin, Phys. Rev. B 33, 221 (1986).
34. N. d’Ambrumenil and R. Morf, 40, 6108 (1989).
35. J. P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981).
36. For a review, see R. O. Jones and O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).
37. A. Svane and O. Gunnarsson, Phys. Rev. Lett. 65, 1148 (1990).
38. Z. Szotek, W. Temmerman, and H. Winter, Phys. Rev. B 47, 4029 (1993).
39. G. L. Oliver and J. P. Perdew, Phys. Rev. A 20, 397 (1979).
40. T. Chakraborty and F. C. Zhang, Phys. Rev. B 29, 7032 (1984).
41. E. H. Rezay, 43, 5944 (1991).