Exact density functionals for two-electron systems in an external magnetic field

Journal of Chemical Physics

Volumn 125, Issue 9, 2006, Pages

  Zhu, Wuming ^a   Trickey, S B ^a  

^a University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COULOMBIC SYSTEMS; CURRENT DENSITY FUNCTIONAL THEORY (CDFT); HOOKE'S ATOM; LOCAL DENSITY APPROXIMATION;

APPROXIMATION THEORY; CARRIER CONCENTRATION; CURRENT DENSITY; MAGNETIC FIELD EFFECTS; PARAMAGNETISM; PROBABILITY DENSITY FUNCTION;

ELECTRONIC STRUCTURE;

EID: 33748550380     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2222353     Document Type: Article

References (60)

1. T. Kinoshita, Phys. Rev. 105, 1490 (1957).
2. P. Pröschel, W. Rösner, G. Wunner, H. Ruder, and H. Herold, J. Phys. B 15, 1959 (1982).
3. J. S. Heyl and L. Hernquist, Phys. Rev. A 58, 3567 (1998).
4. P. Schmelcher, M. V. Ivanov, and W. Becken, Phys. Rev. A 59, 3424 (1999).
5. W. Becken and P. Schmelcher, Phys. Rev. A 63, 053412 (2001).
6. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
7. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
8. G. Vignale and M. Rasolt, Phys. Rev. Lett. 59, 2360 (1987);
9. Phys. Rev. B 37, 10685 (1988);
10. G. Vignale, M. Rasolt, and D. J. W. Geldart, Adv. Quantum Chem. 21, 235 (1990).
11. S. Li and J. K. Percus, Phys. Rev. A 41, 2344 (1990).
12. C. J. Grayce and R. A. Harris, Phys. Rev. A 50, 3089 (1994).
13. B. Tanatar and D. M. Ceperley, Phys. Rev. B 39, 5005 (1989).
14. D. Levesque, J. J. Weis, and A. H. MacDonald, Phys. Rev. B 30, 1056 (1984).
15. A. Wensauer and U. Rössler, Phys. Rev. B 69, 155302 (2004).
16. S. M. Colwell and N. C. Handy, Chem. Phys. Lett. 217, 271 (1994);
17. A. M. Lee, S. M. Colwell, and N. C. Handy, Chem. Phys. Lett. ibid. 229, 225 (1994).
18. A. M. Lee, N. C. Handy, and S. M. Colwell, J. Chem. Phys. 103, 10095 (1995).
19. A. M. Lee, N. C. Handy, and S. M. Colwell, Phys. Rev. A 53, 1316 (1996);
20. A. G. Ioannou, S. M. Colwell, and R. D. Amos, Chem. Phys. Lett. 278, 278 (1997).
21. E. Orestes, T. Marcasso, and K. Capelle, Phys. Rev. A 68, 022105 (2003).
22. S. Kais, D. R. Herschbach, and R. D. Levine, J. Chem. Phys. 91, 7791 (1989).
23. M. Taut, Phys. Rev. A 48, 3561 (1993).
24. N. R. Kestner and O. Sinanoglu, Phys. Rev. 128, 2687 (1962).
25. P. M. Laufer and J. B. Krieger, Phys. Rev. A 33, 1480 (1986).
26. C. Filippi, C. J. Umrigar, and M. Taut, J. Chem. Phys. 100, 1290 (1994).
27. Z. Qian and V. Sahni, Phys. Rev. A 57, 2527 (1998).
28. K.-C. Lam, F. G. Cruz, and K. Burke, Int. J. Quantum Chem. 69, 533 (1998).
29. D. P. O'Neill and P. M. W. Gill, Phys. Rev. A 68, 022505 (2003).
30. W. Zhu and S. B. Trickey, Phys. Rev. A 72, 022501 (2005).
31. S. M. Reimann and M. Manninen, Rev. Mod. Phys. 74, 1283 (2002).
32. D. Pfannkuche, V. Gudmundsson, and P. A. Maksym, Phys. Rev. B 47, 2244 (1993).
33. M. Koskinen, J. Kolehmainen, S. M. Reimann, J. Toivanen, and M. Manninen, Eur. Phys. J. D 9, 487 (1999).
34. P. S. Drouvelis, P. Schmelcher, and F. K. Diakonos, J. Phys.: Condens. Matter 16, 3633 (2004).
35. B. S. Kandemir, Phys. Rev. B 72, 165350 (2005).
36. K. Capelle and G. Vignale, Phys. Rev. B 65, 113106 (2002).
37. W. Kohn, A. Savin, and C. A. Ullrich, Int. J. Quantum Chem. 100, 20 (2004).
38. J. I. Kaplan and M. L. Classer, Phys. Rev. Lett. 28, 1077 (1972).
39. E. Y. Andrei, G. Deville, D. C. Glattli, F. I. B. Williams, E. Paris, and B. Etienne, Phys. Rev. Lett. 60, 2765 (1988).
40. G. Vignale, M. Rasolt, and D. J. W. Geldart, Phys. Rev. B 37, 2502 (1988).
41. S. Erhard and E. K. U. Gross, Phys. Rev. A 53, R5 (1996).
42. A. M. Lee and N. C. Handy, Phys. Rev. A 59, 209 (1999).
43. K. Higuchi and M. Higuchi, Physica B 312-313, 534 (2002).
44. Z. Wang and D. Guo, Introduction to Special Function (Peking University Press, Beijing, China, 2000).
45. H. Ruder, G. Wunner, H. Herold, and F. Geyer, Atoms in Strong Magnetic Fields, (Springer-Verlag, Berlin, 1994).
46. A. G. Abrashkevich, D. G. Abrashkevich, M. S. Kaschiev, and I. V. Puzynin, Comput. Phys. Commun. 85, 65 (1995).
47. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++ (Cambridge University Press, Cambridge, 2002).
48. C. Yannouleas and U. Landman, Phys. Rev. Lett. 82, 5325 (1999).
49. S. M. Reimann, M. Koskinen, M. Manninen, and B. R. Mottelson, Phys. Rev. Lett. 83, 3270 (1999).
50. C. Yannouleas and U. Landman, Phys. Rev. B 66, 115315 (2002).
51. W. Zhu, Ph.D. dissertation, University of Florida, 2005.
52. M. D. Jones, G. Ortiz, and D. M. Ceperley, Phys. Rev. A 54, 219 (1996).
53. Y. P. Kravchenko, M. A. Liberman, and B. Johansson, Phys. Rev. A 54, 287 (1996);
54. Y. P. Kravchenko and M. A. Liberman, Int. J. Quantum Chem. 62, 593 (1996).
55. J. P. Perdew and Y. Wang, Phys. Rev. B 45, 13244 (1992).
56. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
57. A. D. Becke, Phys. Rev. A 38, 3098 (1988).
58. C. Lee, W. Yang, and R. G. Parr, Phys. Rev. B 37, 785 (1988);
59. B. Miehlich, A. Savin, H. Stoll, and H. Preuss, Chem. Phys. Lett. 157, 200 (1989);
60. B. G. Johnson, P. M. W. Gill, and J. A. Pople, J. Chem. Phys. 98, 5612 (1993).