Quantum mechanics of asymptotic effective potential and 'image' charge at metal surfaces

Progress in Surface Science

Volumn 54, Issue 2, 1997, Pages 115-163

  Sahni, Viraht ^a,b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; CORRELATION METHODS; MATHEMATICAL OPERATORS; METALS; QUANTUM THEORY;

COULOMB REPULSION; EXCHANGE CORRELATION ENERGY FUNCTION; EXCHANGE CORRELATION POTENTIAL; HERMITIAN OPERATORS; HOHENBERG-KOHN-SHAM DENSITY FUNCTIONAL THEORY;

SURFACE STRUCTURE;

EID: 0031072179     PISSN: 00796816     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0079-6816(97)00003-8     Document Type: Review

References (65)

1. A. Kiejna and K.F. Wojciechowski, Metal Surface Electron Physics, (Pergamon, Oxford 1996).
2. S.G. Davison and M. Steslicka, Basic Theory of Surface States Clarendon Press, Oxford 1992).
3. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
4. W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).
5. R.M. Dreizler and E.K.U. Gross, Density Functional Theory (Springer-Verlag, Berlin, 1990).
6. V. Sahni in Density Functional Theory, edited by R. Nalewajski, (Top. Curr. Chem. 182, 1 (1996) (Springer-Verlag, Heidelberg 1996).
7. V. Sahni Phys. Rev. A55, (1997).
8. M.K. Harbola and V. Sahni, Phys. Rev. Lett, 62, 489 (1989); V. Sahni and M.K. Harbola, Int. J. Quantum Chem. Symp. 24, 569 (1990); M.K. Harbola and V. Sahni, J. Chem. Educ. 70, 920 (1993).
9. M.K. Harbola and V. Sahni, Phys. Rev. Lett, 62, 489 (1989); V. Sahni and M.K. Harbola, Int. J. Quantum Chem. Symp. 24, 569 (1990); M.K. Harbola and V. Sahni, J. Chem. Educ. 70, 920 (1993).
10. M.K. Harbola and V. Sahni, Phys. Rev. Lett, 62, 489 (1989); V. Sahni and M.K. Harbola, Int. J. Quantum Chem. Symp. 24, 569 (1990); M.K. Harbola and V. Sahni, J. Chem. Educ. 70, 920 (1993).
11. A. Holas and N.H. March, Phys. Rev. A51, 2040 (1995).
12. V. Sahni and K.-P. Bohnen, Phys. Rev. B29, 1045 (1984).
13. V. Sahni and K.-P. Bohnen, Phys. Rev. B31, 7651 (1985).
14. M.K. Harbola and V. Sahni, Phys. Rev. B37, 745 (1988).
15. V. Sahni, Surf. Sci. 213, 226 (1989).
16. A. Solomatin and V. Sahni, Phys. Lett. A212, 263 (1996).
17. A. Solomatin and V. Sahni (submitted to Annals of Physics).
18. A. Solomatin and V. Sahni (submitted to Phys. Rev. B).
19. J. Bardeen, Phys. Rev. 49, 653 (1936).
20. J.P. Perdew, Prog. Surf. Sci. 48, 245 (1995); J.P. Perdew, H.Q. Tran, and E.D. Smith, Phys. Rev. B42, 11627 (1990); H.B. Shore and J.H. Rose, Phys. Rev. Lett. 66, 2519 (1991).
21. J.P. Perdew, Prog. Surf. Sci. 48, 245 (1995); J.P. Perdew, H.Q. Tran, and E.D. Smith, Phys. Rev. B42, 11627 (1990); H.B. Shore and J.H. Rose, Phys. Rev. Lett. 66, 2519 (1991).
22. J.P. Perdew, Prog. Surf. Sci. 48, 245 (1995); J.P. Perdew, H.Q. Tran, and E.D. Smith, Phys. Rev. B42, 11627 (1990); H.B. Shore and J.H. Rose, Phys. Rev. Lett. 66, 2519 (1991).
23. L.J. Sham, Phys. Rev. B32, 3876 (1985).
24. C.-O. Almbladh and U. von Barth, Phys. Rev. 31, 3231 (1985); A.R. Williams and U. von Barth, in Theory of the Inhomogeneous Electron Gas, edited by S. Lundqvist and N.H. March (Plenum, New York, 1983).
25. C.-O. Almbladh and U. von Barth, Phys. Rev. 31, 3231 (1985); A.R. Williams and U. von Barth, in Theory of the Inhomogeneous Electron Gas, edited by S. Lundqvist and N.H. March (Plenum, New York, 1983).
26. A.G. Eguiluz, M. Heinrichsmeier, A. Fleszar and W. Hanke, Phys. Rev. Lett. 68, 1359 (1992); A.G. Eguiluz, J.J. Deisz, M. Heinrichsmeier, A. Fleszar and W. Hanke, Int. J. Quantum Chem. Symp. 26, 837 (1992).
27. A.G. Eguiluz, M. Heinrichsmeier, A. Fleszar and W. Hanke, Phys. Rev. Lett. 68, 1359 (1992); A.G. Eguiluz, J.J. Deisz, M. Heinrichsmeier, A. Fleszar and W. Hanke, Int. J. Quantum Chem. Symp. 26, 837 (1992).
28. M.K. Harbola and V. Sahni, Phys. Rev. B36, 5024 (1987).
29. M.K. Harbola and V. Sahni, Phys. Rev. B39, 10437 (1989).
30. M.K. Harbola and V. Sahni, Int. J. Quantum Chem. Symp. 27, 101 (1993).
31. V. Sahni and J.B. Krieger, Phys. Rev. A11, 409 (1975); V. Sahni, J.B. Krieger and J. Gruenebaum, Phys. Rev. A12, 768 (1975).
32. V. Sahni and J.B. Krieger, Phys. Rev. A11, 409 (1975); V. Sahni, J.B. Krieger and J. Gruenebaum, Phys. Rev. A12, 768 (1975).
33. P.A.M. Dirac, Proc. Cambridge Philos. Soc. 26, 376 (1930).
34. J.P. Perdew, R.G. Parr, M. Levy, and J.L. Balduz, Phys. Rev. Lett. 49, 1691 (1982); M. Levy, J.P. Perdew and V. Sahni, Phys. Rev. A30, 2745 (1984); C.O. Almbladh and U. von Barth, Phys. Rev. B31 3231 (1985).
35. J.P. Perdew, R.G. Parr, M. Levy, and J.L. Balduz, Phys. Rev. Lett. 49, 1691 (1982); M. Levy, J.P. Perdew and V. Sahni, Phys. Rev. A30, 2745 (1984); C.O. Almbladh and U. von Barth, Phys. Rev. B31 3231 (1985).
36. J.P. Perdew, R.G. Parr, M. Levy, and J.L. Balduz, Phys. Rev. Lett. 49, 1691 (1982); M. Levy, J.P. Perdew and V. Sahni, Phys. Rev. A30, 2745 (1984); C.O. Almbladh and U. von Barth, Phys. Rev. B31 3231 (1985).
37. J.C. Slater, Phys. Rev. 81, 385 (1951).
38. V.R. Shaginyan, Phys. Rev. A47, 1507 (1993).
39. R.T. Sharp and G.K. Horton, Phys. Rev. 90, 317 (1953); J.D. Talman and W.F. Shadwick, Phys. Rev. A14, 36 (1976).
40. R.T. Sharp and G.K. Horton, Phys. Rev. 90, 317 (1953); J.D. Talman and W.F. Shadwick, Phys. Rev. A14, 36 (1976).
41. V. Fock, Z. Physik 61, 126 (1930); Z. Physik 62, 795 (1930); J.C. Slater, Phys. Rev. 35, 210 (1930).
42. V. Fock, Z. Physik 61, 126 (1930); Z. Physik 62, 795 (1930); J.C. Slater, Phys. Rev. 35, 210 (1930).
43. V. Fock, Z. Physik 61, 126 (1930); Z. Physik 62, 795 (1930); J.C. Slater, Phys. Rev. 35, 210 (1930).
44. V. Sahni and M. Levy, Phys. Rev. B33, 3869 (1986).
45. M. Levy and N.H. March, Phys. Rev. A55, (1997).
46. M. Levy and J.P. Perdew, Phys. Rev. A32, 2010 (1985).
47. A. Sugiyama, J. Phys. Soc. Jpn. 15, 965 (1960).
48. N.W. Ashcroft, Phys. Lett. 23, 48 (1966).
49. V. Sahni, C.Q. Ma and J.S. Flamholz, Phys. Rev. B18, 3931 (1978).
50. C.Q. Ma and V. Sahni, Phys. Rev. B20, 2291 (1979).
51. H.J. Juretschke, Phys. Rev. B36, 6168 (1987).
52. V. Sahni, J.B. Krieger, and J. Gruenebaum, Phys. Rev. B12, 3503 (1975); V. Sahni and J. Gruenebaum, Phys. Rev. B15, 1929 (1977).
53. V. Sahni, J.B. Krieger, and J. Gruenebaum, Phys. Rev. B12, 3503 (1975); V. Sahni and J. Gruenebaum, Phys. Rev. B15, 1929 (1977).
54. J. A. Rudnick, Ph.D. thesis, University of California, San Diego, 1970, (unpublished).
55. J.P. Perdew and A. Zunger, Phys. Rev. B23, 5048 (1981).
56. D.M. Ceperley and B.J. Alder, Phys. Rev. Lett. 45, 566 (1980).
57. Y. Wang, J.P. Perdew, J.A. Chevary, L.D. Macdonald, and S.H. Vosko, Phys. Rev. A41, 78 (1990).
58. V. Sahni in Density-Functional Theory, Vol. 337 of NATO Advanced Study Institute series B: Physics, edited by E.K.U. Gross and R.M. Dreizler (Plenum, New York, 1995); V. Sahni and M. Slamet, Phys. Rev. B48, 1910 (1993); M. Slamet and V. Sahni, Phys. Rev. B45, 4013 (1992); V. Sahni, in Recent Advances in Density Functional Methods, Part I, edited by D.P. Chong (World Scientific, 1995).
59. V. Sahni in Density-Functional Theory, Vol. 337 of NATO Advanced Study Institute series B: Physics, edited by E.K.U. Gross and R.M. Dreizler (Plenum, New York, 1995); V. Sahni and M. Slamet, Phys. Rev. B48, 1910 (1993); M. Slamet and V. Sahni, Phys. Rev. B45, 4013 (1992); V. Sahni, in Recent Advances in Density Functional Methods, Part I, edited by D.P. Chong (World Scientific, 1995).
60. V. Sahni in Density-Functional Theory, Vol. 337 of NATO Advanced Study Institute series B: Physics, edited by E.K.U. Gross and R.M. Dreizler (Plenum, New York, 1995); V. Sahni and M. Slamet, Phys. Rev. B48, 1910 (1993); M. Slamet and V. Sahni, Phys. Rev. B45, 4013 (1992); V. Sahni, in Recent Advances in Density Functional Methods, Part I, edited by D.P. Chong (World Scientific, 1995).
61. V. Sahni in Density-Functional Theory, Vol. 337 of NATO Advanced Study Institute series B: Physics, edited by E.K.U. Gross and R.M. Dreizler (Plenum, New York, 1995); V. Sahni and M. Slamet, Phys. Rev. B48, 1910 (1993); M. Slamet and V. Sahni, Phys. Rev. B45, 4013 (1992); V. Sahni, in Recent Advances in Density Functional Methods, Part I, edited by D.P. Chong (World Scientific, 1995).
62. N.D. Lang, Solid State Phys. 28, 225 (1973); and in Theory of the Inhomogeneous Electron Gas, edited by S. Lundqvist and N.H. March (Plenum, New York, 1983).
63. N.D. Lang, Solid State Phys. 28, 225 (1973); and in Theory of the Inhomogeneous Electron Gas, edited by S. Lundqvist and N.H. March (Plenum, New York, 1983).
64. V. Sahni, J. Gruenebaum, and J.P. Perdew, Phys. Rev. B26, 4371 (1982).
65. J. Bardeen, Surf. Sci. 2, 381 (1964).