On the equivalence of different techniques for evaluating the Green function for a semi-infinite system using a localized basis

Journal of Physics Condensed Matter

Volumn 16, Issue 21, 2004, Pages

  Velev, Julian ^a   Butler, William ^b  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b University of Alabama   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; INFORMATION TECHNOLOGY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES;

GREEN FUNCTION (GF); MATRIX FACTORIZATION; SEMI-INFINITE SYSTEMS; WAVEFUNCTIONS;

GREEN'S FUNCTION;

EID: 2942640269     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/16/21/R01     Document Type: Review

References (29)

1. Negele J W and Orland H 1998 Quantum Many-Particle Systems (New York: Perseus Book Group)
2. Stone A D and Szafer A 1988 IBM J. Res. Dev. 32 384
3. Butler W H, Zhang X-G and Nicholson D M C 1995 Phys. Rev. B 52 13399
4. Butler W H 1985 Phys. Rev. B 31 3260
5. Elliott R, Krumhansl J A and Leath P L 1974 Rev. Mod. Phys. 46 465
6. García-Moliner F and Velasco V R 1992 Theory of Single and Multiple Interfaces (Singapore: World Scientific)
7. Datta S 1997 Electronic Transport in Mesoscopic Systems (Cambridge: Cambridge University Press)
8. Tsymbal E Y and Pettifor D G 2001 Solid State Phys. 56 113
9. Mathon J and Umerski A 2001 Phys. Rev. B 63 220403(R)
10. Maradudin A A 1971 Theory of lattice dynamics in the harmonic approximation Solid State Physics Suppl. 3 (New York: Academic)
11. Tewary V K and Thomson R 1992 J. Mater. Res. 7 1018
12. Ting T C T 1996 Anisotropic Elasticity (Oxford: Oxford University Press)
13. Ferreira M S, Bauer G E W and Wapenaar C P A 2002 Ultrasonics 40 355
14. Gonis A, Zhang X-G, MacLaren J M and Crampin S 1990 Phys. Rev. B 42 3798
15. Wenzien B, Kudmovský J, Drchal V and Šob M 1989 J. Phys.: Condens. Matter 1 9893
16. Pollmann J and Pantelides S 1978 Phys. Rev. B 18 5524
17. Haydock R, Heine V and Kelly M 1972 J. Phys. C: Solid State Phys. 5 2845 Haydock R, Heine V and Kelly M 1975 J. Phys. C: Solid State Phys. 8 2591
18. Haydock R, Heine V and Kelly M 1972 J. Phys. C: Solid State Phys. 5 2845 Haydock R, Heine V and Kelly M 1975 J. Phys. C: Solid State Phys. 8 2591
19. Pettifor D G and Weaine D L (ed) 1985 The Recursion Method and its Applications (Berlin: Springer)
20. Falicov L and Yndurain F 1975 J. Phys. C: Solid State Phys. 8 147
21. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1997 Numerical Recipes in Fortran 77 (Cambridge: Cambridge University Press)
22. Lannoo M and Friedel P 1991 Atomic and Electronic Structure of Surfaces (Berlin: Springer)
23. López-Sancho M, López-Sancho J and Rubio J 1984 J. Phys. F: Met. Phys. 14 1205 López-Sancho M, López-Sancho J and Rubio J 1985 J. Phys. F: Met. Phys. 15 851
24. López-Sancho M, López-Sancho J and Rubio J 1984 J. Phys. F: Met. Phys. 14 1205 López-Sancho M, López-Sancho J and Rubio J 1985 J. Phys. F: Met. Phys. 15 851
25. Allen R 1979 Phys. Rev. B 20 1454
26. Lee D H and Joannopoulos J D 1981 Phys. Rev. B 23 4988 Lee D H and Joannopoulos J D 1981 Phys. Rev. B 23 4997
27. Lee D H and Joannopoulos J D 1981 Phys. Rev. B 23 4988 Lee D H and Joannopoulos J D 1981 Phys. Rev. B 23 4997
28. Chang Y-C and Schulman J 1982 Phys. Rev. B 25 3975
29. Gonis A 1992 Green Functions for Ordered and Disordered Systems (Amsterdam: North-Holland)