Recursive Green-function study of Wannier-Stark effect in tight-binding systems

Journal of Physics Condensed Matter

Volumn 9, Issue 30, 1997, Pages 6371-6382

  Davison, S G ^a   English, R A ^a   Miskovic Z L ^a,d   Goodman, F O ^a   Amos, A T ^a,b   Burrows, B L ^a,c  

^a UNIVERSITY OF WATERLOO   (Canada)

^b ASTON UNIVERSITY   (United Kingdom)

^c STAFFORDSHIRE UNIVERSITY   (United Kingdom)

^d UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004233077     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/9/30/006     Document Type: Article

References (39)

1. Zener C 1934 Proc. R. Soc (London) 145 523
2. Wannier G H 1960 Phys. Rev. 117 432
3. Wannier G H 1962 Rev. Mod. Phys. 34 645 Zak J 1968 Phys. Rev. Lett. 20 1477 Zak J 1972 Solid State Physics vol 27 ed F Seitz et al (New York: Academic) pp 1-61 Avron J E, Zak J, Grossman A and Gunther L 1977 J. Math. Phys. 18 918 Churchill J N and Holmstrom F E 1982 Am. J. Phys. 50 848
4. Wannier G H 1962 Rev. Mod. Phys. 34 645 Zak J 1968 Phys. Rev. Lett. 20 1477 Zak J 1972 Solid State Physics vol 27 ed F Seitz et al (New York: Academic) pp 1-61 Avron J E, Zak J, Grossman A and Gunther L 1977 J. Math. Phys. 18 918 Churchill J N and Holmstrom F E 1982 Am. J. Phys. 50 848
5. Wannier G H 1962 Rev. Mod. Phys. 34 645 Zak J 1968 Phys. Rev. Lett. 20 1477 Zak J 1972 Solid State Physics vol 27 ed F Seitz et al (New York: Academic) pp 1-61 Avron J E, Zak J, Grossman A and Gunther L 1977 J. Math. Phys. 18 918 Churchill J N and Holmstrom F E 1982 Am. J. Phys. 50 848
6. Wannier G H 1962 Rev. Mod. Phys. 34 645 Zak J 1968 Phys. Rev. Lett. 20 1477 Zak J 1972 Solid State Physics vol 27 ed F Seitz et al (New York: Academic) pp 1-61 Avron J E, Zak J, Grossman A and Gunther L 1977 J. Math. Phys. 18 918 Churchill J N and Holmstrom F E 1982 Am. J. Phys. 50 848
7. Wannier G H 1962 Rev. Mod. Phys. 34 645 Zak J 1968 Phys. Rev. Lett. 20 1477 Zak J 1972 Solid State Physics vol 27 ed F Seitz et al (New York: Academic) pp 1-61 Avron J E, Zak J, Grossman A and Gunther L 1977 J. Math. Phys. 18 918 Churchill J N and Holmstrom F E 1982 Am. J. Phys. 50 848
8. Hacker K and Obermair G 1970 Z. Phys. 234 1 Fukujama H, Bari R and Fogedby H C 1973 Phys. Rev. B 8 5579 Saito M 1973 J. Phys. C 6 3255 Richardson M J and Davison S G 1974 Can. J. Phys. 52 2395 Leo J and McKinnon A 1989 J. Phys.: Condens. Matter 1 1449
9. Hacker K and Obermair G 1970 Z. Phys. 234 1 Fukujama H, Bari R and Fogedby H C 1973 Phys. Rev. B 8 5579 Saito M 1973 J. Phys. C 6 3255 Richardson M J and Davison S G 1974 Can. J. Phys. 52 2395 Leo J and McKinnon A 1989 J. Phys.: Condens. Matter 1 1449
10. Hacker K and Obermair G 1970 Z. Phys. 234 1 Fukujama H, Bari R and Fogedby H C 1973 Phys. Rev. B 8 5579 Saito M 1973 J. Phys. C 6 3255 Richardson M J and Davison S G 1974 Can. J. Phys. 52 2395 Leo J and McKinnon A 1989 J. Phys.: Condens. Matter 1 1449
11. Hacker K and Obermair G 1970 Z. Phys. 234 1 Fukujama H, Bari R and Fogedby H C 1973 Phys. Rev. B 8 5579 Saito M 1973 J. Phys. C 6 3255 Richardson M J and Davison S G 1974 Can. J. Phys. 52 2395 Leo J and McKinnon A 1989 J. Phys.: Condens. Matter 1 1449
12. Hacker K and Obermair G 1970 Z. Phys. 234 1 Fukujama H, Bari R and Fogedby H C 1973 Phys. Rev. B 8 5579 Saito M 1973 J. Phys. C 6 3255 Richardson M J and Davison S G 1974 Can. J. Phys. 52 2395 Leo J and McKinnon A 1989 J. Phys.: Condens. Matter 1 1449
13. Zhao X G 1991 J. Phys.: Condens. Matter 3 6021 Zhao X G 1991 Phys. Lett. A154 275
14. Zhao X G 1991 J. Phys.: Condens. Matter 3 6021 Zhao X G 1991 Phys. Lett. A154 275
15. Zhao X G 1992 Phys. Lett. A167 391
16. Ahn D 1993 Phys. Rev. B 48 7981
17. Anwar A F M and Jahan M M 1994 Phys. Rev. B 50 10864
18. Vrubel M M and Borzdov V M 1995 Physica B 215 201
19. Sari H, Metin H, Sökmen I, Elagöz S and Ergün Y 1995 Superlat. Microst. 17 457
20. Cohen G, Bar-Joseph I and Shtrikman H 1994 Phys. Rev. B 50 17316
21. Kavaliauskas J, Kivaitė G, Galickas A, Šimkienė I, Olin U and Ottosson M 1995 Phys. Status Solidi b 191 155
22. Lukes T and Somaratna K T S 1969 J. Phys. C 2 586 Lukes T and Somaratna K T S 1969 Phys. Lett. A29 69 Lukes T and Morgan D J 1973 Phys. Status Solidi b 57 K47
23. Lukes T and Somaratna K T S 1969 J. Phys. C 2 586 Lukes T and Somaratna K T S 1969 Phys. Lett. A29 69 Lukes T and Morgan D J 1973 Phys. Status Solidi b 57 K47
24. Lukes T and Somaratna K T S 1969 J. Phys. C 2 586 Lukes T and Somaratna K T S 1969 Phys. Lett. A29 69 Lukes T and Morgan D J 1973 Phys. Status Solidi b 57 K47
25. Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
26. Moyer C A 1973 Phys. Rev. B 7 5025
27. Dolcher V, Grosso G, Martinelli L and Parravicini G P 1996 Phys. Rev. B 53 10 813
28. Gvozdikov V M 1996 Phys. Rev. B 53 10 133
29. Haydock R 1980 Solid State Physics vol 35 ed F Seitz et al (New York: Academic) pp 215-94
30. Pendry J B, Prêtre A, Rous P J and Martín-Moreno L 1991 Surf. Sci. 244 160
31. Davison S G and Stȩślicka M 1992 Basic Theory of Surface States (Oxford: Clarendon)
32. Lorentzen L and Waadeland H 1992 Continued Fractions with Applications (Amsterdam: North-Holland)
33. Olver F W J 1972 Handbook of Mathematical Functions ed M Abramowitz and I A Stegun (Washington DC: US Department of Commerce)
34. Priestley H A 1985 Introduction to Complex Analysis (Oxford: Oxford University Press)
35. English R A, Davison S G, Mišković Z L, Goodman F O, Amos A T and Burrows B L 1996 Prog. Surf. Sci. 53 323
36. English R A, Davison S G, Mišković Z L, Goodman F O, Amos A T and Burrows B L 1997 Prog. Surf. Sci. 54 241
37. Wada Y, Uda T, Lutwyche M, Kondo S and Heike S 1993 J. Appl. Phys. 74 7321 Kaetter E, Drakova D and Doyen G 1996 Phys. Rev. B 53 16 595 Gao S, Persson M and Lundquist B I 1997 Phys. Rev. B 55 4825
38. Wada Y, Uda T, Lutwyche M, Kondo S and Heike S 1993 J. Appl. Phys. 74 7321 Kaetter E, Drakova D and Doyen G 1996 Phys. Rev. B 53 16 595 Gao S, Persson M and Lundquist B I 1997 Phys. Rev. B 55 4825
39. Wada Y, Uda T, Lutwyche M, Kondo S and Heike S 1993 J. Appl. Phys. 74 7321 Kaetter E, Drakova D and Doyen G 1996 Phys. Rev. B 53 16 595 Gao S, Persson M and Lundquist B I 1997 Phys. Rev. B 55 4825