Discrete versus continuous wires on quantum networks

Journal of Physical Chemistry B

Volumn 113, Issue 12, 2009, Pages 3676-3680

  Aharony, Amnon ^a,b   Entin Wohlman, Ora ^a,b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; LATTICE CONSTANTS; WIRE;

DINGER EQUATIONS; ENERGY SPECTRUM; FINITE NUMBERS; FINITE SYSTEMS; MATCHING CONDITIONS; MESOSCOPIC SYSTEMS; ONE-DIMENSIONAL; QUANTUM NETWORKS; SINGLE ELECTRONS; SPECIAL ENERGIES; TIGHT BINDINGS; TIGHT-BINDING MODELS;

BINDING ENERGY;

EID: 65249185118     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp8065986     Document Type: Article

References (31)

1. Rudenberg, K.; Scherr, C. J. Chem. Phys. 1953, 21, 1565.
2. Griffith, J. S. Trans. Faraday Soc. 1953, 49, 345.
3. de Gennes, P. G. C. R. Seances Acad. Sci., Ser. B 1981, 292, 9.
4. de Gennes, P. G. C. R. Seances Acad. Sci., Ser. B 1981, 292, 279.
5. Alexander, S. Phys. Rev. B 1983, 27, 1541.
6. Smilansky, U. J. Phys. A: Math. Theor. 2007, 40, F621.
7. Büttiker, M.; Imry, Y.; Azbel, M. Ya. Phys. Rev. A 1984, 30, 1982.
8. Gefen, Y.; Imry, Y.; Azbel, M. Ya. Phys. Rev. Lett. 1984, 52, 129.
9. Büttiker, M. Phys. Rev. B 1985, 32, 1846.
10. Shapiro, B. Phys. Rev. Lett. 1983, 50, 747.
11. Kowal, D.; Sivan, U.; Entin-Wohlman, O.; Imry, Y. Phys. Rev. B 1990, 42, 9009.
12. Kottos, T.; Smilansky, U. Phys. Rev. Lett. 2000, 85, 968.
13. Xia, J.-B. Phys. Rev. B 1992, 45, 3593.
14. Deo, P. S.; Jayannavar, A. M. Phys. Rev. B 1994, 50, 11629.
15. Kottos, T.; Smilansky, U. Phys. Rev. Lett. 1997, 79, 4794.
16. Akkermans, E.; Comtet, A.; Desbois, J.; Montambaux, G.; Texier, C. Ann. Phys. 2000, 284, 10.
17. Vidal, J.; Montambaux, G.; Douçot, B. Phys. Rev. B 2000, 62, R16294.
18. Bercioux, D.; Governale, M.; Cataudella, V.; Ramaglia, V. M. Phys. Rev. Lett. 2004, 93, 056802.
19. Bercioux, D.; Governale, M.; Cataudella, V.; Ramaglia, V. M. Phys. Rev. B 2005, 72, 075305.
20. Avron, J. E.; Sadun, L. Ann. Phys. 1991, 206, 440.
21. Kottos, T.; Smilasky, U. Ann. Phys. 1999, 274, 76.
22. Texier, C.; Montambaux, G. J. Phys. A: Math. Gen. 2001, 34, 10307.
23. Texier, C.; Büttiker, M. Phys. Rev. B 2003, 67, 245410.
24. Ashcroft, N. W.; Mermin, N. D. Solid State Physics; Saundes College: Philadelphia, PA, 1976; Chapter 10 .
25. Vidal, J.; Mosseri, R.; Douçot, B. Phys. Rev. Lett. 1998, 81, 5888.
26. Entin-Wohlman, O.; Aharony, A.; Imry, Y.; Levinson, Y.; Schiller, A. Phys. Rev. Lett. 2002, 88, 166801.
27. Aharony, A.; Entin-Wohlman, O.; Halperin, B. I.; Imry, Y. Phys. Rev. B 2002, 66, 115311.
28. Aharony, A.; Entin-Wohlman, O.; Tokura, Y.; Katsumoto, S. Phys. Rev. B 2008, 78, 125328.
29. Aharonov, Y.; Bohm, D. Phys. Rev. 1959, 115, 485.
30. (a) Rashba, E. I. Fiz. Tverd. Tela (Leningrad) 1960, 2, 1224.
31. (b) Rashba, E. I. Sov. Phys. Solid State 1960, 2, 1109.