Finite size corrections to the conductance of ballistic wires

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 19, 1996, Pages 13448-13451

  Garcia Martin A ^a   Torres, J ^a   Saenz J ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004342505     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.13448     Document Type: Article

References (41)

1. C.J. Muller, J.M. van Ruitenbeek and L.J. de Jongh, Phys. Rev. Lett. 69, 140 (1992).
2. J. M. Krans, C. J. Muller, I.K. Yanson, Th.C.M. Govaert, R. Hesper and J.M. van Ruitenbeek, Phys. Rev. B 48, 14t721 (1993).
3. J. M. Krans, C. J. Muller, N. van der Post, F. R. Postma, A. P. Sutton, T. N. Todorov, and J. M. van Ruitenbeek, Phys. Rev. Lett. 74, 2146 (1995).
4. J.M. Krans, J.M. van Ruitenbeek, V.V. Fisun, I.K. Janson and L.J. de Jongh, Nature 375, 6534 (1995).
5. t, J.G. Rodrigo and S. Vieira, Phys. Rev. B 47, 12t345 (1993); C. Sirvent, J.G. Rodrigo, N. Agra&ıuml;
6. t, and S. Vieira, Physica B 218, 238 (1996).
7. J.I. Pascual, J. Méndez, J. Gómez-Herrero, A.M. Baró, N. García and Vu Thien Binh, Phys. Rev. Lett. 71, 1852 (1993).
8. J.I. Pascual, J. Méndez, J. Gómez-Herrero, A.M. Baró, N. García, U. Landman, W.D. Luedtke, E.N. Bogachek and H.P. Cheng, Science 267, 1793 (1995).
9. L. Olesen, E. Lægsgaard, I. Stensgaard, F. Besenbacher, J. Schiøtz, P. Stoltze, K.W. Jacobsen and J.K. Nørskov, Phys. Rev. Lett. 72, 2251 (1994).
10. L. Olesen, E. Lægsgaard, I. Stensgaard, F. Besenbacher, J. Schiøtz, P. Stoltze, K.W. Jacobsen and J.K. Nørskov, Phys. Rev. Lett. 74, 2147 (1995).
11. V.V. Dremov, S. Yu. Shapoval and E.V. Sukhorukov, Phys. Low-Dim. Struct. 11/12, 29 (1994).
12. D.P.E. Smith, Science 269, 371 (1995).
13. M. Brandbyge, J. Schiøtz, M.R. Sørensen, P. Stoltze, K.W. Jacobsen, J.K. Nørskov, L. Olesen, E Lægsgaard, I. Stensgaard and F. Besenbacher, Phys. Rev. B 52, 8499 (1995).
14. J.L. Costa-Kramer, N. García, P. García-Mochales and P.A. Serena, Surf. Sci. Lett. 342, L1144 (1995); J.L. Costa-Kramer and N. García (unpublished).
15. t, J.G. Rodrigo, G. Rubio, C. Sirvent and S. Vieira, Thin Solid Films 253, 199 (1994); N. Agra&ıuml;
16. t, G. Rubio and S. Vieira, Phys. Rev. Lett. 74, 3995 (1995).
17. A. Stalder and U. Dürig, Appl. Phys. Lett. 68, 637 (1996).
18. A. Stalder and U. Dürig, J. Vac. Sci. Technol. B 14, 1259 (1996).
19. t, and S. Vieira, Phys. Rev. Lett. 76, 2302 (1996).
20. Yu. V. Sharvin, Zh. Éksp. Teor. Fiz. 48, 984 (1965) [Sov. Phys. JETP 21, 655 (1965)];
21. G. Wexler, Proc. Phys. Soc. London 89, 927 (1966).
22. J.A. Torres, J.I. Pascual and J.J. Sáenz, Phys. Rev. B 49, 16t581 (1994).
23. R. Landauer, IBM J. Res. Dev. 1, 223 (1957).
24. E. N. Bogachek, A.M. Zagoskin and I.O. Kulik, Sov. J. Low Temp. Phys. 16, 796 (1990).
25. T. N. Todorov and A.P. Sutton, Phys. Rev. Lett. 70, 2138 (1993).
26. A. M. Bratkovsky, A.P. Sutton and T.N. Todorov, Phys. Rev. B 52, 5036 (1995).
27. J.A. Torres and J.J. Sáenz, in The Ultimate Limits of Fabrication and Measurement (Ref. 13), p. 129;
28. Physica B 218, 234 (1996).
29. N.D. Lang, Phys. Rev. B 52, 5335 (1995).
30. J. Ferrer, A. Martín-Rodero and F. Flores, Phys. Rev. B 38, 10t113 (1988).
31. J. Ferrer, A. Martín-Rodero and F. Flores C. Sirvent, J.G. Rodrigo, S. Vieira, L. Jurczyszyn, N. Mingo, and F. Flores, Phys. Rev. B 53, 16 086 (1996).
32. A.G. Scherbakov, E.N. Bogachek and U. Landman, Phys. Rev. B 53, 4054 (1996).
33. A.M. Bratkovsky and S.N. Rashkeev, Phys. Rev. B 53, 13t074 (1996).
34. For arbitrary geometries the situation is not as simple as that. As a matter of fact, as pointed out by V.I. Fal'ko and G.B. Lesovik [Solid State Commun. 84, 835 (1992)] this problem is closely related to the energy-spectrum problem of two-dimensional quantum billards (i.e., two-dimensional hard-wall boxes with a free-electron motion inside).
35. See, for example, G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1985).
36. V.I. Fal'ko and G.B. Lesovik, Solid State Commun. 84, 835 (1992).
37. O. Bohigas, M.J. Giannoni and C. Schmidt, Phys. Rev. Lett. 52, 1 (1984).
38. M. Berry, Proc. R. Soc. London Ser. A 400, 229 (1985).
39. M.G. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
40. U. Landman, W.D. Luedtke, N.A. Burnham and R.J. Colton, Science 248, 454 (1990).
41. J.A. Torres and J.J. Sáenz, Phys. Rev. Lett. 77, 2245 (1996).