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Transport properties of a mesoscopic metallic loop connected to leads

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Abstract.

We study the transport properties of a metallic ring threaded by a magnetic flux varying linearly in time \(\Phi_M(t) = \Phi t\) with a constriction and connected to two external particle reservoirs. This setup contains as limiting cases the experimental arrangements used to define Kubo and Landauer conductances. We employ a formalism based in Baym-Kadanoff-Keldysh non-equilibrium Green functions to calculate the conductance of the system and the dissipated power. We compare the transport behavior in different limits of the geometrical configuration.

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References

  1. R. Landauer, IBM J. Res. Develop 1, 233 (1957)

    Google Scholar 

  2. M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986): M. Büttiker, Phys. Rev. Lett. IBM J. Res. Develop 32, 317 (1988)

    Article  Google Scholar 

  3. Y. Imry, in Directions in Condensed Matter Physics, edited by G. Grinstein, E. Mazenko (World Scientific, Singapore, 1986)

  4. A.D. Stoner, A. Szafer, IBM J. Res. Develop 32, 384 (1988)

    Google Scholar 

  5. R. Kubo, Lectures in Theoretical Physics, Vol. I (Wiley-Interscience, New York, 1959)

  6. E.N. Economou, C.M. Soukoulis, Phys. Rev. Lett. 46, 618 (1981)

    Article  Google Scholar 

  7. D.S. Fisher, P.A. Lee, Phys. Rev. B 23, 6851 (1981)

    Article  MathSciNet  Google Scholar 

  8. F. Sols, Phys. Rev. Lett. 67, 2874 (1991)

    Article  Google Scholar 

  9. J. Nöckel, A.D. Stone, H.U. Baranger, Phys. Rev. B 48, 17569 (1993)

    Article  Google Scholar 

  10. M. Büttiker, Y. Imry, R. Landauer, Phys. Lett. A 96, 365 (1983)

    Article  Google Scholar 

  11. V. Chandrasekar, Phys. Rev. Lett. 67, 3578 (1991)

    Article  Google Scholar 

  12. R. Landauer, M. Büttiker, Phys. Rev. Lett. 54, 2049 (1985)

    Article  Google Scholar 

  13. R. Landauer, Phys. Rev. B 33, 6497 (1986)

    Article  Google Scholar 

  14. Y. Gefen, D.J. Thouless, Phys. Rev. Lett. 59, 1752 (1987)

    Article  Google Scholar 

  15. Y. Gefen, E. Ben-Jacob, A.O. Caldeira, Phys. Rev. B 36, 270 (1987)

    Article  Google Scholar 

  16. M. Büttiker, Phys. Rev. B 32, R1846 (1985)

  17. J.L. Dámato, H.M. Pastawski, Phys. Rev. B 41, 7411 (1990)

    Article  Google Scholar 

  18. V.I. Yudson, E. Kanzieper, V.E. Kravtsov, Phys. Rev. B 64, 45310 (2001)

    Article  Google Scholar 

  19. A. Kamenev, W. Kohn, Phys. Rev. B 63, 155304 (2001)

    Article  Google Scholar 

  20. R. Gebauer, R. Car, cond-mat/0301314

  21. L. Arrachea, Phys. Rev. B 66, 45315 (2002)

    Article  Google Scholar 

  22. H.M. Pastawski, Phys. Rev. B 46, 4053 (1992)

    Article  Google Scholar 

  23. A.P. Jauho, N. Wingreen, Y. Meir, Phys. Rev. B 50, 5528 (1994)

    Article  Google Scholar 

  24. J.H. Shirley, Phys. Rev. B 138, 979 (1065)

    Google Scholar 

  25. P. Hänggi, in Quantum Transport and Dissipation, T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, W. Zwerger (Wiley-VCH, Weinheim, 1998)

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Correspondence to L. Arrachea.

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Received: 19 September 2003, Published online: 8 December 2003

PACS:

72.10.Bg General formulation of transport theory - 73.40.Jn Metal-to-metal contacts - 73.40.Gk Tunneling

L. Arrachea: Permanent address: Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria Pabellón I, (1428) Buenos Aires, Argentina

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Arrachea, L. Transport properties of a mesoscopic metallic loop connected to leads. Eur. Phys. J. B 36, 253–262 (2003). https://doi.org/10.1140/epjb/e2003-00342-9

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