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.
References
R. Landauer, IBM J. Res. Develop 1, 233 (1957)
M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986): M. Büttiker, Phys. Rev. Lett. IBM J. Res. Develop 32, 317 (1988)
Y. Imry, in Directions in Condensed Matter Physics, edited by G. Grinstein, E. Mazenko (World Scientific, Singapore, 1986)
A.D. Stoner, A. Szafer, IBM J. Res. Develop 32, 384 (1988)
R. Kubo, Lectures in Theoretical Physics, Vol. I (Wiley-Interscience, New York, 1959)
E.N. Economou, C.M. Soukoulis, Phys. Rev. Lett. 46, 618 (1981)
D.S. Fisher, P.A. Lee, Phys. Rev. B 23, 6851 (1981)
F. Sols, Phys. Rev. Lett. 67, 2874 (1991)
J. Nöckel, A.D. Stone, H.U. Baranger, Phys. Rev. B 48, 17569 (1993)
M. Büttiker, Y. Imry, R. Landauer, Phys. Lett. A 96, 365 (1983)
V. Chandrasekar, Phys. Rev. Lett. 67, 3578 (1991)
R. Landauer, M. Büttiker, Phys. Rev. Lett. 54, 2049 (1985)
R. Landauer, Phys. Rev. B 33, 6497 (1986)
Y. Gefen, D.J. Thouless, Phys. Rev. Lett. 59, 1752 (1987)
Y. Gefen, E. Ben-Jacob, A.O. Caldeira, Phys. Rev. B 36, 270 (1987)
M. Büttiker, Phys. Rev. B 32, R1846 (1985)
J.L. Dámato, H.M. Pastawski, Phys. Rev. B 41, 7411 (1990)
V.I. Yudson, E. Kanzieper, V.E. Kravtsov, Phys. Rev. B 64, 45310 (2001)
A. Kamenev, W. Kohn, Phys. Rev. B 63, 155304 (2001)
R. Gebauer, R. Car, cond-mat/0301314
L. Arrachea, Phys. Rev. B 66, 45315 (2002)
H.M. Pastawski, Phys. Rev. B 46, 4053 (1992)
A.P. Jauho, N. Wingreen, Y. Meir, Phys. Rev. B 50, 5528 (1994)
J.H. Shirley, Phys. Rev. B 138, 979 (1065)
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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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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DOI: https://doi.org/10.1140/epjb/e2003-00342-9