Abstract.
We study theoretically the current-noise energy (voltage bias and temperature) dependence for a N-N'-S structure, where N and S stand for bulk normal metal and superconductor, respectively, and N' for a short diffusive normal metal. Using quasiclassical theory of current fluctuations we determine the noise for arbitrary distributions of channel transparencies on both junctions. The differential Fano factor turns out to depend on both junction transparencies and the ratio of the two conductances. We discuss analytically the coherent and incoherent regimes and the case when one of the two conductances dominates the other one. Measurement of differential conductance and noise can be used to probe the channel distribution of the interfaces. We discuss recent experiments in the light of our results.
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References
Y.M. Blanter, M. Büttiker, Phys. Rep. 336, 1 (2000)
Quantum Noise in Mesoscopic Physics edited by Y.V. Nazarov (Kluwer, Dordrecht, 2002)
G.E. Blonder, M. Tinkham, T.M. Klapwijk, Phys. Rev. B 25, 4515 (1982)
C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997)
V.A. Khlus, Sov. Phys. JETP 66, 1243 (1987)
M.J.M. de Jong, C.W.J. Beenakker, Phys. Rev. B 49(22), R16070 (1994)
X. Jehl, M. Sanquer, R. Calemczuk, D. Mailly, Nature (London) 405, 50 (2000)
A.A. Kozhevnikov, R.J. Schoelkopf, D.E. Prober, Phys. Rev. Lett. 84, 3398 (2000)
F. Pistolesi, G. Bignon, F.W.J. Hekking, Phys. Rev. B 69, 214518 (2004)
F. Lefloch, C. Hoffmann, M. Sanquer, D. Quirion, Phys. Rev. Lett. 90, 067002 (2003)
B.J. van Wees, P. de Vries, P. Magnee, T.M. Klapwijk, Phys. Rev. Lett. 69, 510 (1992)
A.F. Volkov, A.V. Zaitsev, T.M. Klapwijk, Physica C 210, 21 (1993)
F.W.J. Hekking, Y.V. Nazarov, Phys. Rev. Lett. 71, 1625 (1993)
F.W.J. Hekking, Y.V. Nazarov, Phys. Rev. B 49, 6847 (1994)
A. Kastalsky, A.W. Kleinsasser, L.H. Greene, R. Bhat, F.P. Milliken, J.P. Harbison, Phys. Rev. Lett. 67, 3026 (1991)
P. Charlat, H. Courtois, P. Gandit, D. Mailly, A.F. Volkov, B. Pannetier, Phys. Rev. Lett. 77, 4950 (1996)
W. Belzig, Y.V. Nazarov, Phys. Rev. Lett. 87, 067006 (2001)
Y.V. Nazarov, D.A. Bagrets, Phys. Rev. Lett. 88, 196801 (2002)
M.A. Skvortsov, A.I. Larkin, M.V. Feigelman, Phys. Rev. B 63, 134507 (2001)
E.V. Bezuglyi, E.N. Bratus', V.S. Shumeiko, V. Vinokur, Phys. Rev. B 70, 064507 (2004)
M. Houzet, F. Pistolesi, Phys. Rev. Lett. 92, 107004 (2004)
M.P.V. Stenberg, T.T. Heikkilä, Phys. Rev. B 66, 144504 (2002)
P. Samuelsson, Phys. Rev. B 67, 054508 (2003)
E. Toyoda, H. Takayanagi, H. Nakano, J. Phys. Soc. Jpn 69, 1801 (2000)
F. Giazotto, P. Pingue, F. Beltram, M. Lazzarino, D. Orani, S. Rubini, A. Franciosi, Phys. Rev. Lett. 87, 216808 (2001)
D. Quirion, C. Hoffmann, F. Lefloch, M. Sanquer, Phys. Rev. B 65, 100508(R) (2002)
H. Takayanagi, E. Toyoda, T. Akazaki, Physica C 367, 204 (2002)
A.A. Clerk, P.W. Brouwer, V. Ambegaokar, Phys. Rev. B 62, 10226 (2000)
G. Eilenberger, Z. Phys. 214, 195 (1968)
A.I. Larkin, Y.V. Ovchinninkov, Sov. Phys. JETP 26, 1200 (1968)
K.D. Usadel, Phys. Rev. Lett. 25, 507 (1970)
L.S. Levitov, H.W. Lee, G.B. Lesovik, J. Math. Phys. 37, 4845 (1996)
Y.V. Nazarov, Ann. Phys. (Leipzig) 8, 193 (1999)
W. Belzig, Y.V. Nazarov, Phys. Rev. Lett. 87, 197006 (2001)
Y.V. Nazarov, Superlattices Microstruct. 25, 1221 (1999)
W. Belzig, in Quantum Noise in Mesoscopic Physics, edited by Y.V. Nazarov (Kluwer, Dordrecht, 2003)
N.B. Kopnin, Theory of Nonequilibrium Superconductivity (Oxford University Press, 2001)
In reference houzet:2004 there is a misprint in the symmetry property
A.V. Zaitsev, Sov. Phys. JETP 59, 1015 (1984)
J. Börlin, W. Belzig, C. Bruder, Phys. Rev. Lett. 88, 197001 (2002)
Y. Tanaka, A.A. Golubov, S. Kashiwaya, Phys. Rev. B 68, 05413 (2003)
C.W.J. Beenakker, Phys. Rev. B 46, R12841 (1992)
K.E. Nagaev, M. Büttiker, Phys. Rev. B 63, R081301 (2001)
P. Samuelsson, M. Büttiker, Phys. Rev. B 66, 201306 (2002)
K.M. Schep, G.E.W. Bauer, Phys. Rev. Lett. 78, 3015 (1997)
C.W.J. Beenakker, in Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics, edited by I. Kulik, R. Ellialtioglu (Kluwer, Dordrecht, 2000)
H.B. Callen, T.A. Welton, Phys. Rev. 83, 34 (1951)
M. Vanevic, W. Belzig, Phys. Rev. B 72, 134522 (2005)
W. Belzig, P. Samuelsson, Europhys. Lett. 64, 253 (2003)
K.E. Nagaev, P. Samuelsson, S. Pilgram, Phys. Rev. B 63, 081301(R) (2002)
J.A. Melsen, P.W. Brower, K.M. Frahm, C.W.H. Beenakker, Eur. Phys. Lett. 35, 7 (1996)
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Bignon, G., Pistolesi, F. & Houzet, M. Voltage and temperature dependence of current noise in double-barrier normal-superconducting structures. Eur. Phys. J. B 50, 465–474 (2006). https://doi.org/10.1140/epjb/e2006-00161-6
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DOI: https://doi.org/10.1140/epjb/e2006-00161-6