Abstract
The Andreev Reflection is the key mechanism for thesuperconducting proximity effect. It provides phasecorrelations in a system of non-interacting electrons atmesoscopic scales, i.e. over distances much larger than themicroscopic lengths: Fermi wavelength and elastic electronmean free path. This field of research has attracted anincreasing interest in the recent years in part because of thetremendous development of nanofabrication technologies, andalso because of the richness of the involved quantum effects.In this paper we review some recently achieved advances. Wealso discuss new open questions, in particular non-equilibriumeffects and proximity effect in systems with ferromagneticelements.
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REFERENCES
G. Deutscher and P. G. de Gennes, in Superconductivity, Vol. 2, R. D. Parks, ed. Marcel Dekker, New York (1969), p. 1005
E. L. Wolf, Principle of Electron Tunneling Spectroscopy, Oxford University Press, (1985)
A. Gilabert, Annales de Physique 2, 203 (1977)
Proceedings of the NATO ARL on Mesoscopic Superconductivity, ed. F. W. J. Hekking, G. Schon and D. V. Averin, Physica B 203 3/4 (1994)
Coulomb and Interference effects in Small Electronic Structures, ed. C. Glattli, M. Sanquer, J. Trân Thanh Van, Series Moriond Condensed Matter Physics, Editions Frontiéres, (1994); Correlated Fermions and Transport in Mesoscopic Systems, ed. Th. Martin, G. Montambaux, J. Trân Thanh Van, Series Moriond Condensed Matter Physics, Editions Frontiéres, (1996); Quantum Physics at Mesoscopic Scales, ed. C. Glattli, M. Sanquer, J. Trân Thanh Van, Series Moriond Condensed Matter Physics, Editions Frontiéres, (1999)
D. C. Ralph and V. Ambegaokar, Comments Condo Mat. 18, 249 (1998)
Mesoscopic Electron Transport, ed. L. L. Sohn, L. Kouwenhoven and G. Schön, NATO ASI Series E 345, Kluwer Academic Publishers (1997)
Special Issue of Superlattices and Microstructures on Mesoscopic Superconductivity, Vol. 25 5/6, ed. P. F. Bagwell (1999)
A. F. Andreev, Sov. Phys. JETP 19, 1228 (1964)
M. Tinkham, Introduction to Superconductivity, Ed. McGraw Hill, 2nd Ed. (1996)
G. E. Blonder, M. Tinkham and T. M. Klapwijk, Phys. Rev. B 25, 4515 (1982); A. L. Shelankov, JETP Lett. 32, 111 (1982)
P. A. M. Benistant, H. van Kempen and P. Wyder, Phys. Rev. Lett. 51, 817 (1983)
H. A. Blom, A. Kadigrobov, A. M. Zagoskin, R. I. Shekhter, and M. Jonson, Phys. Rev. B 57, 9995 (1998).
J. M. Rowell and W. L. Mc Millan, Phys. Rev. Lett. 16, 453 (1966)
P. G. de Gennes and D. Saint-James, Phys. Letters 4, 151 (1963)
C. W. J. Beenakker, cond-mat/9909293; J. C. J. Paasschens, M. J. M. de Jong, P. W. Brouwer and C. W. J. Beenakker, Phys. Rev. A 56, 4216 (1997)
J. Kutchinsky, R. Taboryski, T. Clausen, C. B. Sørensen, A. Kristensen, P. E. Lindelof, J. Bindeslev Hansen, C. Shelde Jacobsen and J. L. Skov, Phys. Rev. Lett. 78, 931 (1997)
B. J. van Wees, B. J. P. de Vries, P. Magnée and T. M. Klapwijk, Phys. Rev. Lett. 69, 510 (1992)
C. W. J. Beenakker, Review of Modern Phys. 69/3, 731 (1997)
Y. Imry and A. Stern, Semicond. Sci. Technol. 9, 1879 (1994)
A.I. Larkin and Y. V. Ovchinnikov, Sov. Phys. JETP 41, 960 (1975)
A. Kastalsky, A. W. Kleinsasser, L. H. Greene, R. Bhat, F. P. Milliken, and J. P. Harbison, Phys. Rev. Lett. 67, 3026 (1991)
F. W. J. Hekking and Y. Nazarov, Phys. Rev. Lett. 71, 1625 (1993); Phys. Rev. B 49, 6847 (1994)
G. B. Lesovik, A. L. Fauchére and G. Blatter, Phys. Rev. B 55, 3146 (1997)
C. J. Lambert, J. Phys. Condens. Matter 3, 6579 (1991); C. J. Lambert and R. Raimondi, J. Phys. Condens. Matter 10, 901 (1998)
A. F. Volkov, A. V. Zaitsev and T. M. Klapwijk, Physica C 210, 21 (1993)
F. Zhou, B. Spivak, and A. Zyuzin, Phys. Rev. B 52, 4467 (1995)
Y. Nazarov and T. H. Stoof, Phys. Rev. Lett. 76, 823 (1996); T. H. Stoof and Y. Nazarov, Phys. Rev. B 53, 14496 (1996)
Y. V. Nazarov, Phys. Rev. Lett. 73, 1420 (1994); Y. V. Nazarov, in Ref. [8]
D. Esteve, H. Pothier, S. Guéron, N. O. Birge, M. H. Devoret, in Ref. [7]
H. Pothier, S. Guéron, D. Estève and M. H. Devoret, Phys. Rev. Lett. 73, 2488 (1994)
F. W. J. Hekking, L.I. Glazman, and G. Schön, Phys. Rev. B 51, 15312 (1995)
M. V. Feigelman, V. B. Geshkenbein, L. B. Ioffe and G. Blatter, this volume
H. Courtois, Ph. Gandit, D. Mailly and B. Pannetier, Phys. Rev. Lett. 76, 130 (1996).
V. T. Petrashov, V. N. Antonov, P. Delsing and T. Claeson, Phys. Rev. Lett. 70, 347 (1993); J.E.T.P. Lett. 60, 606 (1994); Phys. Rev. Lett. 74,5268 (1995); V. T. Petrashov, R. Sh. Shaikhaidarov, P. Delsing and T. Claeson, JETP Lett. 67, 513 (1998)
A. Dimoulas, J. P. Heida, B. J. van Wees, T. M. Klapwijk, V. van de Graafand G. Borghs, Phys. Rev. Lett. 74, 602 (1995)
P. Charlat, H. Courtois, Ph. Gandit, D. Mailly, A.F. Volkov and B. Pannetier, Phys. Rev. Lett. 77, 4950 (1996); H. Courtois, P. Charlat, Ph. Gandit, D. Mailly and B. Pannetier, J. Low Temp. Phys. 116, 187 (1999)
W. Poirier, D. Mailly and M. Sanquer, Phys. Rev. Lett. 79, 2105 (1997)
S. G. den Hartog, C. M. A. Kapteyn, B. J. van Wees, T. M. Klapwijk and G. Borghs, Phys. Rev. Lett. 77, 4954 (1996)
E. Toyoda, H. Takayanagi and H. Nakano, Phys. Rev. B 59, 11653 (1999)
S.N. Artemenko, A.F. Volkov, A.V. Zaitsev, Sol. St. Comm. 30, 771 (1979)
A. F. Volkov, N. Allsopp and C. J. Lambert, J. Phys. Condens. Matter 8, L45 (1996)
A. A. Golubov, F. K. Wilhelm, and A. D. Zaikin, Phys. Rev. B 55, 1123 (1997)
H. Courtois, Ph. Gandit, B. Pannetier and D. Mailly in Ref. [8]
N. R. Claugton and C. J. Lambert, Phys. Rev. B 53, 6605 (1996)
J. Eom, C. J. Chien and V. Chandrasekhar, Phys. Rev. Lett. 81, 437 (1998)
Th. Martin, Phys. Lett. A 220, 137 (1996)
X. Jehl, P. Payet-Burin, C. Baraduc, R. Calemzuk and M. Sanquer, Phys. Rev. Lett. 83, 1660 (1999); X. Jehl, PhD thesis, Grenoble (1999), unpublished.
M. J. M. de Jong and C. W. J. Beenakker, Phys. Rev. B 49, 16070 (1994)
Y. Naveh and D. V. Averin, Phys. Rev. Lett. 82, 4090 (1999)
P. Dieleman, H. G. Bukkems, T. M. Klapwijk, M. Schicke and K. H. Gundlach, Phys. Rev. Lett. 79, 3486 (1997)
T. Hoss, C. Strunk, T. Nussbaumer, R. Huber, U. Staufer and C. Schoenenberger, cond-mat/9901129
S. M. Freaks and C. J. Adkins, Phys. Lett. 7, 382 (1969); see also Ref. [3]
S. Gueron, H. Pothier, N. O. Birge, D. Esteve and M. H. Devoret, Phys. Rev. Lett. 77, 3025 (1996)
W. Belzig, C. Bruder and G. Schon, Phys. Rev. B 54, 9443 (1996)
K. M. Frahm, P. W. Brouwer, J. A. Melsen and C. W. J. Beenakker, Phys. Rev. Lett. 76, 2981 (1996)
F. Zhou, P. Charlat, B. Spivak and B. Pannetier, J. Low Temp. Phys. 110, 841 (1998)
I. O. Kulik, Sov. Phys. JETP 57, 1745 (1969), see also J. Bardeen and J. L. Johnson, Phys. Rev. B 5, 72 (1972)
H. Courtois, Ph. Gandit, and B. Pannetier, Phys. Rev. B 52, 1162 (1995)
F. K. Wilhelm, A. D. Zaikin and G. Schön, J. Low Temp. Phys. 106, 305 (1997)
P. Dubos, H. Courtois, B. Pannetier, F. K. Wilhelm, A. D. Zaikin and G. Schön, unpublished
A. F. Morpugo, T. M. Klapwijk and B. van Wees, Appl. Phys. Lett. 72, 966 (1998)
F. K. Wilhelm, G. Schön and A. D. Zaikin, Phys. Rev. Lett. 81, 1682 (1998)
A. F. Morpugo, this volume
J. J. A Baselmans, A. F. Morpugo, B. J. van Wees and T. M. Klapwijk, Nature 397, 43 (1999)
J. Kutchinsky, R. Taboryski, C. B. Sørensen, J. Bindslev Hansen and P. E. Lindelof, Phys. Rev. Lett. 83, 4856 (1999)
F. Zhou and B. Spivak, JETP Lett. 65, 369 (1997)
N. Argaman, in Ref. [8]
K. W. Lehnert, N. Argaman, H. R. Blank, K. C. Wong, S. J. Allen, E. L. Hu, and H. Kroemer, Phys. Rev. Lett. 82, 1265 (1999)
F. K. Wilhelm, G. Schön, A. D. Zaikin, A. A. Golubov, P. Dubos, H. Courtois, and B. Pannetier, Proceedings of LT22 (Helsinki, Finland, August 4–11, 1999), to appear in Physica B
P. Visani, A.C. Mota and A. Pollini, Phys. Rev. Lett. 65, 1514 (1990); F. Bernd Muller-Allinger and A. C. Mota, cond-mat/9904344
F. B. Müller-Allinger, A. C. Mota, and W. Belzig, Phys. Rev. B 59, 8887 (1999); W. Belzig, C. Bruder, and A. L. Fauchere, Phys. Rev. B 58, 14531 (1998)
C. Bruder and Y. Imry, Phys. Rev. Lett. 80, 5782 (1998); Comment: A. Fauchere, V. Geshkenbein, and G. Blatter, Phys. Rev. Lett. 82, 1796 (1999) Reply: C. Bruder and Y. Imry, Phys. Rev. Lett. 82, 1797 (1999)
A. L. Fauchère, W. Belzig, and G. Blatter, Phys. Rev. Lett. 82, 3336 (1999)
E. A. Demler, G. B. Arnold and M. R. Beasley, Phys. Rev. B 55, 15174 (1997)
M. J. M. de Jong and C. W. J. Beenakker, Phys. Rev. Lett. 74, 1657 (1995)
R. J. Soulen Jr, J. M. Byers, M. S. Osofsky, B. Nadgorny, T. Ambrose, S. F. Cheng, P. R. Broussard, C. T. Tanaka, J. Nowak, J. S. Moodera, A. Barry, J. M. D. Coey, Science 282, 85 (1998)
S. Upadhyay, A. Palanisami, R. N. Louie, R. A. Burham, Phys. Rev. Lett. 81, 3247 (1998)
V. A. Vasko, V. A. Larkin, P. A. Kraus, K. R. Nikolaev, D. E. Grup, C. A. Nordman and A. M. Goldman, Phys. Rev. Lett. 78, 1134 (1997)
L. N. Bulaevski, A.I. Buzdin, M. L. Kulfc and S. V. Panyulov, Adv. Phys. 34, 175 (1985).
C. L. Chien and D. H. Reich, J. of Mag. and Mag. Mat. 200, 83 (1999)
J. Aarts, J. M. E. Geers, E. Brueck, A. A. Golubov and R. Coehoorn, Phys. Rev. B 56, 2779 (1997)
V. T. Petrashov, V. N. Antonov, S. V. Maksimov and R. Sh. Shaikhaidarov, JETP Lett. 59, 551 (1994); V. T. Petrashov, 1. A. Sosnin, 1. Cox, A. Parsons and C. Troadec, Phys. Rev. Lett. 83, 3281 (1999)
H. D. Lawrence and N. Giordano, J. Phys. Condo Mat. 8, L653 (1996)
M. Giroud, H. Courtois, H. Hasselbach, D. Mailly and B. Pannetier, Phys. Rev. B 58, 11872 (1998)
M. Leadbeater, C. J. Lambert, K.E. Nagaev, R. Raimondi and A. F. Volkov, Phys. Rev. B 59, 12264 (1999)
R. Fazio and C. Lucheroni, Europhys. Lett. 45, 707 (1999)
F. Zhou and B. Spivak, cond-mat/9906177
V.I. Fal'ko, C. J. Lambert and A. F. Volkov, JETP Lett. 69, 532 (1999)
F. J. Jedema, B. J. van Wees, B. H. Hoving, A. T. Filip, T. M. Klapwijk, cond-mat /9901323
E. Scheer, P. Joyez, D. Estève, C. Urbina and M. H. Devoret, Phys. Rev. Lett. 78, 3535 (1997); M. F. Goffman, R. Cron, A. Levy Yeyati, P. Joyez, M. H. Devoret, D. Esteve, C. Urbina, this volume
A. Yu. Kasumov, R. Deblock, M. Kociak, B. Reulet, H. Bouchiat, I. I. Khodos, Yu. B. Gorbatov, V. T. Volkov, C. Journet, M. Burghard, Science 284, 1508 (1999)
Yu. I. Latishev, O. Laborde, P. Monceau and S. Klaümiinzer, Phys. Rev. Lett. 78, 919 (1997); Yu. 1. Latishev, B. Pannetier and P. Monceau, Eur. Phys. J. 3, 421 (1998)
H. S. J. van der Zant, O. C. Mantel, C. P. Heij and C. Dekker, Synthetic Metals 86, 1781 (1997)
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Pannetier, B., Courtois, H. Andreev Reflection and Proximity effect. Journal of Low Temperature Physics 118, 599–615 (2000). https://doi.org/10.1023/A:1004635226825
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DOI: https://doi.org/10.1023/A:1004635226825