A modified expression for the Andreev reflection coefficient is derived taking into account strong electronphonon interactions. A dependence of the superconducting order parameter ∆σ is numerically modeled for magnesium diboride. The current-voltage characteristics and the dI/dV spectra of the dynamic conductivity of superconductor-normal metal-superconductor (SNS) contacts based on strongly coupled superconductors are calculated for the Averin–Bardas model using the modified Andreev reflection coefficient (on an example of magnesium diboride). Calculations are performed for the mode of high transparency (0.9–0.98). The special features of the SNS contacts based on strongly coupled superconductors are shown.
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References
K. K. Likharev, Physica, C482, 6–18 (2012).
P. Febvre, N. De Leo, M. Fretto, et al., Physica, C484, 175–178 (2013).
K. K. Likharev, Introduction to the Dynamics of the Josephson Junctions [in Russian], Nauka, Moscow (1985).
A. Barone and G. Paterno, Physics and Applications of the Josephson Effect, Wiley & Sons, New York (1982).
K. K. Likharev and B. T. Ulrich, Systems with the Josephson Junctions [in Russian], Moscow State University Publishing House, Moscow (1978).
A. F. Andreev, Zh. Eksp. Teor. Fiz., 46, 1823–1827 (1964).
M. Octavio, M. Tinkham, G. E. Blonder, and T. M. Klapwijk, Phys. Rev., B27, 6739–6746 (1983).
D. Averin and A. Bardas, Phys. Rev. Lett., 75, 1831–1834 (1995).
Ya. G. Ponomarev, S. A. Kuzmichev, M. G. Mikheev, et al., Solid State Commun., 129, 85–89 (2004).
Ya. G. Ponomarev, S. A. Kuzmichev, N. M. Kadomtseva, et al., Pis’ma Zh. Eksp. Teor. Fiz., 79, 597–601 (2004).
T. E. Kuzmicheva, S. A. Kuzmichev, M. G. Mikheev, et al., Europhys. Lett., 102, 67006 (2013).
S. A. Kuzmichev, T. E. Kuzmicheva, A. I. Boltalin, and I. V. Morozov, Pis’ma Zh. Eksp. Teor. Fiz., 98, 816–825 (2013).
T. E. Kuzmicheva, S. A. Kuzmichev, M. G. Mikheev, et al., Usp. Fiz. Nauk, 184, 888–897 (2014).
P. G. de Gennes, Superconductivity of Metals and Alloys, Benjamin, New York (1966).
Y. Tanaka and S. Kashiwaya, Phys. Rev., B53, R11957–R11960 (1996).
G. M. Eliashberg, Zh. Eksp. Teor. Fiz., 38, 966–974 (1960).
A. A. Golubov, J. Kortus, O. V. Dolgov, et al., J. Phys.: Cond. Matter., 14, 1353 (2002).
S. A. Kuzmichev, T. E. Kuzmicheva, and S. N. Chesnokov, Pis’ma Zh. Eksp. Teor. Fiz., 99, 339–346 (2014).
F. Marsiglio and J. P. Carbotte, Phys. Rev., B43, 5355–5363 (1991).
F. Marsiglio, M. Schossmann, and J. P. Carbotte, Phys. Rev., B37, 4965–4969 (1988).
J. P. Carbotte, Rev. Mod. Phys., 62, 1027–1157 (1990).
F. Marsiglio and J. P. Carbotte, in: Superconductivity: Conventional and Unconventional Superconductors, Vol. 1, K. H. Bennemann and J. B. Ketterson, eds., Springer Verlag, Berlin; Heidelberg (2008), pp. 73–162.
G. B. Lesovik and I. A. Sadovskii, Usp. Fiz. Nauk, 181, 1041–1096 (2011).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 122–130, March, 2016.
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Sergeyev, D.M. Modeling of the Transport Properties of SNS Contacts for Strong Electron-Phonon Interactions. Russ Phys J 59, 456–465 (2016). https://doi.org/10.1007/s11182-016-0794-8
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DOI: https://doi.org/10.1007/s11182-016-0794-8