Abstract
The method of two-point quasiclassical Green's function is reviewed and its applicability for description of multiple reflections/transmissions in layered structures is discussed. The Green's function of a sandwich built of superconducting layers with a semi-transparent interface is found with the help of recently suggested quasiclassical method [A. Shelankov and M. Ozana, Phys. Rev. B 61, 7077 (2000)], as well as exactly, from the Gor'kov equation. By the comparison of the results of the two approaches, the validity of the quasiclassical method for the description of real (non-integrable) systems is confirmed.
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REFERENCES
G. Eilenberger, Z. Phys. 214, 195 (1968).
A.I. Larkin and Yu.N. Ovchinnikov, Zh. Eksp. Teor. Fiz. 55, 2262 (1968) [Sov. Phys. JETP 28, 1200 (1969)]; A.I. Larkin and Yu.N. Ovchinnikov, in Nonequilibrium Superconductivity, D.N. Langenberg and A.I. Larkin (eds.), Elsevier, Amsterdam (1984).
A. Schmid, in Nonequilibrium Superconductivity, K.E. Gray (ed.), Plenum, N.Y. (1981).
J.W. Serene and D. Rainer, Phys. Rep. 4,221 (1983).
A.F. Andreev, Zh. Eksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1288 (1964)].
A.L. Shelankov, Pis'ma Zh. Eksp. Teor. Fiz. 32, 122 (1980) [JETP Lett. 32, 111 (1980)].
A.V. Zaitsev, Zh. Eksp. Teor. Fiz. 86, 1742 (1984) [Sov. Phys. JETP 59, 1015 (1984)].
M. Ashida, S. Aoyama, J. Hara, and K. Nagai, Phys. Rev. B 40, 8673 (1989); Y. Nagato, K. Nagai, and J. Hara, J. Low Temp. Phys. 93, 33 (1993); S. Higashitani and K. Nagai, J. Phys. Soc. Japan. 64, 549 (1995); Y. Nagato and K. Nagai, Phys. Rev. B 51, 16254 (1995); Y. Nagato, M. Yamamoto, and K. Nagai, J. Low. Temp. Phys. 110, 1135 (1998).
A.L. Shelankov and M. Ozana, Phys. Rev. B 61, 7077 (2000).
A.L. Shelankov, J. Low Temp. Phys. 60, 29 (1985).
N. Schopohl and K. Maki, Phys. Rev. B 52, 490 (1995).
N. Schopohl, “Transformation of the Eilenberger Equations of Superconductivity to a Scalar Riccati Equation”, cond-mat/9804064 and in Quasiclassical theory of superconductivity, D. Rainer and J.A. Sauls (eds.), p. 88 (1998).
Y. Nagato, K. Nagai, and J. Hara, J. Low Temp. Phys. 93, 33 (1993).
M. Eschrig, Phys. Rev. B 61, 9061 (2000).
Y. Nagato, S. Higashitani, K. Yamada, and K. Nagai, J. Low. Temp. Phys. 103, 1 (1996); K. Yamada, Y. Nagato, S. Higashitani, and K. Nagai, J. Phys. Soc. Jpn. 65, 1540 (1996); K. Nagai, in Quasiclassical theory of superconductivity, D. Rainer and J.A. Sauls (eds.), p. 198 (1998).
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Ozana, M., Shelankov, A. Superconductivity in Multiple Interface Geometry: Applicability of Quasiclassical Theory. Journal of Low Temperature Physics 124, 223–243 (2001). https://doi.org/10.1023/A:1017586120515
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DOI: https://doi.org/10.1023/A:1017586120515