Boundary conditions in the macroscopic theory of superconductivity

E.A. Andryushin, V.L. Ginzburg^a, A.P. Silin
^aLebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

This note is devoted to the role played by the boundary conditions in the macroscopic theory of superconductivity. For "usual" superconductors one uses the boundary condition which does not contain any kind of a constant characterizing the superconductor. But in the general case the boundary condition involves a certain length Λ (the extrapolation length). Taking into account of a more general boundary condition may turn out to be significant for high-temperature superconductors in which the coherence length is small.

PACS: 74.20.−z, 74.72.−h (all)
DOI: 10.1070/PU1993v036n09ABEH002311
URL: https://ufn.ru/en/articles/1993/9/f/
Citation: Andryushin E A, Ginzburg V L, Silin A P "Boundary conditions in the macroscopic theory of superconductivity" Phys. Usp. 36 (9) 854–857 (1993)

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Оригинал: Андрюшин Е А, Гинзбург В Л, Силин А П «О граничных условиях в макроскопической теории сверхпроводимости» УФН 163 (9) 105–108 (1993); DOI: 10.3367/UFNr.0163.199309f.0105

References (24) ↓ Cited by (41) Similar articles (20)

Ginzburg V L, Landau L D Zh. Eksp. Teor. Fiz. 20 1064 (1950)
Lifshits E M, Pitaevskiya L P Statisticheskaya Fizika Vol. 2 (M.: Nauka, 1978)
Bulaevskii L N i dr. Zh. Eksp. Teor. Fiz. 94 355 (1988); Bulaevski L N&ibreve;, V L Ginzburg, and A A Sobyanin Sov. Phys. JETP. 67 1499 (1988)
de Gennes P G Superconductivity Of Metals And Alloys (Benjamin, N. Y., 1966); Russ. transl., de Gennes P G Superconductivity Of Metals And Alloys (Mir, M., 1968)
Svidzinski A V&ibreve; Spatially-Inhomogeneous Problems In The Theory Of Superconductivity (in Russian) (Nauka, M., 1982)
Ginzburg V L and L P Pitaevski&ibreve; Zh. Eksp. Teor. Fiz. 34 1240 (1958); Ginzburg V L and L P Pitaevski&ibreve; Sov. Phys. JETP 7 858 (1958)
Buzdin A I and L N Bulaevski&ibreve; JETP Lett. 34 112 (1981)
Ginzburg V L and A A Sobyanin Usp. Fiz. Nauk 120 153 (1976); Ginzburg V L and A A Sobyanin Sov. Phys. Usp. 19 773 (1976)
Ginzburg V L and A A Sobyanin J. Low Temp. Phys. 49 507 (1982)
Abrikosov A A Zh. Eksp. Teor. Fiz. 47 720 (1964); Abrikosov A A Sov. Phys. JETP 20 480 (1965)
Zaitsev R O Zh. Eksp. Teor. Fiz. 48 644 (1965); Zaitsev R O Sov. Phys. JETP 21 426 (1965)
Zaitsev R O Zh. Eksp. Teor. Fiz. 48 1759 (1965); Zaitsev R O Sov. Phys. JETP 21 1178 (1965)
Zaitsev R O Zh. Eksp. Teor. Fiz. 50 1055 (1966); Zaitsev R O Sov. Phys. JETP 23 702 (1966)
Gor’kov L P Zh. Eksp. Teor. Fiz. 36 1918 (1959); Gor’kov L P Sov. Phys. JETP 9 1364 (1959)
Batlogg B Physica B169 7 (1991)
Khlyustikov I N and A I Buzdin Adv. Phys. 36 271 (1987)
Shapoval E A Zh. Eksp. Teor. Fiz. 88 1073 (1985); Shapoval E A Sov. Phys. JETP 61 630 (1985)
Buzdin A I, A S Mel’nikov, and S V Sharov "The Influence of the Nearness Effect on the Thermodynamic Characteristics of Thin Films", (in Russian, unpublished)
Baranov M V, A I Buzdin, and L N Bulaevski&ibreve; Zh. Eksp. Toer. Fiz. 91 1063 (1986); Baranov M V, A I Buzdin, and L N Bulaevski&ibreve; Sov. Phys. JETP 64 628 (1986)
Schneider T and A Schmidt J. Phys. Soc. Jpn. 61 2169 (1992)
Schmidt A and T Schneider Z. Phys. B87 265 (1992)
Schneider T Dimensional Crossover in Cuprate Superconductors (1991), (unpublished)
Annett J F Adv. Phys. 39 83 (1990)
Saint-James D and P G de Gennes Phys. Lett. 7 306 (1963)