Abstract
The influence of the scattering potential of nonmagnetic and magnetic impurities on the critical superconducting transition temperatureT c is considered for superconductors with either a completely or partially dielectric electron spectrum. It is shown thatT c rises with increasing concentration of nonmagnetic impurities, i.e., the Anderson theorem is violated in such systems. Magnetic impurity scattering lowersT c. However, this reduction is weakened compared to usual superconductors, due to the presence of the dielectric gap on the Fermi surface.
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References
P. W. Anderson,J. Phys. Chem. Sol. 11, 26 (1959).
A. A. Abrikosov and L. P. Gor'kov,Zh. Eksp. Teor. Fiz. 39, 1781 (1960) [Sov. Phys. JETP 12, 1243 (1961)].
G. B. Arnold,Phys. Rev. B 23, 1171 (1981).
B. Keck and A. Schmid,J. Low Temp. Phys. 24, 611 (1976).
P. J. Cote and L. V. Meisel,Phys. Rev. Lett. 40, 1586 (1978).
S. Maekawa and H. Fukuyama,Physica B + C 107, 123 (1981);J. Phys. Soc. Jpn. 51, 1380 (1982).
B. L. Altschuler and A. G. Aronov,Zh. Eksp. Teor. Fiz. 77, 2028 (1979) [Sov. Phys. JETP 50, 968 (1979)].
M. E. Palistrant and A. T. Triphan,The Theory of Impurity Superconductors under Pressure (in Russian) (Shtiinza, Kishinev, 1980).
E. Schachinger and J. P. Carbotte,J. Low Temp. Phys. 42, 69 (1981).
S. Mohabir and A. D. S. Nagi,J. Low Temp. Phys. 29, 193 (1977).
S. V. Vonsovskii, Yu. A. Izyumov, and E. Z. Kurmayev,The Superconductivity of Transition Metals, Their Alloys and Compounds (in Russian) (Nauka, Moscow, 1977) [English translation, Springer Verlag, 1982].
V. V. Andreev,Fiz. Nizk. Temp. 6, 292 (1980).
S. Yoksan,J. Low Temp. Phys. 42, 217 (1981).
I. Nakayama,Prog. Theor. Phys. 59, 1418 (1978).
A. S. Alexandrov, V. F. Elesin, and N. P. Kazeko,Fiz. Tverd. Tela 21, 2062 (1979) [Sov. Phys. Solid State 21, 1181 (1979)].
B. M. Klein, L. L. Boyer, D. A. Papaconstantopoulos, and L. F. Mattheiss,Phys. Rev. B 18, 6411 (1978).
P. Müller, H. Adrian, G. Ischenko, ahnd H. Braun,J. Phys. (Paris)39, C6–387 (1978).
M. Gurvitch, A. K. Ghosh, B. L. Gyorffy, H. Lutz, O. F. Kammerer, J. S. Rosner, and M. Strongin,Phys. Rev. Lett. 41, 1616 (1978).
M. Lehmann, H. Adrian, J. Bieger, P. Müller, C. Nölscher, G. Saemann-Ischenko, and E. L. Haase,Solid State Commun. 39 145 (1981).
M. Lehmann and G. Saemann-Ischenko,Phys. Lett. A 87, 369 (1982).
V. A. Finkel and E. A. Pushkarev,Zh. Eksp. Teor. Fiz. 73, 2332 (1977) [Sov. Phys. JETP 46, 1220 (1977)].
J. Bieger, H. Adrian, P. Müller, and G. Saemann-Ischenko,Solid State Commun. 36, 979 (1980).
V. M. Pan, I. E. Bulakh, A. L. Kasatkin, and A. D. Shevchenko,J. Less-Common Met. 62, 157 (1978).
L. P. Gor'kov,Prog. Low Temp. Phys. B 7, 518 (1978).
J. Muller,Rep. Prog. Phys. 43, 641 (1980).
Ø. Fischer,Appl. Phys. 16, 1 (1978).
J. D. Thompson, M. P. Maley, C. Y. Huang, J. O. Willis, J. L. Smith, and H. L. Luo,J. Low Temp. Phys. 43, 243 (1981).
R. C. Lacoe, S. A. Wolf, P. M. Chaikin, C. Y. Huang, and H. L. Luo,Phys. Rev. Lett. 48, 1212 (1982).
L. N. Bulaevskii,Usp. Fiz. Nauk 116, 449 (1975);120, 259 (1976) [Sov. Phys. Usp. 18, 514 (1975),19, 836 (1978)].
L. V. Keldysh and Yu. V. Kopaev,Fiz. Tverd. Tela 6, 2791 (1974) [Sov. Phys. Solid State 6, 2219 (1965)].
G. Bilbro and W. L. McMillan,Phys. Rev. B 14, 1887 (1976).
A. M. Gabovich and A. S. Shpigel,Fiz. Tverd. Tela 24, 1006 (1982) [Sov. Phys. Solid State 24, 571 (1982)].
M. J. Nass, K. Levin, and G. S. Grest,Phys. Rev. B 25, 4541 (1982).
G. S. Grest, K. Levin, and M. J. Nass,Phys. Rev. B 25, 4562 (1982).
I. Izuyama,Prog. Theor. Phys. 48, 1106 (1972).
A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinskii,Quantum Field Theoretical Methods in Statistical Physics (Pergamon, New York, 1965).
L. P. Gor'kov and A. I. Rusinov,Zh. Eksp. Teor. Fiz. 46, 1363 (1964) [Sov. Phys. JETP 19, 922 (1964)].
Yu. A. Izyumov, V. E. Naish, and V. N. Syromyatnikov,Fiz. Met. Metalloved. 39, 455 (1975);Kristallografiyas 21, 256 (1976).
A. M. Gabovich, E. A. Pashitskii, and A. S. Shpigel,Zh. Eksp. Teor. Fiz. 77, 1157 (1979) [Sov. Phys. JETP 50, 583 (1979)];Physica B + C 107, 749 (1981).
N. I. Akhiezer and I. M. Glazman,Theory of Linear Operators in Gilbert Space (in Russian), Vol. 1 (Vyshcha Shkola, Kharkov, 1977).
Yu. A. Izyumov and Yu. N. Skryabin,Phys. Status. Solidi B 61, 9 (1974).
Ø. Fischer, M. I. Ishikawa, M. Pelizzone, and A. Treyvaud,J. Phys. (Paris)40, C5–89 (1979).
J. Zittartz,Phys. Rev. 164, 575 (1967).
I. Nakayama,J. Phys. Soc. Jpn. 43, 1453 (1977).
A. N. Kozlov and L. A. Maksimov,Zh. Eksp. Teor. Fiz. 48, 1184 (1965).
W. M. Walsh, Jr., F. Wudl, G. A. Thomas, D. Nalewaijek, J. J. Hauser, P. A. Lee, and T. Poehler,Phys. Rev. Lett. 45, 829 (1980).
B. A. Volkov,Trudy FIAN SSSR 104, 3 (1978).
H. Gutfreund and W. A. Little in Lecture Notes in Physics, No. 96 (1979), p. 280;Rice Univ. Studies 66, 1 (1980).
A. M. Gabovich, E. A. Pashitskii, and A. S. Shpigel,Fiz. Tverd. Tela 18, 3279 (1976) [Sov. Phys. Solid State 18, 1916 (1976)].
A. I. Morozov,Fiz. Tverd. Tela 22, 3372 (1980) [Sov. Phys. Solid State 22, 1974 (1980)].
T. E. Klippert, B. S. Brown, and J. W. Hafstrom,J. Appl. Phys. 48, 1759 (1977).
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Gabovich, A.M., Shpigel, A.S. Influence of impurity scattering on the critical temperature of superconductors with a partial gap in the electron spectrum. J Low Temp Phys 51, 581–599 (1983). https://doi.org/10.1007/BF00683230
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DOI: https://doi.org/10.1007/BF00683230