Abstract
The theory of the Hall effect of dirty, type II superconductors nearH c2 by Ebisawa based on the free-electron model is extended to the case of isotropic but arbitrary energy—momentum relation. It is also shown that the detailed form of the impurity potential, i.e., the momentum dependence of its Fourier transform, which is neglected in Ebisawa's work, also contributes to the effect and its contribution is calculated. The result shows that, besides the energy dependence of the density of states and electron velocity near the Fermi energy of the host metal, the detailed nature of the impurity also has a large influence on the Hall effect. The theory is compared with experiment.
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References
C. Caroli and K. Maki,Phys. Rev. 159, 306 (1967);Phys. Rev. 164, 591 (1967).
R. S. Thompson,Phys. Rev. B 1, 327 (1970).
H. Takayama and H. Ebisawa,Prog. Theor. Phys. 44, 1450, (1970).
A. Houghton and K. Maki,Phys. Rev. B 3, 1621 (1971).
L. P. Gor'kov and E. M. Eliashberg,Zh. Eksp. Teor. Fiz. 54, 612 (1968) [Soviet Phys.—JETP 27, 328 (1968)];J. Low Temp. Phys. 2, 161 (1970).
S. Imai,Prog. Theor. Phys. 51, 1647 (1974).
W. A. Reed, E. Fawcett, and Y. B. Kim,Phys. Rev. Lett. 14, 790 (1965).
F. A. Staas, A. K. Niessen, and W. F. Druyvesteyn,Phys. Lett. 17, 231 (1965); A. K. Niessen, F. A. Staas, and G. H. Weijenfeld,Phys. Lett. 25A, 33 (1969); B. Byrnak and T. B. Rasmussen,Physica 55, 357 (1971).
K. Noto, K. Mori, and T. Muto, paper presented at the International Conference on the Science of Superconductivity, Stanford, 1969.
H. Ebisawa and H. Fukuyama,Prog. Theor. Phys. 46, 1042 (1971).
H. Fukuyama, H. Ebisawa, and T. Tsuzuki,Prog. Theor. Phys. 46, 1028 (1971).
H. Ebisawa,J. Low Temp. Phys. 9, 11 (1972).
A. A. Abrikosov, L. P. Gor'kov, and I. Ye. Dzyaloshinskii,Quantum Field Theoretical Methods in Statistical Physics (Pergamon Press, Oxford), Section 39.
H. Fukuyama, H. Ebisawa, and Y. Wada,Prog. Theor. Phys. 42, 494 (1969).
S. Imai,Prog. Theor. Phys. 50, 1087 (1973).
S. Imai,Prog. Theor. Phys. 54, 624 (1975).
H. Fukuyama,Phys. Rev. B 5, 2872 (1972).
Y. Muto, K. Mori, and K. Noto, inProc. Stanford Conf. on the Science of Superconductivity, F. Chilton, ed. (North-Holland, Amsterdam, 1971); R. J. Pederson, Y. B. Kim, and R. S. Thompson,Phys. Rev. B 7, 982 (1973); G. Fisher, R. P. McConnell, P. Monceau, and K. Maki,Phys. Rev. B 1, 2134 (1970).
H. Takayama and K. Maki,Phys. Rev. Lett. 28, 1445 (1972);J. Low Temp. Phys. 12, 1975 (1973).
G. Gladstone, M. A. Jensen, and J. R. Schrieffer, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York), Section V, Chapter 13.
L. F. Mattheiss,Phys. Rev. B 1, 373 (1970).
Y. Muto and K. Noto, private communication.
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On leave of absence from Research Institute of Electrical Communication, Tohoku University, Sendai, Japan.
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Imai, S. Hall effect of a dirty type II superconductor nearH c2 . J Low Temp Phys 24, 733–754 (1976). https://doi.org/10.1007/BF00657177
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DOI: https://doi.org/10.1007/BF00657177