Abstract
A kinetic theory of anisotropic Fermi superfluids is presented. The kinetic equation for the quasiparticle matrix distribution function is derived from the microscopic theory, supplemented by definitions of the relevant densities and currents. The static spin susceptibility, the normal fluid density, and the specific heat are calculated from the static limit of the kinetic equation. Special attention is given to the collision integral, which is presented explicitly in terms of normal Fermi liquid quantities. The energy dependence of the collision integral makes necessary the introduction of two other distribution function matrices, for which kinetic equations are also derived.
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References
D. D. Osheroff, R. C. Richardson, and D. M. Lee,Phys. Rev. Lett. 28, 885 (1972).
D. D. Osheroff, W. J. Gully, R. C. Richardson, and D. M. Lee,Phys. Rev. Lett. 29, 920 (1972).
J. C. Wheatley,Rev. Mod. Phys. 47, 415 (1975).
A. J. Leggett,Rev. Mod. Phys. 47, 331 (1975).
L. D. Landau,Zh. Eksp. Teor. Fiz. 30, 1058 (1956) [English transl.,Soviet Phys.—JETP 3, 920 (1957)];35, 95 (1958) [English transl.,8, 70 (1959)].
D. Pines and P. Nozières,Theory of Quantum Liquids (Benjamin, New York, 1965).
M. J. Stephen,Phys. Rev. 139A, 197 (1965).
M. P. Kemoklidze and L. P. Pitaevskii,Zh. Eksp. Teor. Fiz. 52, 1556 (1967) [English transl.,Soviet Phys.—JETP 25, 1036 (1967)].
A. J. Leggett,Phys. Rev. 140A, 1869 (1965);147, 119 (1966).
A. I. Larkin and A. B. Migdal,Zh. Eksp. Teor. Fiz. 44, 1703 (1963) [English transl.,Soviet Phys.—JETP 17, 1146 (1963)].
K. Maki and H. Ebisawa,Progr. Theor. Phys. 50, 1452 (1973);51, 337 (1974);51, 690 (1974).
O. Betbeder-Matibet and P. Nozières,Ann. Phys. (N.Y.)51, 392 (1969).
P. Wölfle,Phys. Rev. Lett. 30, 1169 (1973).
R. Combescot,Phys. Rev. A 10, 1700 (1974);Phys. Rev. Lett. 33, 946 (1974).
R. Combescot and H. Ebisawa,Phys. Rev. Lett. 33, 810 (1974); R. Combescot, to be published.
C. J. Pethick, H. Smith, and P. Bhattacharyya,Phys. Rev. Lett. 34, 643 (1975), and to be published.
I. M. Khalatnikov,An Introduction to the Theory of Superfluidity (Benjamin, New York, 1965).
P. Wölfle,Phys. Rev. Lett. 31, 1437 (1973).
L. P. Kadanoff and G. Baym,Quantum Statistical Mechanics (Benjamin, New York, 1963).
P. Wölfle,Z. Phys. 232, 38 (1970).
W. M. Saslow,Phys. Rev. Lett. 31, 870 (1973).
P. Wölfle,Phys. Rev. Lett. 34, 1210 (1975).
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Wölfle, P. Kinetic theory of anisotropic Fermi superfluids. J Low Temp Phys 22, 157–183 (1976). https://doi.org/10.1007/BF00655220
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DOI: https://doi.org/10.1007/BF00655220