Abstract
Following a general formalism recently developed by Rainer and Serene and using a plausible approximation for the normal-state vertex function, we calculate the strong-coupling corrections δF SC to the free energy of superfluid3He. We express δF SC in terms of the Fermi liquid scatteirng amplitudesA 0 ,A 1 ,B 0 , andB 1 and the invariant combinations of the order parameter. We also calculate the jump in specific heat atT c for theA 1 , Balian-Werthamer (BW), and Anderson-Brinkman-Morel (ABM) states, the initials slope of the superfluid mass density and nuclear spin susceptibility in the BW and AMB states vs.T/T c atT c , the initial slope of theT AB line vs. pressure at the polycritical point, and the effect of a small magnetic field on theT AB line. The calculated values of all the above properties are in reasonable agreement with the experimental ones.
Similar content being viewed by others
References
Y. Kuroda and A. D. S. Nagi,Prog. Theor. Phys. 55 (6) (1976).
P. W. Anderson and W. F. Brinkman,Phys. Rev. Lett. 30, 1108 (1973).
J. C. Wheatley,Rev. Mod. Phys. 47, 415 (1975).
A. J. Leggett,Rev. Mod. Phys. 47, 331 (1975).
W. F. Brinkman, J. W. Serene, and P. W. Anderson,Phys. Rev. A 10, 2386 (1974).
Y. Kuroda,Prog. Theor. Phys. 53, 349 (1975).
D. D. Osheroff and P. W. Anderson,Phys. Rev. Lett. 33, 686 (1974).
Y. Kuroda and A. D. S. Nagi,Prog. Theor. Phys. 53, 1206 (1975).
Y. Kuroda and A. D. S. Nagi,J. Low Temp. Phys. 23, 751 (1976).
C. N. Archie, W. P. Halperin, F. B. Rasmussen, C. M. Gould, T. A. Alvesalo, and R. C. Richardson, inProc. Low Temp. Phys. LT 14, M. Krusius and M. Vuorio, eds. (North-Holland, 1975), Vol. 1 p. 96.
D. Rainer and J. W. Serene,Phys. Rev. B 13, 4745 (1976).
J. M. Luttinger and J. C. Ward,Phys. Rev. 118, 1417 (1960).
K. S. Dy and C. J. Pethick,Phys. Rev. 185, 373 (1969).
C. J. Pethick, H. Smith, and P. Bhattacharyya,Phys. Rev. Lett. 34, 643 (1975).
A. A. Abrikosov, P. P. Gor'kov, and I. Y. Dzyaloshinskii,Quantum Field Theoretical Methods in Statistical Physics, 2nd ed. (Pergamon Press, Oxford, 1965).
R. Balian and N. R. Werthamer,Phys. Rev. 131, 1553 (1963).
N. D. Mermin and G. Stare,Phys. Rev. Lett. 30, 1135 (1973).
V. Ambegaokar and N. D. Mermin,Phys. Rev. Lett. 30, 81 (1973).
O. Hone,Phys. Rev. 125, 1494 (1962).
R. A. Webb, T. J. Greytak, R. T. Johnson, and J. C. Wheatley,Phys. Rev. Lett. 30, 210. (1973).
W. P. Halperin, C. N. Archie, F. B. Rasmussen, T. A. Alvesalo, and R. C. Richardson,Phys. Rev. B 13, 2124 (1976).
A. J. Leggett,Phys. Rev. 140, A1869 (1965).
D. D. Osheroff,Phys. Rev. Lett. 33, 1009 (1974).
L. R. Corruccini and D. D. Osheroff,Phys. Rev. Lett. 34, 695 (1975).
D. N. Paulson, R. T. Johnson, and J. C. Wheatley,Phys. Rev. Lett. 31, 746 (1973).
D. N. Paulson, H. Kojima, and J. C. Wheatley,Phys. Lett. 47A, 457 (1974).
H. Kojima, D. N. Paulson, and J. C. Wheatley,Phys. Rev. Lett. 32, 141 (1974).
H. Kojima, D. N. Paulson, and J. C. Wheatley,J. Low Temp. Phys. 21, 283 (1975).
D. N. Paulson, H. Kojima, and J. C. Wheatley,Phys. Rev. Lett. 32, 1098 (1974).
D. D. Osheroff, R. C. Richardson, and D. M. Lee,Phys. Rev. Lett. 28, 885 (1972).
Author information
Authors and Affiliations
Additional information
Work supported in part by grant No. 4630 of the National Research Council of Canada.
For a preliminary version of this work see Ref. 1.
Rights and permissions
About this article
Cite this article
Kuroda, Y., Nagi, A.D.S. On the strong-coupling effects in superfluid3He. J Low Temp Phys 25, 569–586 (1976). https://doi.org/10.1007/BF00657284
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00657284