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Zhur. Eksptl'. i Teoret. Fiz.

CONTRIBUTION TO THE THEORY OF SUPER-FLUIDITY IN AN IMPERFECT FERMI GAS

L. P. Gor’kov, T.K. Melik-Barkhudarov

Published May 1, 1961• 56 citations
OpenAlex

Abstract

The Cooper effect is studied in a low density Fermi gas. The transition temperature to the superfluid state is determined. (auth)

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arXiv:cond-mat/0007334•Journal of Experimental and Theoretical Physics•May 1, 2000•55 citations
The effect of interaction between particles on the oscillations of the Fermi gas magnetic moment is studied by quantum field theory methods. The forces acting between the particles are assumed to be of the short range type and the calculations are performed in the gas approximation. The change in the period and amplitude of the oscillations of the magnetic moment due to interaction between the particles is determined. At not toe low temperatures the oscillation amplitude contains a factor which decreases exponentially with decrease of the magnetic field. (auth)
Higher-order perturbation-theory corrections to the superfluid transition temperature in a weakly nonideal Fermi gas with repulsion are determined. This involves calculating the contribution of third-and fourth-order diagrams in terms of the gas parameter ap F to the effective interaction which determines the super-fluid transition temperature and also allowing for effects associated with retardation and renormalization of the polar part of the Green’s function. The expressions obtained provide evidence in support of attraction in the effective interaction in the second, third, and fourth orders of perturbation theory. It is shown that the critical temperature is mainly determined by second-and third-order terms of perturbation theory. Calculations are made of the superfluid transition temperature for a gas comprising neutral Fermi particles in a magnetic field. The limits of validity of the theory are analyzed and the possibility of applying the results to dilute solutions of 3 He in 4 He and neutral-particle Fermi gases in magnetic traps is discussed.