Path-integral approach to Cooper pairs and charged bosons
A. S. Alexandrov, S. G. Rubin
DOI 10.1103/PhysRevB.47.5141 · Physical Review B
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Abstract
With the functional-integral technique, equations for the excitation spectrum of fermions with an arbitrary strong attraction are obtained. The evolution of the BCS excitation spectrum in the weak-coupling regime to the excitations of a Bose gas in the strong-coupling regime is discussed. To obtain the Bogolubov sound in the strong-coupling regime, four-particle correlations are taken into account. The functional integration allows a discussion of the excitations at a finite temperature and a controlled treatment of the problem of maximum attainable Tc.
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