A New Microscopic Theory of Superfluidity at all Temperatures

Adams, Stefan and Bru, J.-B. (2002) A New Microscopic Theory of Superfluidity at all Temperatures. (Preprint)

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Abstract

Following the program suggested in [1], we get a new microscopic theory of superfluidity for all temperatures and densities. In particular, the corresponding phase diagram of this theory exhibits: (i) a thermodynamic behavior corresponding to the Mean-Field Gas for small densities or high temperatures, (ii) the ”Landau-type” excitation spectrum in the presence of non-conventional Bose condensation for high densities or small temperatures, (iii) a coexistence of particles inside and outside the condensate with the formation of “Cooper pairs”, even at zero-temperature (experimentally, an estimate of the fraction of condensate in liquid 4 He at T=0 K is 9 %, see [2, 3]). In contrast to Bogoliubov’s last approach and with the caveat that the full interacting Hamiltonian is truncated, the analysis performed here is rigorous by involving for the first time a complete thermodynamic analysis of a non-trivial continuous gas in the canonical ensemble.

Item Type: Article
Uncontrolled Keywords: Bogoliubov, helium, superfluidity, Landau, excitation, spectrum, Cooper, Bose condensation, equivalence of ensembles
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 14:32
Last Modified: 17 Jul 2018 10:13
URI: http://dair.dias.ie/id/eprint/457

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