The application of the fractional exclusion statistics to the BCS theory—A redefinition of the quasiparticle energies

Dragoş-Victor Anghel and George Alexandru Nemnes

Physica A: Statistical Mechanics and its Applications, 2016, vol. 458, issue C, 276-286

Abstract: The effective energy of a superconductor Eeff(T) at temperature T is defined as the difference between the total energy at temperature T and the total energy at 0 K. We call the energy of the condensate, Ec, the difference between Eeff and the sum of the quasiparticle energies Eqp. Ec, Eqp, as well as the BCS quasiparticle energy ϵ are positive and depend on the gap energy Δ, which, in turn, depends on the populations of the quasiparticle states (equivalently, they depend on T). So, from the energetic point of view, the superconductor is a Fermi liquid of interacting quasiparticles.

Keywords: BCS theory (superconductivity); Fractional statistics systems (anyons, etc.); Quantum ensemble theory (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:458:y:2016:i:c:p:276-286

DOI: 10.1016/j.physa.2016.04.021

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