Condensate fraction in metallic superconductors and ultracold atomic vapors

Details Condensate fraction in metallic superconductors and ultracold atomic vapors Condensate fraction in metallic superconductors and ultracold atomic vapors

2010-03-19

arxiv.org/abs/1003.3851v1

Physics

Condensed Matter

Quantum Gases

14 pages, 1 figure, 1 table, to be published in 'Fermions: Flavors, Properties, and Types' (Nova Science Publishers, New York)

Scientific paper

We investigate the condensate density and the condensate fraction of conduction electrons in weak-coupling superconductors by using the BCS theory and the concept of off-diagonal-long-range-order. We discuss the analytical formula of the zero-temperature condensate density of Cooper pairs as a function of Debye frequency and energy gap, and calculate the condensate fraction for some metals. We study the density of Cooper pairs also at finite temperature showing its connection with the gap order parameter and the effects of the electron-phonon coupling. Finally, we analyze similarities and differences between superconductors and ultracold Fermi atoms in the determination of their condensate density by using the BCS theory.

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