Stability of condensate in superconductors

Abstract

According to the BCS theory the superconducting condensate develops in a single quantum mode and no Cooper pairs out of the condensate are assumed. Here we discuss a mechanism by which the successful mode inhibits condensation in neighboring modes and suppresses a creation of noncondensed Cooper pairs. It is shown that condensed and noncondensed Cooper pairs are separated by an energy gap which is smaller than the superconducting gap but large enough to prevent nucleation in all other modes and to eliminate effects of noncondensed Cooper pairs on properties of superconductors. Our result thus justifies basic assumptions of the BCS theory and confirms that the BCS condensate is stable with respect to two-particle excitations.

References in corpus (5)

• Critical velocity for superfluid flow across the BEC-BCS crossover
• Extended Ginzburg-Landau formalism: systematic expansion in small deviation from the critical temperature
• Enhanced quasiparticle heat conduction of the multigap superconductor Lu2Fe3Si5
• Asymmetric Bethe-Salpeter equation for pairing and condensation
• Coexistence of phase transitions and hysteresis near BEC