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  • International Journal of Thermodynamics
  • Volume:24 Issue:3
  • Bose-Einstein Condensation of Cooper-Pairs in the Conventional Superconductors

Bose-Einstein Condensation of Cooper-Pairs in the Conventional Superconductors

Authors : Ulrich KÖBLER
Pages : 238-246
Doi:10.5541/ijot.899820
View : 42 | Download : 8
Publication Date : 2021-08-29
Article Type : Research Paper
Abstract :Observed crossover events between different power functions of absolute temperature occurring below about ~1 K in the temperature dependence of the heat capacity or the thermal conductivity of the conventional superconductors are identified as transitions from Maxwell-Boltzmann to Bose-Einstein insert ignore into journalissuearticles values(BE); statistics of the Cooper-pairs. Because of the low mass of the Cooper pairs of 2me insert ignore into journalissuearticles values(with me as mass of the electron); and their high density, the BE-condensation temperature, TBE, of the Cooper-pairs is about five orders of magnitude higher than for the dilute alkali atom condensates. The condensation temperature TBE turns out to be proportional to the superconducting transition temperature TSC. From the observed TBE-values it is possible to calculate the density of the Cooper pairs. Assuming that the Cooper pairs form a dense gas of bosons, the diameter of the Cooper-pair orbitals turns out to be equal to the London penetration depth. As a conclusion, due to the large orbital diamagnetism of the Cooper-pairs pairs, only one layer of Cooper-pairs, next to the inner surface of the sample, is sufficient to shield an applied external magnetic field completely.
Keywords : Bose Einstein condensation, conventional superconductors, heat capacity, thermal conductivity

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