BCS Superconductivity with Fixed Number Parity

Details BCS Superconductivity with Fixed Number Parity BCS Superconductivity with Fixed Number Parity

1994-02-28

arxiv.org/abs/cond-mat/9402113v1

Phys. Rev. B1. vol 50, p. 1152 (1994)

Physics

Condensed Matter

17 pages (no figures), RevTeX version 3.0

Scientific paper

10.1103/PhysRevB.50.1152

We investigate superconductivity in a grand canonical ensemble with {\it fixed number parity} (even or odd). In the low temperature limit we find small corrections to the BCS gap equation and energy spectrum $E(k)$. The even-odd free energy difference in the same limit decreases linearly with temperature, in accordance with the behavior observed experimentally and previously arrived at from a quasiparticle model. The theory yields deviations from the BCS predictions for the specific heat, ultrasound attenuation, NSR relaxation rate, and electromagnetic absorption.

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