Critical temperature and specific heat for Cooper pairing on a spherical surface
Abstract
Based on an exact solution of the Bardeen-Cooper-Schrieffer type Hamiltonian on a spherical surface, we calculate the specific heat for the electron system with pair correlations on a sphere. We find that it is possible to extract from the specific heat a temperature above which many-body states with broken Cooper pairs get populated. Therefore, we define this temperature as the characteristic temperature signalling the onset of a BCS-type pair-correlated state for electrons on a spherical surface. Such spherical electron systems are realized in multielectron bubbles in liquid helium, for which the above-mentioned characteristic temperature is found to be of the order of 10-100 mK. Both the specific heat and the critical temperature show a pronounced (4-6%) odd-even parity effect that persists even for numbers of electrons as large as 10.
Cite
@article{arxiv.cond-mat/0701565,
title = {Critical temperature and specific heat for Cooper pairing on a spherical surface},
author = {V. N. Gladilin and J. Tempere and I. F. Silvera and J. T. Devreese},
journal= {arXiv preprint arXiv:cond-mat/0701565},
year = {2007}
}