Critical temperature and specific heat for Cooper pairing on a spherical surface

Details Critical temperature and specific heat for Cooper pairing on a spherical surface Critical temperature and specific heat for Cooper pairing on a spherical surface

2007-01-23

arxiv.org/abs/cond-mat/0701565v1

Phys. Rev. B 74, 104512 (2006)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.74.104512

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$^6$.

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