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Critical temperature and specific heat for Cooper pairing on a spherical surface | | V.N. Gladilin
; J. Tempere
; I.F. Silvera
; J.T. Devreese
; 10.1103/PhysRevB.74.104512
; | | Date: |
23 Jan 2007 | | Journal: | Phys. Rev. B 74, 104512 (2006) | | Subject: | Superconductivity | | 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$^6$. | | Source: | arXiv, cond-mat/0701565 | | Services: | Forum | Review | PDF | Favorites | |
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