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

@misc{citeulike:1064965, 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\$.}, archivePrefix = {arXiv}, author = {Gladilin, V. N. and Tempere, J. and Silvera, I. F. and Devreese, J. T.}, citeulike-article-id = {1064965}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0701565}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0701565}, day = {23}, eprint = {cond-mat/0701565}, keywords = {curved, superfluid}, month = {Jan}, posted-at = {2007-01-24 11:00:20}, priority = {2}, title = {Critical temperature and specific heat for Cooper pairing on a spherical surface}, url = {http://arxiv.org/abs/cond-mat/0701565}, year = {2007} }

TY - ELEC ID - citeulike:1064965 L3 - citeulike-article-id:1064965 N2 - 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$^6$. TI - Critical temperature and specific heat for Cooper pairing on a spherical surface KW - curved KW - superfluid AU - Gladilin, VN AU - Tempere, J AU - Silvera, IF AU - Devreese, JT PY - 2007/Jan/23/ UR - http://arxiv.org/abs/cond-mat/0701565 ER -