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arXiv 0710.2286cond-mat.supr-concond-mat.dis-nncond-mat.mes-hall
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有限尺寸超导体的BCS理论

BCS theory for finite size superconductors

Antonio M. Garcia-Garcia, Juan D. Urbina, Emil A. Yuzbashyan, Klaus Richter, Boris L. Altshuler

摘要:

研究了超导金属晶粒的有限尺寸效应,确定了BCS的序参量和与晶粒尺寸和形状有关的低能激发谱。我们的方法结合了BCS自洽条件,谱密度和相互作用矩阵元的半经典展开,以及BCS平均场的修正。在混沌晶粒中,矩阵元的介观涨落导致序参量对激发能的平滑依赖。在可积的情况下,我们观察到壳层效应,例如,电子数的小变化导致能隙的大变化。

英文摘要:

We study finite size effects in superconducting metallic grains and determine the BCS order parameter and the low energy excitation spectrum in terms of size, and shape of the grain. Our approach combines the BCS self-consistency condition, a semiclassical expansion for the spectral density and interaction matrix elements, and corrections to the BCS mean-field. In chaotic grains mesoscopic fluctuations of the matrix elements lead to a smooth dependence of the order parameter on the excitation energy. In the integrable case we observe shell effects when e.g. a small change in the electron number leads to large changes in the energy gap.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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