Superconductor-proximity effect in chaotic and integrable billiards
Superconductor-proximity effect in chaotic and integrable billiards
复制标题
混沌可积台球中的超导邻近效应
DOI：
10.1088/0031-8949/1997/t69/045
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发表时间：
1996
期刊：
影响因子：
2.9
通讯作者：
C. Beenakker
中科院分区：
文献类型：
--
作者：
J. A. Melsen;P. Brouwer;K. Frahm;C. Beenakker
在经典运动为混沌或可积的两种极端情况下，我们研究了超导体附近对台球能级密度的影响。在零磁场中，对于超导体中的均匀相，混沌台球有一个等于无索尔能量的激发间隙。相反，可积(矩形或圆形)台球在费米能级附近的态密度降低，但没有能隙。我们给出了两种情况下的数值计算，以支持我们的分析结果。对于混沌情况，我们计算了缝隙如何闭合为磁场或相位差的函数。
We explore the effects of the proximity to a superconductor on the level density of a billiard for the two extreme cases that the classical motion in the billiard is chaotic or integrable. In zero magnetic field and for a uniform phase in the superconductor, a chaotic billiard has an excitation gap equal to the Thouless energy. In contrast, an integrable (rectangular or circular) billiard has a reduced density of states near the Fermi level, but no gap. We present numerical calculations for both cases in support of our analytical results. For the chaotic case, we calculate how the gap closes as a function of magnetic field or phase difference.