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arXiv 1012.3385cond-mat.mes-hallcond-mat.supr-connlin.CD
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弹道Andreev腔的电导和热功率

Conductance and Thermopower of Ballistic Andreev Cavities

Thomas Engl, Jack Kuipers, Klaus Richter

摘要:

当将超导体耦合到正常导电区域时,系统的物理性质受到超导体的高度影响。我们将利用基于轨道的半经典方法研究一个或两个超导体对弹道混沌量子点电导的影响。结果表明,超导体对电导的影响是通道数的数量级,Drude电导修正的符号取决于超导导线和正常导线通道数的特定比值。在两个具有相同化学势的超导体的情况下,我们也将看到电导和量子校正的符号如何受到它们的相位差的影响。只要随机矩阵理论的结果存在,这些是由我们的计算再现。此外,在超导体的化学势与两个正常引线之一的化学势相同的情况下,电导在一定条件下显示出与正常金属-超导体结相似的效果。半经典框架也能够处理由一个混沌点、两个正常引线和两个超导岛组成的混沌Andreev台球的热电势,并表明它在超导体的相位差上是反对称的。

英文摘要:

When coupling a superconductor to a normal conducting region the physical properties of the system are highly affected by the superconductor. We will investigate the effect of one or two superconductors on the conductance of a ballistic chaotic quantum dot to leading order in the total channel number using trajectory based semiclassics. The results show that the effect of one superconductor on the conductance is of the order of the number of channels and that the sign of the correction from the Drude conductance depends on the particular ratios of the numbers of channels of the superconducting and normal conducting leads. In the case of two superconductors with the same chemical potential we will also see how the conductance and the sign of quantum corrections are affected by their phase difference. As far as random matrix theory results exist these are reproduced by our calculations. Furthermore in the case that the chemical potential of the superconductors is the same as that of one of the two normal leads the conductance shows, under certain conditions, similar effects as a normal metal-superconductor junction. The semiclassical framework is also able to treat the thermopower of chaotic Andreev billiards consisting of one chaotic dot, two normal leads and two superconducting islands and shows it to be antisymmetric in the phase difference of the superconductors.

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