平面和弯曲二维超导体的边缘效应和超导转变起始温度的显著提高
Edge effect and significant increase of the superconducting transition onset temperature of 2D superconductors in flat and curved geometries
摘要：
本文提出了一种简单的方法来模拟二维超导层中的曲率激活声子软化。利用量子力学的电子-声子散射矩阵和表面态的一系列集体晶格振动，计算了二维矩形薄板、空心圆柱体和空心球的超导转变温度Tc。我们将表明，在一个平坦的矩形形状是非常薄的是不足以显着提高通过声子软化的Tc。然而，如果增加曲率，则可以强烈地增强Tc。Tc相对于体积的增加是最大的在一个中空的球体，中间在一个中空的圆柱体和最弱的矩形板，当系统的相同的长度尺度被认为是。此外，我们还发现，这种二维片的边缘效应除了序参量的相位涨落效应外，还对Tc有很强的展宽效应。
英文摘要：
In this paper, we present a simple method to model the curvature activated phonon softening in a 2D superconducting layer. The superconducting transition temperature Tc in the case of a 2D rectangular sheet, a hollow cylinder and a hollow sphere of one coherence length thickness is calculated by the quantum mechanical electron-phonon scattering matrix, and a series of collective lattice vibrations in the surface state. We will show that being extremely thin in a flat rectangular shape is not enough to significantly enhance the Tc through phonon softening. However, if a curvature is added, Tc can be strongly enhanced. The increase in Tc with respect to the bulk is greatest in a hollow sphere, intermediate in a hollow cylinder and weakest for the rectangular sheet, when systems of identical length scale are considered. In addition, we find that the edge effect of such a 2D sheet has a strong broadening effect on Tc in addition to the effect of order parameter phase fluctuations.
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