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arXiv 1409.5643cond-mat.supr-con
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纳米超导体中的Tomasch效应

The Tomasch effect in nanoscale superconductors

L. -F. Zhang, L. Covaci, F. M. Peeters

摘要:

Tomasch效应(TE)是由于非均匀超导序参量引起的准粒子干涉(QPI)引起的,它导致了超导能隙以上能量处态密度(DOS)的振荡。纳米超导体中的量子限制导致了库珀对凝聚体的不均匀分布,我们发现这触发了新的TE的表现。我们通过求解Bogoliubov-de Gennes(BdG)方程自洽地研究了纳米尺度超导体的电子结构,得到了由两种类型的过程(涉及两个或三个粒子的量子点)决定的TE.这两种类型的QPI导致额外的BCS类Bogoliubov准粒子和BCS类能隙,导致DOS的振荡和调制波图案的局部态密度。这些效应与系统的对称性密切相关。为了解析地描述双量子干涉仪的TE,建立了一个约化的$4 \times 4$子带间BdG哈密顿量.我们的研究涉及纳米超导体,纳米线或薄膜,玻色-爱因斯坦凝聚体和受限系统,如二维电子气界面超导。

英文摘要:

The Tomasch effect (TE) is due to quasiparticle interference (QPI) as induced by a nonuniform superconducting order parameter, which results in oscillations in the density of states (DOS) at energies above the superconducting gap. Quantum confinement in nanoscale superconductors leads to an inhomogenerous distribution of the Cooper-pair condensate, which we found triggers the manifestation of a new TE. We investigate the electronic structure of the nanoscale superconductors by solving the Bogoliubov-de Gennes (BdG) equations self-consistently and obtain the TE determined by two types of processes, involving two or three particle QPIs. Both types of QPIs result in additional BCS-like Bogoliubov-quasiparticles and BCS-like energy gaps leading to oscillations in the DOS and modulated wave patterns in the local density of states. These effects are strongly related to the symmetries of the system. A reduced $4 \times 4$ inter-subbands BdG Hamiltonian is established in order to describe analytically the TE of two-QPIs. Our study is relevant to nanoscale superconductors, either nanowires or thin films, Bose-Einsten condensates and confined systems such as two-dimensional electron gas interface superconductivity.

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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