二维拓扑超导线形涡旋中零能束缚态的研究
Zero-energy bound state trapped in line-shaped vortex in topological superconductor
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中文总结 AI 辅助
研究二维拓扑超导线形涡旋核心的费米子束缚态，通过近邻效应诱导超导性，利用Rashba相互作用锁定自旋和动量，求解Bogoliubov-de Gennes方程计算相关物理量，得到涡旋内局域态密度解析表达式。
中文摘要 AI 辅助
研究了二维拓扑超导线形涡旋核心中的费米子束缚态。超导配对势用椭圆坐标描述，沿有两个焦点在端点的线缺陷处消失。通过与II型s波超导体的近邻效应在拓扑绝缘体中诱导出超导性。通过Rashba相互作用，强自旋轨道耦合使自旋和动量垂直锁定。Berry相产生零能马约拉纳态和一系列等间距的费米子激发。用Caroli、de Gennes和Matricon的方法求解Bogoliubov-de Gennes方程，计算束缚态的能量、波函数和自旋极化。得到了涡旋内局域态密度的解析表达式。
英文摘要
Fermion bound states in the core of a line-shaped vortex of a two-dimensional topological superconductor are investigated. The superconducting pairing potential, described in terms of elliptical coordinates, vanishes along a line defect with the two foci at the endpoints. The superconductivity is induced into a topological insulator via proximity effect with a type II s-wave superconductor. The spin and the momentum are perpendicularly locked by the strong spin-orbit coupling via Rashba interaction. A zero-energy Majorana state arises from the Berry phase together with a sequence of equally spaced fermion exitations. By solving the Bogoliubov-de Gennes equations using the method employed by Caroli, de Gennes and Matricon we calculate the energies, the wave-functions and spin-polarization of the bound states. An analytic expression for the local density of states within the vortex is obtained.
