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Applied Physics 2023
拓扑超导表面态涡核内部束缚态研究
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Abstract:
近年来，拓扑超导体的研究引起了人们极大的兴趣。特别是对于马约拉纳零能模(MZM)的研究，由于其在拓扑量子计算机中有着重要应用。在本文中，我们研究了一个8 × 8 Bogoliubov-de Gennes哈密顿量的系统，该系统具有粒子空穴对称性。我们介绍了该系统的拓扑相图，分析了系统表面束缚态的最低能量与角动量之间的关系。此外，我们还分析了该系统在拓扑平庸和非平庸的情况下是否存在MZM，并求解了相应的波函数。
In recent years, the research of topological superconductor has attracted tremendous interest, especially in Majorana zero mode (MZM) due to its significance application in topological quantum computer. In this work, we study of a system with 8 × 8 Bogoliubov-de Gennes Hamiltonian, the system has particle-hole symmetry, and we introduce the phase diagrams of this system. We have analyzed the relationship between the lowest energy and angular momentum of surface bound states. In addition, we have analyzed whether the system exists MZM in the case of topo-logical trivial and non-trivial, and have solved the corresponding wave function.
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