标题： 金刚石晶格上紧束缚模型的表面结构与表面态 显示英文标题

标题： Surface Structure and Surface State of a Tight-Binding Model on a Diamond Lattice

摘要： 研究了具有最近邻跃迁的紧束缚模型在有限厚度金刚石晶格表面的状态。 我们考虑了(001)、(110)和(111)表面的系统。 即使表面方向固定，由于金刚石晶格的两种子格特性，仍然可以选择表面结构。 表面态的存在由块体哈密顿量矩阵元的拓扑性质决定。 从这个意义上说，表面态的存在由块体哈密顿量决定。 然而，矩阵元依赖于单位胞的选择，该选择应符合表面结构。 因此，表面态依赖于表面结构。 我们发现，对于每种表面方向，存在两种表面结构的选择，并且根据所选结构的不同，相应的表面态出现在表面布里渊区的不同区域。 显示英文摘要

摘要： Surface states of a tight-binding model with nearest-neighbor hopping on a diamond lattice of finite thickness are investigated. We consider systems with (001), (110), and (111) surfaces. Even if the surface direction is fixed, there is freedom to choose the surface structure due to the two-sublattice nature of a diamond lattice. The existence of surface states is governed by the topology of the matrix elements of the bulk Hamiltonian. In this sense, the existence of surface states is determined by the bulk Hamiltonian. However, the matrix elements depend on the choice of the unit cell, which should be chosen to conform to the surface structure. Thus, the surface states depend on the surface structure. We find that for each surface direction, there are two choices of surface structure, and depending on the chosen structure, the corresponding surface states emerge in distinct regions of the surface Brillouin zone.