论文标题
一系列晶格模型中拓扑表面状态的分析解决方案
Analytical solutions of topological surface states in a series of lattice models
论文作者
论文摘要
我们在一系列基于ANSATZ的三维拓扑绝缘子及其非人工体学对应物的一系列晶格模型中得出了表面状态的分析解。最近邻里跳跃中的自旋翼矩阵的限制是该系列的特征。这种限制提供了ANSATZ，并有利于表面特征向量的分析可溶性。尽管受到限制，该系列仍保留了足够的可设计性来描述各种类型的表面状态。我们还描述了它如何用作阐明拓扑表面上独特现象的可寓言工具。
We derive the analytical solutions of surface states in a series of lattice models for three-dimensional topological insulators and their nontopological counterparts based on an ansatz. A restriction on the spin-flip matrices in nearest-neighbor hopping characterizes the series. This restriction affords the ansatz and favors analytical solvability of surface-state eigenvectors. Despite the restriction, the series retains sufficient designability to describe various types of surface states. We also describe how it can serve as a tractable tool for elucidating unique phenomena on topological surfaces.
