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arXiv · 2208.10381

Analytical solutions of topological surface states in a series of lattice models

Masaru Onoda
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Abstract

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.

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Masaru Onoda. 2022-08-22. Analytical solutions of topological surface states in a series of lattice models. https://doi.org/10.1103/physrevb.106.245409

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