Calculation of 2D electronic band structure using matrix mechanics

R. L. Pavelich; F. Marsiglio

doi:10.1119/1.4964353

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arXiv · 1602.06851

Calculation of 2D electronic band structure using matrix mechanics

R. L. Pavelich·F. Marsiglio

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Abstract

We extend previous work applying elementary matrix mechanics to one-dimensional periodic arrays (to generate energy bands) to two-dimensional arrays. We generate band structures for the square lattice "2D Kronig-Penney model" (square wells), muffin-tin potential (cylindrical wells), and Gaussian wells. We then apply the method to periodic arrays of more than one atomic site in a unit cell, in particular, the case of materials with hexagonal lattices like graphene. These straightforward extensions of undergraduate-level calculations allow students to readily determine band structures of current research interest.

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R. L. Pavelich, F. Marsiglio. 2016-02-22. Calculation of 2D electronic band structure using matrix mechanics. https://doi.org/10.1119/1.4964353

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