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Article overview
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Calculation of 2D electronic band structure using matrix mechanics | | R.L. Pavelich
; F. Marsiglio
; | | Date: |
22 Feb 2016 | | 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. | | Source: | arXiv, 1602.6851 | | Services: | Forum | Review | PDF | Favorites | |
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