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ABACUS Exercise: Bandstructure – Kronig-Penney Model and Tight-Binding Exercise

By Dragica Vasileska1, Gerhard Klimeck2

1. Arizona State University 2. Purdue University

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Abstract

The objective of this exercise is to start with the simple Kronig-Penney model and understand formations of bands and gaps in the dispersion relation that describes the motion of carriers in 1D periodic potentials. The second exercise examines the behavior of the bands at the Brillouin zone boundaries. Finally, a simplified tight-binding approach for 1D lattice has to be derived as part of the third exercise..

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Researchers should cite this work as follows:

  • Dragica Vasileska; Gerhard Klimeck (2010), "ABACUS Exercise: Bandstructure – Kronig-Penney Model and Tight-Binding Exercise," https://nanohub.org/resources/9372.

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