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arXiv · 2101.06534

Electronic states in nanowires with hexagonal cross-section

I. A. Kokurin
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Abstract

The electron spectrum in a uniform nanowire with a hexagonal cross-section is calculated by means of a numerical diagonalization of the effective-mass Hamiltonian. Two basis sets are utilized. The wave-functions of low-lying states are calculated and visualized. The approach has an advantage over mesh methods based on finite-differences (or finite-elements) schemes: non-physical solutions do not arise. Our scheme can be easily generalized to the case of multi-band (Luttinger or Kane) ${\bf k}\cdot{\bf p}$ Hamiltonians. The external fields (electrical, magnetic or strain) can be consistently introduced into the problem as well.

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I. A. Kokurin. 2021-01-16. Electronic states in nanowires with hexagonal cross-section. https://doi.org/10.1134/s1063782620140134

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