Electronic states in nanowires with hexagonal cross-section
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2021
- DOI:
- 10.48550/arXiv.2101.06534
- arXiv:
- arXiv:2101.06534
- Bibcode:
- 2021arXiv210106534K
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 3 pages, 2 figures