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) $\mathbf{k}\cdot \mathbf{p}$ Hamiltonians. The external fields (electrical, magnetic or strain) can be consistently introduced into the problem as well.

3 pages, 2 figures

References in corpus (2)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Electronic states in cylindrical core-multi-shell nanowire

Cited by in corpus (1)

• Band structure of n- and p-doped core-shell nanowires