Work

Electronic States in Nanowires with Hexagonal Cross-Section

Year: 2020

Type: article

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) k ⋅ p Hamiltonians. The external fields (electrical, magnetic or strain) can be consistently introduced into the problem as well.

Source: Semiconductors

DOI: 10.1134/s1063782620140134

Author: I. A. Kokurin

Institutions: National Research Mordovia State University, Saint Petersburg State Electrotechnical University, Ioffe Institute

Language: English

Topic: Semiconductor Quantum Structures and Devices

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3119631980

FWCI: 0.208

Cites: 15

Cited by: 2

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