Lande-like formula for the g factors of hole-nanowire subband edges

TL;DR

This paper presents a theoretical analysis of the Zeeman splitting in hole-quantum-wire subband edges, revealing how quantum confinement and spin-orbit coupling influence g factors with a new analytical formula.

Contribution

It introduces a compact analytical formula that captures the interplay of bulk material properties and orbital effects on g factors in hole nanowires.

Findings

The g factor depends on intrinsic material properties and orbital angular momentum.

Quantum confinement affects the Zeeman splitting in nontrivial ways.

An analytical formula predicts Zeeman splitting in various hole-wire geometries.

Abstract

We have analyzed theoretically the Zeeman splitting of hole-quantum-wire subband edges. As is typical for any bound state, their g factor depends on both an intrinsic g factor of the material and an additional contribution arising from a finite bound-state orbital angular momentum. We discuss the quantum-confinement-induced interplay between bulk-material and orbital effects, which is nontrivial due to the presence of strong spin-orbit coupling. A compact analytical formula is provided that elucidates this interplay and can be useful for predicting Zeeman splitting in generic hole-wire geometries.