Spin polarization and enhancement of the effective g-factor in one-dimensional electron systems with an in-plane magnetic field

Abstract

We investigated the energy subbands of ideal one-dimensional electron systems (1DESs) at T=0 K in the presence of an in-plane magnetic field parallel to the channel using a numerical self-consistent solution of the Schrödinger equation and the Poisson equation. We show that the ideal 1DES is spin polarized at low electron densities and that the effective g-factor of these 1D electrons is enhanced not only at low electron densities, but also at higher densities whenever the Fermi level rises above a 1D energy subband. We find that the effective g-factor goes down when the 1D confining potential weakens and we approach the 2D limit. Neglecting the Hartree potential, we analytically calculate the effective g-factor when only one energy subband is occupied. We show that these analytical values are in good agreement with the results of the numerical, self-consistent procedure.