Magnetization and Magnetic Susceptibility of GaAs Quantum Dot with Gaussian Confinement in Applied Magnetic Field

Abstract

We present a theoretical study of the magnetization (M) and the magnetic susceptibility (χ)of single electron Gaussian quantum dot (GQD) presented in a magnetic field. We solve the Hamiltonian of this system including the spin by using exact diagonalization method. All the energy matrix elements are obtained in closed analytic form. We investigate the effects of temperature, magnetic field and confining potential depth on the behavior of magnetization and magnetic susceptibility of the quantum dot. Comparisons show that our results are in very good agreement with reported works.

Keywords: Gaussian quantum dot, Magnetic field, Exact diagonalization method, Magnetization, Magnetic susceptibility.

PACS: 73.21.La, 65.80.-g