Paramagnetic and Diamagnetic Susceptibility of Infinite Quantum Well

Abstract

Paramagnetism and diamagnetism of a material characterized by its magnetic susceptibility. When a material is exposed to an external magnetic field, magnetic susceptibility is defined as the ratio of the induced magnetization and the magnetic field. A paramagnetic material has magnetic susceptibility with positive sign. On the other hand, a diamagnetic material has magnetic susceptibility with negative sign. Atomically, paramagnetic materials consist of atoms that has orbital with unpaired electrons. Theoretical study of paramagnetic susceptibility and diamagnetic susceptibility are well described by Pauli paramagnetism and Landau diamagnetism, respectively. Although paramagnetism and diamagnetism are among the simplest magnetic properties of material that are studied in basic physics, theoretical derivations of Pauli paramagnetic and Landau diamagnetic susceptibility require second quantization formalism of quantum mechanics. We aim to discuss the paramagnetic and diamagnetic susceptibilities for simple three-dimensional quantum well using first quantization formalism.

Optical, Charge Transport, Thermal, Magnetic, Plasmonic, and Quantum Mechanical Properties of Iridium

“…The electrical conduction is attributed to itinerant electrons and holes charge carriers, implying that these charge carriers partially behave like free charge carriers or like localized ones. The presence of this partial localization or its spatial confinement decreases the magnetic susceptibility, as shown by Cahaya, who extended the known relations of Pauli and Landau susceptibilities by incorporating the following two facts in his derivation [70]: (a) by considering an infinite quantum well, he assumed null values of the charge carrier wave functions at the boundaries of the medium instead of periodic boundary conditions, and (b) an artificial local confinement was introduced through a spatially periodic magnetic field whose spatial period λq was tuned through the wavenumber q = 2π/λq. This field introduced local confinement of charge carriers in those planes perpendicular to the direction of the magnetic field.…”

Ohmic and Diamagnetic Currents Contribution on the Electromagnetic Penetration Depth of a Conducting Surface

“…The effect of Ohmic current has been widely studied in surface designs [9], [10]. On the other hand, the study of diamagnetic current is gaining increasing attention in physics [11], [12] and related areas [13], [14].…”