Effect of electron-longitudinal-optical phonon coupling on the thermodynamic properties of asymmetric semiconductor quantum wire under the influence of magnetic field

The effect of polaron on the thermodynamic properties of an asymmetric semiconductor quantum wire (ASCQW) in the presence of magnetic field is investigated. Both Lee–Low–Pines (LLP) approach and canonical ensemble theory (CET) are used in order to perform complete free energy spectrum on the one hand and derive thermodynamic parameters including internal and free energies, entropy, heat capacity, Magnetization and magnetic susceptibility on the other hand. It is shown that both Electron-Longitudinal-Optical (ELO) phonon coupling and magnetic effects modified considerably the thermodynamic properties of an ASCQW. Whatever the asymmetric quantum wire value, there is a critical value of the magnetic field ( \(B \approx 0.4\;{\text{mT}}\) $B\approx 0.4\text{mT}$ ) which conducts to the maximum value of the heat capacity. For the given value of the magnetic field, the system stores the most energy, as particles are in the maximum thermal agitation range. In the presence of the magnetic field, entropy is a decreasing function of ELO phonon interaction. Energy, magnetization and magnetic susceptibility increase with magnetic field intensity. Thus, the magnetic field plays a role of confining parameter, which increases the stability of polaronic entities in low-dimensional ASCQW. The thermodynamic properties of the ASCQW are more affected with very high intensity of the magnetic field and low ELO phonon coupling.