Eur. Phys. J. Plus (2022) 137: 530
https://doi.org/10.1140/epjp/s13360-022-02698-4

Regular Article

Thermodynamic properties of electron–phonon in a GaAs quadratic quantum dot potential in the presence of impurity and external fields

¹ Mesoscopic and Multilayers Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 479, Dschang, Cameroon
² Center for Atomic, Molecular Physics and Quantum Optic, Faculty of Science, University of Douala, P.O. Box 8580, Douala, Cameroon

^c fotuea@yahoo.fr

Received: 15 December 2021
Accepted: 6 April 2022
Published online: 2 May 2022

Abstract

This work treats the thermodynamic properties of electron–phonon in a GaAs quadratic quantum dot potential in the presence of impurity and external field. We used the Schrödinger equation to determine the energy and the canonical ensemble approach to find the different thermodynamic properties such as Heat capacity, entropy, and free energy. Under a laser and the magnetic field, we found out that the temperature affects the stability of the particles. We also found out that the heat capacity is a decreasing function of confinement frequency strength of potential. Moreover, the system reduces its capacity to store energy until it reaches a constant value characterizing the fact that the system is no more sensitive to the confinement strength for each temperature. Furthermore, cyclotron frequency is very important during the confinement of the particles, because it helps to accelerate the particles and the system tends to stabilize when it increases. So, the cyclotron frequency and confinement strength are the parameters not to be neglected in the confinement of particles, because when they increase, the disorder reduces in the system. We discover that the exchange of energy between the system and its environment increases with the Coulombic impurity strength. So, the Coulomb impurity potential makes the electron interact with more phonon. From the result obtained, we found out that the laser frequency reduces the exchange of energy between the system and its environment when the temperature increases.