IMPACT OF HYDROSTATIC PRESSURE AND TEMPRERATURE ON THE MATRIX ELEMENTS OF A CYLINDRICAL QUANTUM WIRE

Abstract

The matrix elements of a 2 – D electron gas restricted in a GaAs cylindrical quantum wire including Rashba Spin Orbit Interaction, under simultaneous effect of hydrostatic pressure and temperature is investigated. The strong dependency of hydrostatic pressure and absolute temperature, on energy band gap and effective mass of charge carriers of the quantum wire, have been found. Because of this, the linear and non-linear properties of the quantum wire also get affected. We also observed that under the influence of electric and magnetic field, the matrix elements get affected strongly with the change in Rashba spin orbit interaction and Magnetic field. Pressure, temperature, and impurity effects on energy levels, binding energy, and linear and nonlinear optical properties of a modified Gaussian quantum wire are investigated in this article. In order to solve the single electron Schrodinger equation in the effective mass approximation, the finite element method is used. For a finite rectangular quantum wire in a transverse magnetic field, energy levels and Oscillator Strengths of an electron have been calculated. The results reveal that when the quantum wire has a certain width in one direction, the decoupled approximation, a numerical method for solving the Schrodinger equation, is not suitable for a quantum wire with a reduced cross section.