Effect of Temperature on the Binding Energy of Low Lying Excited States in a Quantum Well

Abstract

The temperature dependent binding energy of some low lying excited states for a compositional Quantum Well have been calculated for various impurity locations by extending the investigation of Elabsy.4 It has been observed that the temperature plays an important role in the binding energy of low lying excited states also.

A study of quantum pseudodot system with a two-dimensional pseudoharmonic potential using Nikiforov-Uvarov method

“…We solved exactly the Schrödinger and Klein-Gordon equations for an electron under the pseudoharmonic interaction consisting of quantum dot potential and antidot potential in the presence of a uniform strong magnetic field − → B along the z axis and AB flux field created by an infinitely long selenoid inserted inside the pseudodot. We obtained bound state solutions including the energy spectrum formula (39) and wave function (44) for a Schrödinger electron. Overmore, for the Klein-Gordon electron, the positive energy equation (67) and wave function (68) is found for S conf ( − → r ) = +V conf ( − → r ) case.…”

“…These two cases are reduced to the Schrödinger equation with a potential interaction V conf ( − → r ) and free field interaction solutions, respectively. Now we study the effect of the pseudoharmonic potential, the presence and absence of magnetic field B, the presence and absence of AB flux density ξ and the antidot potential on the energy levels (39). To see the dependence of the energy spectrum on the magnetic quantum number, m, we take the following values: magnetic field − → B = (6 T ) z, AB flux field ξ = 8, chemical potential V 0 = 0.68346 (meV ) and r 0 = 8.958 × 10 −6 cm [22].…”

“…We have two sets of quantum numbers (n, m, β) and (n ′ , m ′ , β ′ ) for dot (electron) and antidot (hole), respectively. Therefore, expression (39) for the energy levels of the electron (hole) may be readily used for a study of the thermodynamic properties of quantum structures with dot and antidot in the presence and absence of magnetic field.…”

“…where µ e is the electronic mass, E Γ p = 7.51 eV is the energy related to the momentum matrix element, ∆ 0 = 0.341 eV is the spin-orbit splitting and E Γ g (T ) is the temperature-dependence of the energy gap (in eV units) at the Γ point which is given by [12,36,38,39]…”

Hydrostatic pressure and temperature dependence of correlation energy in a spherical quantum dot

“…Nithiyananthi and Jayakumar [20] have studied the effect of temperature on the binding energy of low lying excited states in a quantum well and they found that the binding energy decreased with increase of temperature. Parascandalo et al [21] studied the effects of quantum confinement and electron-electron correlation in Si -deformed quantum wires.…”