Influence of relative confinement oscillation and concomitant oscillatory impurity domain on excitation profile of doped quantum dots

Influence of Oscillatory Impurity Potential and Concurrent Gasping of Impurity Spread on Excitation Profile of Doped Quantum Dots

“…A large value of indicates a highly quenched spatial extension of impurity potential whereas a small accounts for spatially dispersed one. Thus, a change in in turn causes a change in the extent of dot-impurity overlap that affects the excitation pattern noticeably [27][28][29]. The parameter in the impurity potential is equivalent to 1/ 2 , where is proportional to the width of the impurity potential [35,36].…”

“…We can now introduce the time dependence into the impurity potential and impurity domain so that 0 → 0 ( ) and 0 → ( ) [29]. Now the time-dependent Hamiltonian reads…”

“…The matrix element involving any two arbitrary eigenstates and of 0 due to 1 ( ) reads (Details of derivation and various relevant quantities are given in references [29,30]…”

“…We write the trial wave function ( , ) as a superposition of the product of harmonic oscillator eigenfunctions ( ) and ( ), respectively, as follows [29]:…”

“…We conceive such a gasping impurity with a view to making the problem more realistic and rational. Recently we have done some works on this kind of time-dependent impurity spread in a different contexts [29,30]. Thus, in the present enquiry we explore the combined role of oscillatory impurity potential and impurity stretch on the said excitation profile.…”