Finite difference analysis of confined states in quantum-dot system with an efficient mesh strategy

Semiconductor quantum dots have been attracted more attention in quantum computation and optoelectronic applications due to the ease of bandstructure tailoring and three-dimensional quantum confinement. Thus, an accurate and efficient solution of energy bandstructure of the quantum dots is important for device design and performance evaluation. In this paper, we present an efficient solution procedure for the confinement states of coupled two quantum dots based on three-dimensional finite difference technique. Through the new mesh strategy with a transition region between the quantum dot confinement region and the surrounding barrier matrix region, the solution efficiency is improved in terms of number of elements as well the memory consumption while assuring calculation accuracy at convergence. In order to verify the calculation results, we take a configuration of double quantum dots which had been solved by another technique published in the literature, to illustrate our analysis procedure. Results obtained through our technique agree well with the published results. The presented new mesh strategy brings flexibility in generating element divisions in the finite difference technique and enhances the potential of finite difference technique.