Mikhail Vladimirovich Deryabin and Morten Willatzen
Modelling of Electron States in Quantum Wire Systems Influence of Stochastic Effects on the Confining Potential
1448 - 1451
2008
2
7
International Journal of Nuclear and Quantum Engineering
https://publications.waset.org/pdf/9561
https://publications.waset.org/vol/19
World Academy of Science, Engineering and Technology
In this work, we address theoretically the influence of red and white Gaussian noise for electronic energies and eigenstates of cylindrically shaped quantum dots. The stochastic effect can be imagined as resulting from crystalgrowth statistical fluctuations in the quantumdot material composition. In particular we obtain analytical expressions for the eigenvalue shifts and electronic envelope functions in the k . p formalism due to stochastic variations in the confining bandedge potential. It is shown that white noise in the bandedge potential leaves electronic properties almost unaffected while red noise may lead to changes in state energies and envelopefunction amplitudes of several percentages. In the latter case, the ensembleaveraged envelope function decays as a function of distance. It is also shown that, in a stochastic system, constant ensembleaveraged envelope functions are the only bounded solutions for the infinite quantumwire problem and the energy spectrum is completely discrete. In other words, the infinite stochastic quantum wire behaves, ensembleaveraged, as an atom.
Open Science Index 19, 2008