The Influence of Electrostatic Lenses on Wave Packet Dynamics
The control of coherent electrons is becoming relevant in emerging devices as (semi-)ballistic transport is observed within nanometer semiconductor structures at room temperature. The evolution of a wave packet – representing an electron in a semiconductor – can be manipulated using specially shaped potential profiles with convex or concave features, similar to refractive lenses used in optics. Such electrostatic lenses offer the possibility, for instance, to concentrate a single wave packet which has been invoked by a laser pulse, or split it up into several wave packets. Moreover, the shape of the potential profile can be dynamically changed by an externally applied potential, depending on the desired behaviour. The evolution of a wave packet under the influence of a two-dimensional potential – the electrostatic lens – is investigated by computing the physical densities using the Wigner function. The latter is obtained by using the signed-particle Wigner Monte Carlo method.
KeywordsWave Packet Wigner Function Electron Wave Packet Electrostatic Lens Lens Shape
This work was partially supported by the Bulgarian NSF under the grant DFNI 02/20.
- 5.Muraguchi, M., Endoh, T.: Size dependence of electrostatic lens effect in vertical MOSFETs. Jpn. J. Appl. Phys. 53(4S), 04EJ09 (2014)Google Scholar
- 7.Sellier, H., Hackens, B., Pala, M.G., Martins, F., Baltazar, S., Wallart, X., Desplanque, L., Bayot, V., Huant, S.: On the imaging of electron transport in semiconductor quantum structures by scanning-gate microscopy: successes and limitations. Semicond. Sci. Technol. 26(6), 064008 (2011)CrossRefGoogle Scholar
- 11.Ellinghaus, P., Nedjalkov, M., Selberherr, S.: Implications of the coherence length on the discrete Wigner potential. In: 2014 International Workshop on Computational Electronics (IWCE), pp. 1–3 (2014)Google Scholar
- 14.Sellier, J.M., Nedjalkov, M., Dimov, I., Selberherr, S.: The role of annihilation in a Wigner Monte Carlo approach. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2013. LNCS, vol. 8353, pp. 186–194. Springer, Heidelberg (2014) Google Scholar