Dynamics of electrons in gradient nanostructures (exactly solvable model)

0341167 - ÚFE 2010 RIV DE eng J - Journal Article
Shvartsburg, A. B. - Kuzmiak, Vladimír - Petite, G.
Dynamics of electrons in gradient nanostructures (exactly solvable model).
European Physical Journal B. Roč. 72, č. 1 (2009), s. 77-88. ISSN 1434-6028. E-ISSN 1434-6036
Institutional research plan: CEZ:AV0Z20670512
Keywords : wave propagation * tunneling * electronic transport
Subject RIV: JA - Electronics ; Optoelectronics, Electrical Engineering
Impact factor: 1.466, year: 2009

A flexible multi-parameter exactly solvable model of potential profile, containing an arbitrary number of continuous smoothly shaped barriers and wells, both equal or unequal, characterized by finite values and continuous profiles of the potential and of its gradient, is presented. We demonstrate an influence of both gradient and curvature of these potentials on the electron transport and spectra of symmetric and asymmetric double-well (DW) potentials. The use of this model is simplified due to one to one correspondence between the algorithms of calculation of the transmittance of convex barriers and energy spectra of concave wells. We have shown that the resonant contrast between maximum and minimum in over-barrier reflectivity of curvilinear barrier exceeds significantly the analogous effect for rectangular barrier with the same height and width.
Permanent Link: http://hdl.handle.net/11104/0184241