We derive the effective dimensionally reduced Schrödinger equation for electrons in strain-driven curved nanostructures by adiabatic separation of fast and slow quantum degrees of freedom. The emergent strain-induced geometric potential strongly renormalizes the purely quantum curvature-induced potential and enhances the effects of curvature by several orders of magnitude. Applying this analysis to nanocorrugated thin films shows that this curvature-induced potential leads to strongly enhanced electron localization and the opening of substantial band gaps. © 2011 American Physical Society.
Curvature-induced geometric potential in strain-driven nanostructures
Ortix, Carmine;
2011-01-01
Abstract
We derive the effective dimensionally reduced Schrödinger equation for electrons in strain-driven curved nanostructures by adiabatic separation of fast and slow quantum degrees of freedom. The emergent strain-induced geometric potential strongly renormalizes the purely quantum curvature-induced potential and enhances the effects of curvature by several orders of magnitude. Applying this analysis to nanocorrugated thin films shows that this curvature-induced potential leads to strongly enhanced electron localization and the opening of substantial band gaps. © 2011 American Physical Society.File in questo prodotto:
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