Curvature-induced geometric potential in strain-driven nanostructures

Details Curvature-induced geometric potential in strain-driven nanostructures Curvature-induced geometric potential in strain-driven nanostructures

2011-03-16

arxiv.org/abs/1103.3205v1

Phys. Rev. B 84, 045438 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

We derive the effective dimensionally reduced Sch\"odinger 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 films shows that this curvature-induced potential leads to strongly enhanced electron localization and the opening of substantial band gaps.

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