Curvature-induced geometric potential in strain-driven nanostructures
  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. 
Carmine Ortix, Suwit Kiravittaya, Oliver G. Schmidt, and Jeroen van   den Brink
cond-mat.mes-hall