English

Curvature-induced geometric potential in strain-driven nanostructures

Mesoscale and Nanoscale Physics 2012-12-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1103.3205,
  title  = {Curvature-induced geometric potential in strain-driven nanostructures},
  author = {Carmine Ortix and Suwit Kiravittaya and Oliver G. Schmidt and Jeroen van den Brink},
  journal= {arXiv preprint arXiv:1103.3205},
  year   = {2012}
}

Comments

4 pages, 3 figures

R2 v1 2026-06-21T17:40:24.274Z