We report subnanometer, high-bandwidth measurements of the out-of-plane (vertical) motion of atoms in freestanding graphene using scanning tunneling microscopy. By tracking the vertical position over a long time period, a 1000-fold increase in the ability to measure space-time dynamics of atomically thin membranes is achieved over the current state-of-the-art imaging technologies. We observe that the vertical motion of a graphene membrane exhibits rare long-scale excursions characterized by both anomalous mean-squared displacements and Cauchy-Lorentz power law jump distributions.
@article{arxiv.1609.06301,
title = {Anomalous Dynamical Behavior of Freestanding Graphene Membranes},
author = {M. L. Ackerman and P. Kumar and M. Neek-Amal and P. M. Thibado and F. M. Peeters and S. P. Singh},
journal= {arXiv preprint arXiv:1609.06301},
year = {2016}
}