Anomalous Dynamical Behavior of Freestanding Graphene Membranes
M.L. Ackerman, P. Kumar, M. Neek-Amal, P.M. Thibado, F.M. Peeters, and, S.P. Singh

TL;DR
This paper presents high-resolution measurements of freestanding graphene's vertical motion, revealing rare long-scale excursions with anomalous dynamics, achieved through advanced scanning tunneling microscopy.
Contribution
It introduces a novel high-bandwidth measurement technique enabling detailed observation of graphene's out-of-plane atomic motion over extended periods.
Findings
Observed rare long-scale excursions in graphene vertical motion
Detected anomalous mean-squared displacements
Identified Cauchy-Lorentz power law jump distributions
Abstract
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.
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