Issue
EPL
Volume 84, Number 5, December 2008
Article Number 57007
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI http://dx.doi.org/10.1209/0295-5075/84/57007
Published online 10 December 2008
EPL, 84 (2008) 57007
DOI: 10.1209/0295-5075/84/57007

Graphene as an electronic membrane

Eun-Ah Kim1 and A. H. Castro Neto2

1   Stanford Institute for Theoretical Physics and Department of Physics, Stanford University - Stanford, CA 94305, USA
2   Department of Physics, Boston University - 590 Commonwealth Avenue, Boston, MA 02215, USA

neto@bu.edu

received 24 July 2008; accepted in final form 27 October 2008; published December 2008
published online 10 December 2008

Abstract
We investigate the membrane aspect of graphene and its impact on the electronic properties. We show that rippling generates spatially varying electrochemical potential that is proportional to the square of the local curvature. This is due to the rehybridization effects and the change in the next-neighbor hopping caused by curvature. We estimate the electrochemical- potential variation associated with the rippling observed in recent scanning tunneling microscopy (STM) to be of order 30 meV. Further we show that the charge inhomogeneity in turn stabilizes ripple formation.

PACS
73.20.-r - Electron states at surfaces and interfaces.
61.48.De - Structure of carbon nanotubes, boron nanotubes, and closely related graphitelike systems.
81.05.Uw - Carbon, diamond, graphite.

© EPLA 2008