Volume 84, Number 1, October 2008
Article Number 17003
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
Published online 18 September 2008
EPL, 84 (2008) 17003
DOI: 10.1209/0295-5075/84/17003

Midgap states in corrugated graphene: Ab initio calculations and effective field theory

T. O. Wehling1, A. V. Balatsky2, 3, A. M. Tsvelik4, M. I. Katsnelson5 and A. I. Lichtenstein1

1   I. Institut für Theoretische Physik, Universität Hamburg - Jungiusstraße 9, D-20355 Hamburg, Germany, EU
2   Theoretical Division, Los Alamos National Laboratory - Los Alamos, NM 87545, USA
3   Center for Integrated Nanotechnologies, Los Alamos National Laboratory - Los Alamos, NM 87545, USA
4   Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory Upton, NY 11973-5000, USA
5   Institute for Molecules and Materials, Radboud University of Nijmegen Heijendaalseweg 135, 6525 AJ Nijmegen, The Netherlands, EU

received 24 June 2008; accepted in final form 22 August 2008; published October 2008
published online 18 September 2008

We investigate the electronic properties of corrugated graphene and show how rippling-induced pseudo-magnetic fields alter graphene's low-energy electronic properties by combining first-principle calculations with an effective field theory. The formation of flat bands near the Fermi level corresponding to pseudo-Landau levels is studied as a function of the rippling parameters. Quenched and relaxed ripples turn out to be fundamentally different is this respect: it is demonstrated, both numerically and analytically, that annealing of quenched ripples can destroy the flat bands.

73.21.-b - Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems.
73.22.-f - Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals.

© EPLA 2008