Selected Topics in Graphene Physics
Graphene research is currently one of the largest fields in condensed matter. Due to its unusual electronic spectrum with Dirac-like quasiparticles, and the fact that it is a unique example of a metallic membrane, graphene has properties that have no match in standard solid-state textbooks. In these lecture notes, I discuss some of these properties that are not covered in detail in recent reviews (Castro Neto AH, Guinea F, Peres NMR, Novoselov KS, Geim AK (2009) Rev Mod Phys 81:109). We study the particular aspects of the physics/chemistry of carbon that influence the properties of graphene; the basic features of graphene’s band structure including the \(\pi\) and \(\sigma\) bands; the phonon spectra in free floating graphene; the effects of a substrate on the structural properties of graphene; and the effect of deformations in the propagation of electrons. The objective of these notes is not to provide an unabridged theoretical description of graphene but to point out some of the peculiar aspects of this material.
KeywordsGraphene Sheet Flexural Mode Time Reversal Symmetry Dirac Particle Hybridization Energy
It is a pleasure to acknowledge countless conversations with Eva Andrei, Misha Fogler, Andre Geim, Francisco Guinea, Silvia Kusminskiy, Valeri Kotov, Alessandra Lanzara, Caio Lewenkopf, Johan Nilsson, Kostya Novoselov, Eduardo Mucciolo, Vitor Pereira, Nuno Peres, Marcos Pimenta, Tatiana Rappoport, João Lopes dos Santos, and Bruno Uchoa. This work was possible due to the financial support of a Department of Energy grant DE-FG02-08ER46512 and the Office of Naval research grant MURI N00014-09-1-1063.
- 5.Castro Neto, A.H., Guinea, F., Peres, N.M.R.: Drawing conclusions from graphene. Phys. World 19, 33 (2006)Google Scholar
- 9.Gordon, B.: Lectures on Quantum Mechanics. Addison-Wesley, Reading, MA (1990)Google Scholar
- 10.Pauling, L.: The Nature of the Chemical Bond. Cornell University Press, Ithaca (1960)Google Scholar
- 12.Harrison, W.A.: Elementary Electronic Structure. World Scientific, Singapore (2005)Google Scholar
- 16.Chaikin, P., Lubensky, T.C.: Introduction to Condensed Matter Physics. Cambridge University Press, Cambridge (1995)Google Scholar