Effect of a single localized impurity on the local density of States in monolayer and bilayer graphene.
We use the T-matrix approximation to analyze the effect of a localized impurity on the local density of states in monolayer and bilayer graphene. For monolayer graphene the Friedel oscillations generated by intranodal scattering obey an inverse-square law, while the internodal ones obey an inverse law. In the Fourier transform this translates into a filled circle of high intensity in the center of the Brillouin zone, and empty circular contours around its corners. For bilayer graphene both types of oscillations obey an inverse law.
Bena
Cristina
C
Service de Physique Théorique, CEA/Saclay, Orme des Merisiers, 91190 Gif-sur-Yvette CEDEX, France.