Effect of a Single Localized Impurity on the Local Density of States in Monolayer and Bilayer Graphene

2007/06/30 by Cristina Bena · 4 citations
Engineering · Materials Science · Physics and Astronomy · #Graphene research and applications #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.100.076601

published as Phys. Rev. Lett. 100, 076601 (2008) · 8 pages, 3 figures, version accepted for publication

openalex publication_date 2008/02/20 · arxiv created 2008/02/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Electron-electron interactions and the phase diagram of a graphene bilayer
• The Focusing of Electron Flow and a Veselago Lens in Graphene p-n Junctions
• Scattering of charge carriers by point defects in bilayer graphene

Cited by

• Electronic properties of a biased graphene bilayer
• Intervalley quantum interference and measurement of Berry phase in bilayer graphene
• The infrared conductivity of graphene on top of silicon oxide
• Electronic structure of graphene beyond the linear dispersion regime