Nonlinear screening of charge impurities in graphene

2006/09/30 by M. I. Katsnelson · 4 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.74.201401

published as Phys. Rev. B 74, 201401(R) (2006) · 3 pages, 1 figure; final version as published in the journal

openalex publication_date 2006/11/03 · arxiv created 2006/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

It is shown that a ``vacuum polarization'' induced by Coulomb potential in graphene leads to a strong suppression of electric charges even for undoped case (no charge carriers). A standard linear response theory is therefore not applicable to describe the screening of charge impurities in graphene. In particular, it overestimates essentially the contributions of charge impurities into the resistivity of graphene.

Citations

• Relativistic Quantum Theory
• Sub-Poissonian Shot Noise in Graphene
• Electric Field Effect in Atomically Thin Carbon Films
• Quantum Hall Ferromagnetism in Graphene
• Two-dimensional atomic crystals
• Zitterbewegung, chirality, and minimal conductivity in graphene

Cited by

• Bound States and Supercriticality in Graphene-Based Topological Insulators
• Ground State of Graphene in the Presence of Random Charged Impurities
• The magnetic field particle–hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas
• Phase-Coherent Transport in Graphene Quantum Billiards