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Nonlinear screening in multilayer graphene systems.

Marcelo A Kuroda¹, J Tersoff, Glenn J Martyna

¹IBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA. mkuroda@illinois.edu

Physical Review Letters

|April 8, 2011

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Electrostatic screening in multilayer graphene is highly nonlinear. This study reveals screening length varies significantly with experimental conditions, impacting graphene electronics.

Area of Science:

Condensed Matter Physics
Materials Science
Nanotechnology

Background:

Electrostatic screening in multilayer graphene is crucial for electronic device performance.
The nonlinear nature of screening arises from the vanishing density of states at the Fermi level.
Previous experiments reported a wide range of screening lengths, lacking a unified explanation.

Purpose of the Study:

To investigate electrostatic screening normal to the layers in multilayer graphene using a discrete model.
To understand the charge and temperature dependence of screening.
To reconcile the diverse experimental observations of screening lengths.

Main Methods:

Development and application of a discrete model for multilayer graphene.
Analysis of charge screening phenomena.

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Investigation of temperature and doping effects on screening length.

Main Results:

The discrete model demonstrates strong charge and temperature dependence of screening.
A simple continuum limit at T=0 is identified for undoped systems.
Doped systems exhibit complex behavior due to minority-carrier screening.
Screening length variation exceeding an order of magnitude is predicted based on experimental conditions.

Conclusions:

The findings reconcile the wide range of screening lengths reported in previous experiments.
The study highlights the significant impact of experimental conditions on electrostatic screening in multilayer graphene.
Results have critical implications for the technological applications of multilayer graphene in electrodes and transistor channels.