Authors

H. Lee; J. Kim; E. R. Mucciolo; G. Bouzerar;S. Kettemann

Comments

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Abbreviated Journal Title

Phys. Rev. B

Keywords

Physics, Condensed Matter

Abstract

We investigate the effects of nonmagnetic disorder on the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction in graphene by studying numerically the Anderson model with on-site and hopping disorder on a honeycomb lattice at half filling. We evaluate the strength of the interaction as a function of the distance R between two magnetic ions, as well as their lattice positions and orientations. In the clean limit, we find that the strength of the interaction decays as 1/R-3, with its sign and oscillation amplitude showing strong anisotropy. With increasing on-site disorder, the mean amplitude decreases exponentially at distances exceeding the elastic mean free path. At smaller distances, however, the oscillation amplitude increases strongly and its sign changes on the same sublattice for all directions but the armchair direction. For random hopping disorder, no sign change is observed. No significant changes to the geometrical average values of the RKKY interaction are found at small distances, while exponential suppression is observed at distances exceeding the localization length.

Journal Title

Physical Review B

Volume

85

Issue/Number

7

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

5

WOS Identifier

WOS:000300566200011

ISSN

1098-0121

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