Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene

Details Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene

2008-04-14

arxiv.org/abs/0804.2255v1

Phys. Rev. Lett. 101, 156802 (2008)

Physics

Condensed Matter

Materials Science

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.101.156802

We calculate the screening function in bilayer graphene (BLG) both in the intrinsic (undoped) and the extrinsic (doped) regime within random phase approximation, comparing our results with the corresponding single layer graphene (SLG) and the regular two dimensional electron gas (2DEG). We find that the Kohn anomaly is strongly enhanced in BLG. We also discuss the Friedel oscillation and the RKKY interaction, which are associated with the non-analytic behavior of the screening function at $q=2k_F$. We find that the Kohn anomaly, the Friedel oscillation, and the RKKY interaction are all qualitatively different in the BLG compared with the SLG and the 2DEG.

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