2007/05/31 by Saeed Saremi · 4 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.76.184430
published as Phys. Rev. B 76, 184430 (2007) (6 pages) · v3. The published version. 6 pages, 1 figure
openalex publication_date 2007/11/21 · arxiv created 2007/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first present a simple proof that for any bipartite lattice at half filling, the RKKY interaction is antiferromagnetic between impurities on opposite (i.e., A and B) sublattices and is ferromagnetic between impurities on the same sublattices. This result is valid on all length scales. We then focus on the honeycomb lattice and examine the theorem in the long distance limit by performing the low energy calculation using Dirac electrons. To find the universal (cutoff-free) result, we perform the calculation in smooth cutoff schemes, as we show that the calculation based on a sharp cutoff leads to wrong results. We also find the long distance behavior of the RKKY interaction between ``plaquette'' impurities in both coherent and incoherent regimes.