All approaches to RKKY interaction in graphene are equal, but some approaches are more equal than others

2012/10/21 by E. Kogan, Kogan, E.
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1210.5744

The paper has been withdrawn because it is by far superseded (and partially corrected) by author's post arXiv:1211.3369v2 which was announced on November 20

openalex publication_date 2012/10/21 · arxiv created 2012/11/20 · arxiv updated 2012/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show explicitly that two approaches to calculations of RKKY interaction between two magnetic impurities in graphene based on Green's functions: one using coordinate--imaginary time representation, and the other using momentum--frequency representation, give exactly the same results and none of them has to operate with diverging integrals and implement the cut-off procedure. Together with this, we claim that the first approach is more convenient for the calculations than the second one.

Citations

• While calculating RKKY interaction in graphene no theorist should do a cut-off without cause

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