TL;DR
This paper investigates the RKKY interaction between magnetic impurities in graphene using perturbation theory and real space spin susceptibility, analyzing symmetry properties and extending to finite temperature.
Contribution
It provides an analytical approach to calculate RKKY interaction in graphene, emphasizing symmetry considerations and generalization to finite temperature.
Findings
Analytical expression for RKKY interaction in graphene.
Symmetry analysis of the interaction on bipartite lattice.
Extension of the method to finite temperature.
Abstract
We consider RKKY interaction between two magnetic impurities in graphene. The consideration is based on the perturbation theory for the thermodynamic potential in the imaginary time representation. We analyze the symmetry of the RKKY interaction on the bipartite lattice at half filling. Our analytical calculation of the interaction is based on direct evaluation of real space spin susceptibility. We show in the Appendix, added to the published version, that the approach can be easily generalized to the case of finite temperature.
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