RKKY in half-filled bipartite lattices: Graphene as an example

By Saeed Saremi. 2007

162 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/cd11fb4efd76f30ac268d7777eaea6871cfba946

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Materials Chemistry

Citations in the corpus

The electronic properties of graphene (2007, background): “This behavior is hanged when the impurity potentialis lo alized on atomi s ales (Brey et al., 2007; Saremi,2007), or for highly symmetri al ouplings (Saremi,2007).”
Emergence of magnetism in graphene materials and nanostructures (2010, background): “The Ruderman-Kittel-KasuyaYoshida interaction is expected to be weak in this case due to the semi-metallic electronic structure of graphene (Brey and Fertig, 2006; Dugaev et al., 2006; Saremi, 2007; Vozmediano et al., 2005).”