Magnetic Percolation and the Phase Diagram of the Disordered RKKY model

Details Magnetic Percolation and the Phase Diagram of the Disordered RKKY model Magnetic Percolation and the Phase Diagram of the Disordered RKKY model

2006-06-20

arxiv.org/abs/cond-mat/0606532v2

Phys. Rev. Lett. 97, 127201 (2006)

Physics

Condensed Matter

Materials Science

5 pages, 3 figures; figure formatting modified, typos fixed

Scientific paper

10.1103/PhysRevLett.97.127201

We consider ferromagnetism in spatially randomly located magnetic moments, as in a diluted magnetic semiconductor, coupled via the carrier-mediated indirect exchange RKKY interaction. We obtain via Monte Carlo the magnetic phase diagram as a function of the impurity moment density $n_{i}$ and the relative carrier concentration $n_{c}/n_{i}$. As evidenced by the diverging correlation length and magnetic susceptibility, the boundary between ferromagnetic (FM) and non-ferromagnetic (NF) phases constitutes a line of zero temperature critical points which can be viewed as a magnetic percolation transition. In the dilute limit, we find that bulk ferromagnetism vanishes for $n_{c}/n_{i}>.1$. We also incorporate the local antiferromagnetic direct superexchange interaction between nearest neighbor impurities, and examine the impact of a damping factor in the RKKY range function.

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