Magnetic Percolation and the Phase Diagram of the Disordered RKKY model

Abstract

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.

arXiv comment5 pages, 3 figures; figure formatting modified, typos fixed

References in corpus (6)

• Polaron percolation in diluted magnetic semiconductors
• Transition temperature of ferromagnetic semiconductors: a dynamical mean field study
• Monte Carlo Study of Ferromagnetism in (III,Mn)V Semiconductors
• Phase Diagram of a Model for Diluted Magnetic Semiconductors Beyond Mean-Field Approximations
• Magnetic properties of GaMnAS from an effective Heisenberg Hamiltonian
• Exchange anisotropy, disorder and frustration in diluted, predominantly ferromagnetic, Heisenberg spin systems

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