Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-06-20
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 2 figures
Scientific paper
10.1103/PhysRevB.66.075202
We suggest an approach to account for spatial (composition) and thermal fluctuations in "disordered" magnetic models (e.g. Heisenberg, Ising) with given spatial dependence of magnetic spin-spin interaction. Our approach is based on introduction of fluctuating molecular field (rather than mean field) acting between the spins. The distribution function of the above field is derived self-consistently. In general case this function is not Gaussian, latter asymptotics occurs only at sufficiently large spins (magnetic ions) concentrations $n_i$. Our approach permits to derive the equation for a critical temperature $T_c$ of ferromagnetic phase transition with respect to the above fluctuations. We apply our theory to the analysis of influence of composition fluctuations on $T_c$ in diluted magnetic semiconductors (DMS) with RKKY indirect spin-spin interaction.
Semenov Yu. G.
Stephanovich V. A.
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