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The coherent potential approximation for the diluted antiferromagnet

William K Holcomb
- 07 Dec 1974 - 
- Vol. 7, Iss: 23, pp 4299
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TLDR
In this paper, the excitation of the diluted Heisenberg antiferromagnet using the coherent potential approximation (CPA) by extending the work of Harris et al. for the ferromagneticnet was studied.
Abstract
The excitation of the diluted Heisenberg antiferromagnet are studied using the coherent potential approximation (CPA) by extending the work of Harris et al. for the ferromagnet. The Green functions of the system are described in terms of an effective medium which is determined self-consistently using the CPA equation to treat the scattering of a vacancy and its neighbours. Results of calculations for the spectral weight function and for the density of states are presented. When compared with previous theories the present work is generally found to be more satisfactory. Comparison is also made with neutron scattering data for (Mn1-xZnx)F2 and excellent agreement is found.

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Dynamical properties of fractal networks: Scaling, numerical simulations, and physical realizations

TL;DR: In this paper, the authors describe the advances that have been made over the past ten years on the problem of fracton excitations in fractal structures, and present a review article useful as a guide to understanding these developments and for charting future research directions.
Journal ArticleDOI

Magnetic excitations in antiferromagnetic Mn1-cZncF2 at large Zn concentrations

TL;DR: In this article, Neutron inelastic scattering techniques have been used to study Zn-substituted MnF2 crystals with average Zn concentrations c=0.22+or 0.02 and 0.7+or-0.1.
Journal ArticleDOI

Magnetic scattering of light in K(NiMg)F3

TL;DR: In this article, the dependence of magnon-pair excitations upon temperature and dilution of the magnetic ion concentration has been examined by inelastic light scattering in the antiferromagnetic compounds KNi1-cMgcF3.
Journal ArticleDOI

Theory of Magnetic Excitations in Random Antiferromagnets. I. Antiferromagnetic Resonance

TL;DR: In this article, a theory for obtaining the dynamic susceptibility χ(ω, H ) of random magnets is developed by using distribution functions and applied to analyses of the antiferromagnetic resonance of dilute magnets and mixtures of two magnetic ions.
Journal ArticleDOI

Magnetic excitations of mixed CoF2/ZnF2 crystals

TL;DR: In this paper, the magnetic excitations in mixed crystals of Co1-cZncF2 with c=0.14+or-0.02, 0.31+or.03 and 0.77+or 0.10 have been measured using neutron inelastic scattering techniques.
References
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Journal ArticleDOI

The energy spectrum of disordered systems

I.M. Lifshitz
- 01 Oct 1964 - 
TL;DR: In this article, a detailed report of the theoretical work carried out by the author during recent years on problems connected with the energy spectrum of a disordered solid is given, with indications of applications to particular problems, such as the lattice vibrational spectrum of an imperfect crystal and the electronic levels associated with impurity atoms.
Journal ArticleDOI

The Properties of Defects in Magnetic Insulators

TL;DR: In this article, the authors used a cluster model to describe the excitations near to the defect and compared the predictions of the various theories with the experimental results, showing that the theory is fairly satisfactory for a low concentration of defects and low temperatures.
Journal ArticleDOI

A Green function theory of spin waves in randomly disordered magnetic systems. I. The ferromagnet

TL;DR: In this paper, the authors present a technique for discussing the behaviour of spin waves in a ferromagnetically ordered system where the spins occupy random positions on a lattice, and an approximate evaluation of the averaged Green function gives the renormalization and damping of a spin wave mode due to disorder.
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