Journal ArticleDOI
On the Curie points and high temperature susceptibilities of Heisenberg model ferromagnetics
G. S. Rushbrooke,P.J. Wood +1 more
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The first six coefficients in the expansion of the susceptibility χ, and its inverse, χ −1, in ascending powers of the reciprocal temperature, have been determined for the Heisenberg model of a ferromagnetic, for any spin value, S, and any lattice as discussed by the authors.Abstract:
The first six coefficients in the expansion of the susceptibility χ, and its inverse, χ −1, in ascending powers of the reciprocal temperature, have been determined for the Heisenberg model of a ferromagnetic, for any spin value, S, and any lattice. The first five coefficients appropriate to the magnetic specific heat, C, have also been found. For the body-centred and face-centred cubic lattices, the χ and C coefficients are tabulated for half-integral S from 1/2 to 3. From these coefficients estimates have been made of the reduced Curie temperatures, θs c= k T c/J. It is found that for the simple, body-centred and face-centred cubic lattices the formula reproduces the estimated Curie temperatures fairly accurately. Here X=S(S+1) and z is the lattice coordination-number. It is found that, suitably scaled, the theoretical curves for inverse susceptibility against temperature above the Curie point are rather insensitive to the spin value and to the precise lattice structure. The ratio of their initial to the...read more
Citations
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The theory of equilibrium critical phenomena
TL;DR: The theory of critical phenomena in systems at equilibrium is reviewed at an introductory level with special emphasis on the values of the critical point exponents α, β, γ,..., and their interrelations as mentioned in this paper.
Journal ArticleDOI
Experiments on simple magnetic model systems
L.J. de Jongh,A.R. Miedema +1 more
TL;DR: In this article, a review of the theoretical and experimental results obtained on simple magnetic model systems on magnetic lattices of dimensionality 1, 2, and 3 is presented, with particular attention paid to the approximation of these model systems in real crystals, viz how they can be realized or be expected to exist in nature.
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Magnetic Pyrochlore Oxides
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Structure and magnetism of coordination polymers containing dicyanamide and tricyanomethanide
TL;DR: In this paper, a review of the physical measurements made on the α-M(dca)2 series is given, together with interpretations for the different net exchange coupling and consequent 3D order.
References
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Journal ArticleDOI
On the Susceptibility of a Ferromagnetic above the Curie Point
Cyril Domb,M. F. Sykes +1 more
TL;DR: In this article, series expansions for the susceptibility of a ferromagnetic at high temperatures are examined in detail to estimate the curvature of the reciprocal of the susceptibility immediately above the Curie point.
Journal ArticleDOI
Constant coupling approximation for Heisenberg ferromagnetism
TL;DR: In this paper, a general expression for the partition function of a Heisenberg ferromagnetic spin system with isotropic coupling between nearest neighbouring spins was derived in terms of a pair density matrix of the pair of nearest neighbours.
Journal ArticleDOI
The band structure of the transition metals
N. F. Mott,K. W. H. Stevens +1 more
TL;DR: In this article, a discussion is given, based on the available results of experiment and calculation, of the band structures of certain transition metals and their relationship to their electrical and magnetic properties.
Journal ArticleDOI
Ferromagnetic and Antiferromagnetic Curie Temperatures
H. A. Brown,J. M. Luttinger +1 more
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On the exchange interaction in magnetic crystals
TL;DR: In this article, a simple method, due to Kramers, of approximate evaluation of the partition function (Zustandssumme) in the case when kT > ¦ J ¦ (J = the exchange integral), but μH/kT arbitrary, is explained and applied to discuss some questions related to ferromagnetism (J > 0) and to the adiabatic demagnetization experiments at low temperatures.
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