Detection of Antiferromagnetism by Neutron Diffraction

Shull, C. G.; Smart, J. S.

doi:10.1103/physrev.76.1256.2

Cited by 339 publications

(129 citation statements)

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“…La première étude de structure magnétique a été faite pas Shuil et Smart en 1949 [9] sur MnO. Les spectres de diffraction sur poudre sont représentés sur la figure 21.…”

Section: 2 Structures Magnétiquesunclassified

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Neutrons et matériaux : introduction

Schweizer

2003

J. Phys. IV France

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“…La première étude de structure magnétique a été faite pas Shuil et Smart en 1949 [9] sur MnO. Les spectres de diffraction sur poudre sont représentés sur la figure 21.…”

Section: 2 Structures Magnétiquesunclassified

“…Compte tenu de la formule (1) qui relie la longueur d'onde et la vitesse, on arrive à : h2 2mA7 E = il (4) , [1][2][3][4][5][6][7][8][9][10][11][12] ou, à la formule équivalente, avec des unités bien spécifiées :…”

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Neutrons et matériaux : introduction

Schweizer

2003

J. Phys. IV France

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“…Recent experiments (1) give evidence that the ordering of the spin magnetic moments of an antiferromagnetic crystal below the Curie temperature is, qualitatively at least, like that predicted by the Ising theory. A more detailed analysis of the experimental results may be warranted because of differences between predictions of semiclassical theory and the quantum theory which we shall now discuss.…”

Section: _ I the Quantum Theory Of Antiferromagnetism I Introductionmentioning

confidence: 97%

“…These involve the calculation of the probabilities I A , I, IIA, II, and IIIi. We can compute these by means of a method which is very similar to that used by Wheland (19) in computing the value of k.. 1 Therefore, we will first repeat verbatim Wheland's computation of the ki's.…”

Section: Approximate Solution Of Infinite Linear Chain By Valencementioning

confidence: 99%

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On the quantum theory of antiferromagnetism

Kramers

1952

Physica

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Recent neutron diffraction experiments on antiferromagnetic crystals at low temperatures indicate the existence of a long range correlation in direction of the spin magnetic moments. Although the Ising model predicts such a correlation, a consideration of the uncertainty relationships for spin shows that in the correct quantum description of an antiferromagnet, the ordering cannot be the simple type given by this semiclassical model. The problem of determining the lowest quantum state of an antiferromagnet is much the same as the quantum chemical problem of determining the state of a large molecule. The short range correlation of spin moments is measured by a quantity called the "bond order" in molecular problems. This assumes its maximum in the lowest eigenstate.In an attempt to make progress in solving the general quantum mechanical problem, a new method of approximation has been developed and applied to the linear antiferromagnetic chain. The spin eigenfunction is expanded in terms of a set of "valence bond spin functions", grouped according to "degree of excitation". The amplitudes for each excitation are determined by the solution of an infinite set of linear difference equations.

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