Review paper: Solid 3He: A magnet in search of a Hamiltonian

Guyer, R. A.

doi:10.1007/bf00115515

Cited by 73 publications

(7 citation statements)

References 43 publications

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“…In our experiment H/T varies from 0.03 to 0.28 T/mK and Prewitt and Goodkind have shown that the susceptibility is field independent for H/T from 0.003 to 0.40 T/mK. The solution to this dilemma must be in the interpretation of the experiments, perhaps in the functional form used to represent the volume dependence of 0 or, as noted by Guyer,22 in the sensitivity of the Weiss temperatures deduced from susceptibility data to higher-order terms of the Hamiltonian.…”

Section: (T/h) 2 [P(tvh)-p(tv0)]mentioning

confidence: 71%

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Contribution of Nuclear Magnetism to the Isochoric Pressure of bcc SolidHe3

et al. 1982

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Section: (T/h) 2 [P(tvh)-p(tv0)]mentioning

confidence: 71%

“…2 which allows for higher-order magnetic terms and lattice terms yields the value -(2.91 ±0.04)(7/24) 20 ' 7±2 -°. This is the discrepancy noted by Guyer 22 and is evident even if only data above 100 mK are considered. The corresponding 9 is shown as the dashed band in Fig.…”

Section: (T/h) 2 [P(tvh)-p(tv0)]mentioning

confidence: 77%

Contribution of Nuclear Magnetism to the Isochoric Pressure of bcc SolidHe3

et al. 1982

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“…(2.6), however, and no complete agreement can be expected unless we go outside the framework of a spin Hamiltonian [see the discussion below Eq. (2.2); see also Guyer, 1978]. Private communication with Adams indicated a possible error might be an undetermined additive constant in P, which could differ from one field to another.…”

Section: Pressure Versus Field Measurementsmentioning

confidence: 94%

“…The review by Guyer (1978) gives an idea of the theoretical situation at that time. The paper of McMahan and Wilkins (1975) was an attempt to calculate the magnitude of four-spin exchanges, perhaps in the older tradition.…”

Section: B Post-1975 Theoriesmentioning

confidence: 99%

Magnetism in solidHe3

1983

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The theory of magnetism in solid He is reviewed with emphasis on the multiple-spin-exchange theory of the magnetic interaction. Critical experiments are discussed briefly, and the most reliable present values for various quantitites are chosen. Various theories of He magnetism are considered, with the conclusion that multiple particle exchange is the most likely mechanism. The microscopic theory of exchange is presented mainly from the standpoint of tunneling ducts. The spin Hamiltonian which results from two-, three-, and four-particle ring exchange is derived and studied in the high-temperature limit, in mean-field approximation, and with spin waves. Two reasonable parameter sets are selected which fit the experimental data, with the conclusion that the exchanges are mainly threeand four-particle rings. A discussion is given of remaining problems together with some conjectures. CONTENTS D. Properties of the high-field naf phase 1. Free energy and magnetization as a function of the field H 2. Phase diagram a. Second-order transition line between the naf phase and the paramagnetic phase b. The transition "pseudoferromagnetic"~naf VIII. A Two-Parameter Model A. One-parameter models 1. Triple exchange 2. Folded four-spin exchange A+ 3. Planar four-spin exchange K& a. Low-field phase b. High-temperature series expansions B. Two-parameter model (J"lr I )

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“…(2,3,4) The atom-atom exchange process is potentially so complex (two, three and even four particle exchange must be considered) and so sensitive to the molar volume that it seems likely that at densities well above those used in current experiments still further ordered structures might be found. (1) The two known spin-ordered phases of solid 3He are themselves unusual although not unique, and the mechanism leading to nuclear order is the direct exchange of atoms between nearby lattice sites.…”

Section: Bell Laboratories Mu"ay Hill New Jersey 07974mentioning

confidence: 99%

Nuclear magnetic ordering in solid 3He (invited)

Osheroff¹

1982

Journal of Applied Physics

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Solid 3He is the most quantum mechanical of the inert gas solids. In the bcc solid close to the melting pressure, 3He atoms exchange lattice sites with their neighbors millions of times each second, thereby reducing their zero point energy. This atom-atom exchange leads to a spin exchange energy in the solid which is nearly ten thousand times larger than the dipole-dipole energy between neighboring 3He atoms, and as a result, nuclear antiferromagnetism in solid 3He occurs at the unusually high temperature of about 0.001 K. This temperature can be produced directly with modern refrigeration techniques, and recent experimental studies have given us our first detailed picture of the resulting antiferromagnetic states. In magnetic fields below 4 kOe a highly anisotropic sublattice structure with a [100] symmetry is found. Above 4 kOe, a very different structure is observed with apparent cubic symmetry and a nearly field-independent magnetization, which is about 60% of the saturation magnetization. Although the exchange Hamiltonian for this system cannot be determined from first principles, modern multiple exchange theories appear capable of predicting many of the observed features.

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Review paper: Solid 3He: A magnet in search of a Hamiltonian

Cited by 73 publications

References 43 publications

Contribution of Nuclear Magnetism to the Isochoric Pressure of bcc SolidHe3

Contribution of Nuclear Magnetism to the Isochoric Pressure of bcc SolidHe3

Magnetism in solidHe3

Nuclear magnetic ordering in solid 3He (invited)

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