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Magnetism in solid He3

M. Roger*, J. H. Hetherington, and J. M. Delrieu

M. Roger*

  • Institut Laue-Langevin, Ave des Martyrs, 38042 Grenoble Cedex, France

J. H. Hetherington

  • Physics Department, Michigan State University, East Lansing, Michigan 48824

J. M. Delrieu

  • S.P.S.R.M., Cea-Cen Saclay, 91191 Gif-sur-Yvette, France

  • *On leave from CEA-CEN SACLAY-91191 Gif-sur-Yvette, France.
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Rev. Mod. Phys. 55, 1 – Published 1 January, 1983

DOI: https://doi.org/10.1103/RevModPhys.55.1

Abstract

The theory of magnetism in solid He3 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 quantities are chosen. Various theories of He3 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 three- and four-particle rings. A discussion is given of remaining problems together with some conjectures.

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Rev. Mod. Phys. 55, 1– Published 1 January, 1983

    © 1983 American Physical Society

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