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Exchange and magnetic order in HCP3He and adsorbed3He with triangular lattice

✍ Scribed by J. M. Delrieu; M. Roger; J. H. Hetherington

Publisher
Springer US
Year
1980
Tongue
English
Weight
815 KB
Volume
40
Category
Article
ISSN
0022-2291

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✦ Synopsis

A Schr6dinger equation is derived which allows an improvement in the wave function of a quantum crystal inside the tunneling duct for exchange. This equation is used to derive a simple estimate of the exchange rate accurate enough to be used to compare various exchange mechanisms (two-body, three-body cyclic, etc.). We find that the 3He bulk hcp crystal and 3He surface triangular crystals have their exchange dominated by three-body cyclic exchange. Therefore the dominant part of the spin Hamiltonian will be Heisenberg nearest neighbor ferromagnetic. This result explains the ferromagnetic tendency observed in adsorbed 3He films. A ferromagnetic transition in hcp 3He at the lowest pressures is predicted at 0.054-0.01 mK, corresponding to a Curie-Weiss constant of 0.0754-0.015 inK.

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