Henley [Hanley], Walter of (fl. c. 1260), writer on agriculture

Harvey, P. D. A.

doi:10.1093/ref:odnb/12934

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2007

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“…The pyrochlore lattice consists of corner-sharing tetrahedra, and is generally regarded as a typical realization of geometrically frustrated lattices. In particular, the classical Heisenberg antiferromagnet on the pyrochlore lattice is known to exhibit no magnetic long-range order of any kind even at zero temperature, if the interaction is restricted only to nearest neighbours [1][2][3][4]. This is due to the extremely high degeneracy of the ground state induced by severe geometrical frustration.…”

Section: Introductionmentioning

confidence: 99%

Novel ordering of the pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbour interaction

Tsuneishi¹,

Ioki²,

Kawamura³

2007

J. Phys.: Condens. Matter

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The ordering property of the classical pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbor interaction is investigated by means of a Monte Carlo simulation. The model is found to exhibit a first-order transition at a finite temperature into a peculiar ordered state. While the spin structure factor, i.e., the thermal average of the squared Fourier amplitude of the spin, exhibits a finite long-range order characterized by the commensurate spin order of the period four, the thermal average of the spin itself almost vanishes. It means that, although the amplitude of the spin Fourier component is long-range ordered, the associated phase degree of freedom remains to be fluctuating.

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Section: Introductionmentioning

confidence: 99%