Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet

Details Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet

1997-12-05

arxiv.org/abs/cond-mat/9712063v1

Phys. Rev. Lett. 80, 2929 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex; 3 figures automatically included

Scientific paper

10.1103/PhysRevLett.80.2929

We study the low-temperature behaviour of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. Because of geometrical frustration, the ground state of this model has an extensive number of degrees of freedom. We show, by analysing the effects of small fluctuations around the ground-state manifold, and from the results of Monte Carlo and molecular dynamics simulations, that the system is disordered at all temperatures, T, and has a finite relaxation time, which varies as 1/T for small T.

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