Classical heisenberg antiferromagnet away from the pyrochlore lattice limit: entropic versus energetic selection

Details Classical heisenberg antiferromagnet away from the pyrochlore lattice limit: entropic versus energetic selection Classical heisenberg antiferromagnet away from the pyrochlore lattice limit: entropic versus energetic selection

2002-02-12

arxiv.org/abs/cond-mat/0202196v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 (two-column revtex4) pages, 1 table, 7 ps/eps figures. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.66.024422

The stability of the disordered ground state of the classical Heisenberg pyrochlore antiferromagnet is studied within extensive Monte Carlo simulations by introducing an additional exchange interaction $J'$ that interpolates between the pyrochlore lattice ($J'=0$) and the face-centered cubic lattice ($J'=J$). It is found that for $J'/J$ as low as $J'/J\ge 0.01$, the system is long range ordered : the disordered ground state of the pyrochlore antiferromagnet is unstable when introducing very small deviations from the pure $J'=0$ limit. Furthermore, it is found that the selected phase is a collinear state energetically greater than the incommensurate phase suggested by a mean field analysis. To our knowledge this is the first example where entropic selection prevails over the energetic one.

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