Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions

Abstract

It is shown that the mechanism of order out of disorder is at work in the antisymmetric pyrochlore antiferromagnet. Quantum as well as thermal fluctuations break the continuous degeneracy of the classical ground state manifold and reduce its symmetry to ${\mathbb{Z}}_3\times {\mathbb{Z}}_2$. The role of anisotropic symmetric exchange is also investigated and we conclude that this discrete like ordering is robust with respect to these second order like interactions. The antisymmetric pyrochlore antiferromagnet is therefore expected to order at low temperatures, whatever the symmetry type of its interactions, in both the classical and semi classical limits.

6 pages. 9 figures

References in corpus (4)

• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Magnetic ordering in Gd2Sn2O7: the archetypal Heisenberg pyrochlore antiferromagnet
• Orbital order in classical models of transition-metal compounds
• Structural phase transitions in geometrically frustrated antiferromagnets