Quantum order by disorder in a semiclassical spin ice

Abstract

We study the S>1 nearest-neighbor Heisenberg model with a ferromagnetic interaction J and a large non-collinear <111> easy-axis anisotropy D on a pyrochlore lattice. For a finite D>>|J|, the low-energy physics is described by a < 111 > Ising model with second- and third-neighbor exchange interactions. The extensive degeneracy of the ground state manifold in the infinite anisotropic limit is lifted by the transverse quantum fluctuations, and a q=0 ordered state is selected via the quantum order by disorder machanism, through a first-order phase transition at low temperature.

4 pages, 5 figures

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Cited by in corpus (3)

• Realization of the kagome spin ice state in a frustrated intermetallic compound
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets