Spin-liquid phase and order-by-disorder of classical Heisenberg spins on the swedenborgite lattice

Abstract

Frustration refers to the inability to satisfy competing interactions simultaneously, often leading to a large number of degenerate ground states. This can suppress ordering tendencies, sometimes resulting in a spin liquid phase. An intrinsic effect lifting this degeneracy is entropic order-by-disorder. We present strong evidence that a classical nearest neighbor Heisenberg model on the swedenborgite lattice exhibits both an extended spin-liquid phase as well as entropic order-by-disorder choosing planar configurations after a first order transition. We argue that this observation renders magnetic insulators such as ${\mathrm{RBaCo}}_4{\mathrm{O}}_7$, where R denotes a rare earth atom, prime candidates for displaying spin liquid behavior and entropic order-by-disorder physics due to their large exchange constant.

4.5 pages, 6 figures

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Cited by in corpus (2)

• Structural, magnetic and electronic properties of CaBaCo4-xMxO7 (M= Fe, Zn)
• The antiferromagnetic Ising model on the swedenborgite lattice