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.

arXiv comment4.5 pages, 6 figures

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Cited by in corpus (6)

• Field induced multiple order-by-disorder state selection in antiferromagnetic honeycomb bilayer lattice
• Structural, magnetic and electronic properties of CaBaCo4-xMxO7 (M= Fe, Zn)
• Neutron diffraction study and theoretical analysis of the antiferromagnetic order and diffuse scattering in the layered Kagome system CaBaCo${}_2$Fe${}_2$O${}_7$
• The antiferromagnetic Ising model on the swedenborgite lattice
• Structural, magnetic and electric polarization properties of geometrically frustrated YBaCo4O7 and DyBaCo4O7 cobaltites
• Emergence of a 2d macro-spin liquid in a highly frustrated 3d quantum magnet