Reminiscence of a magnetization plateau in a magnetization processes of toy-model triangular and tetrahedral clusters

Abstract

We discuss magnetization curves of a toy-model trigonal and tetrahedral clusters. Nonlinearity of magnetization with local minimum of differential susceptibility resembling known magnetization plateaus of triangular-lattice and pyrochlore lattice antiferromagnets is observed at intermediate temperature range $J\lesssim T\lesssim \Theta$ (here $J$ is the exchange coupling constant and $\Theta$ is a Curie-Weiss temperature). This behavior is due to increased statistical weight of the states with intermediate total spin of the cluster, which is related to the `order-by-disorder' mechanism of plateau stabilization of a macroscopic frustrated magnet.

10 pages, 8 figures

References in corpus (7)

• Enhanced magnetocaloric effect in frustrated magnets
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Magnetocaloric effect in pyrochlore antiferromagnet Gd2Ti2O7
• Magnetic phase diagram, critical behaviour and 2D-3D crossover in a triangular lattice antiferromagnet RbFe(MoO4)2
• Monte Carlo study of half-magnetization plateau and magnetic phase diagram in pyrochlore antiferromagnetic Heisenberg model
• Order by quenched disorder in the model triangular antiferromagnet RbFe(MoO4)2
• Magnetization plateaus in the spin-1/2 antiferromagnetic Heisenberg model on a kagome-strip chain