Reentrance of disorder in the anisotropic shuriken Ising model

Abstract

For a material to order upon cooling is common sense. What is more seldom is for disorder to reappear at lower temperature, which is known as reentrant behavior. Such resurgence of disorder has been observed in a variety of systems, ranging from Rochelle salts to nematic phases in liquid crystals. Frustration is often a key ingredient for reentrance mechanisms. Here we shall study a frustrated model, namely the anisotropic shuriken lattice, which offers a natural setting to explore an extension of the notion of reentrance between magnetic disordered phases. By tuning the anisotropy of the lattice, we open a window in the phase diagram where magnetic disorder prevails down to zero temperature. In this region, the competition between multiple disordered ground states gives rise to a double crossover where both the low- and high-temperature regimes are less correlated than the intervening classical spin liquid. This reentrance of disorder is characterized by an entropy plateau, a multi-step Curie law crossover and a rather complex diffuse scattering in the static structure factor. Those results are confirmed by complementary numerical and analytical methods: Monte Carlo simulations, Husimi-tree calculations and an exact decoration-iteration transformation.

16 pages, 13 figures

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• Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
• Spin liquid and infinitesimal-disorder-driven cluster spin glass in the kagome lattice
• Static and resonant properties of decorated square kagome lattice compound KCu${}_7$(TeO${}_4$)(SO${}_4$)${}_5$Cl
• Geometrical Frustration and Cluster Spin Glass with Random Graphs
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Frustrations on decorated triangular lattice in Ising model