Curie-law crossover in spin liquids

Abstract

The Curie-Weiss law is widely used to estimate the strength of frustration in frustrated magnets. However, the Curie-Weiss law was originally derived as an estimate of magnetic correlations close to a mean-field phase transition, which -- by definition -- is absent in spin liquids. Instead, the susceptibility of spin liquids is known to undergo a Curie-law crossover between two magnetically disordered regimes. Here, we study the generic aspect of the Curie-law crossover by comparing a variety of frustrated spin models in two and three dimensions, using both classical Monte Carlo simulations and analytical Husimi tree calculations. Husimi tree calculations fit remarkably well the simulations for all temperatures and almost all lattices. We also propose a Husimi Ansatz for the reduced susceptibility $\chi T$, to be used in complement to the traditional Curie-Weiss fit in order to estimate the Curie-Weiss temperature ${\theta }_{\mathrm{cw}}$. Applications to materials are discussed.

arXiv comment26 pages, 14 figures

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• Gapped magnetic ground state in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Ag${}_2$(CN)${}_3$ suggested by magnetic spectroscopy
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice
• Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study