Monte Carlo simulations of a disorder-free pyrochlore model show that Heisenberg spins and Jahn-Teller orbital distortions freeze simultaneously at Tc≈0.07J, with divergent nonlinear magnetic and dielectric susceptibilities.
Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
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abstract
We derive the equilibrium phase diagram of the classical dipolar Ising antiferromagnet at the mean-field level on a geometry that mimics the two dimensional Kagome lattice. Our mean-field treatment is based on the combination of the cluster variational Bethe-Peierls formalism and the cavity method, developed in the context of the glass transition, and is complementary to the Monte Carlo simulations realized in [Phys. Rev. B 98, 144439 (2018)]. Our results confirm the nature of the low temperature crystalline phase which is reached through a weakly first-order phase transition. Moreover, they allow us to interpret the dynamical slowing down observed in the work of Hamp & al. as a remnant of a spin glass transition taking place at the mean-field level (and expected to be avoided in 2 dimensions).
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cond-mat.dis-nn 1years
2019 1verdicts
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Spin-orbital glass transition in a model of a frustrated pyrochlore magnet without quenched disorder
Monte Carlo simulations of a disorder-free pyrochlore model show that Heisenberg spins and Jahn-Teller orbital distortions freeze simultaneously at Tc≈0.07J, with divergent nonlinear magnetic and dielectric susceptibilities.