Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet

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).

13 pages, 4 figures

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• Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings
• Supercooled Jahn-Teller Ice
• Solution of Disordered Microphases in the Bethe approximation
• Replica theory for disorder-free spin-lattice glass transition on a tree-like simplex network
• Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition