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

Leticia F Cugliandolo (1) , Laura Foini (2) , Marco Tarzia (3)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681
3 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

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).

Domaines: Physique [physics]

Leticia F Cugliandolo, Laura Foini, Marco Tarzia. Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet. 2020. ⟨cea-02524891⟩