CONICET | Buscador de Institutos y Recursos Humanos

In the last ten years, theKitaev-Heisenberg model has attracted much attention since the work by G. Jackeli and G. Khaliullin, where they showed that Kitaevinteractions are relevant in iridate materials. Experimental results in honeycomb iridates are not consistent with a pure Kitaev model, and exchange couplings may play an important role in the low temperature behavior of these materials. In this work, we present a study of the classical Kitaev-Heisenberg model in the pyrochlore and kagome lattices in the highly frustrated regime. Previous works have studied this model with the Luttinger-Tisza approximation,indicating frustrated phases and highly degenerate points. Here, we focus on the highly degenerate points. We explore their magnetic properties at low temperature by means of Monte-Carlo Simulations. We compare the specific heat and the structure factors with their dual counterpart, the antiferromagnetic pure Heisenberg model. This allows us to identify order-by-disorder state selection in the kagome lattice, and spin liquid behavior in the pyrochlore case.