Analytic topological hairy dyonic black holes and thermodynamics

We present and discuss a new family of topological hairy dyonic black hole solutions in asymptotically anti--de Sitter space. The coupled Einstein-Maxwell-scalar gravity system, that carries both the electric magnetic charges is solved, exact are obtained analytically. scalar field profiles give rise to such regular everywhere. for planar, spherical, hyperbolic horizon topologies. In addition, analytic expressions regularized action, stress tensor, conserved charges, free energies obtained. further comment on different prescriptions computing mass with backgrounds. analyze thermodynamics these holes canonical grand ensembles, we find have constructive effect stability solution. For case planar horizons, thermodynamically stable favored at low temperatures compared nonhairy counterparts. that, spherical hole, thermodynamic phase diagram resembles Van der Waals fluid not only but also ensemble.