Hairy topological Black holes of dimensionally continued gravity coupled to double-Logarithmic electrodynamics

A recently proposed model for double-Logarithmic electrodynamics has been minimally coupled to dimensionally continued gravity and magnetized topological black holes in the presence of conformal scalar field are studied. In this set up, the hairy topological black hole solution has been derived with magnetic monopole charge and the associated thermodynamic quantities such as Hawking temperature and heat capacity are calculated. The modified Smarr's formula is constructed and it is shown that first law of thermodynamics can be verified for these black holes. In addition to this, thermodynamic stability and thermal phase transitions for these black holes are investigated. Finally, hairy magnetized black holes in general Lovelock-scalar gravity with double-Logarithmic electromagnetic source are also briefly studied.