Lovelock order transport [38], entanglement entropy [39{42] and

Lovelock gravity is one of the well established/known generalizations of the Einstein gravity 1, 2. The rst three
terms of this generalizations include three degrees of curvature term including: I) a constant realized as cosmological
constant, II) a rst order curvature term known as Einstein Lagrangian, III) and nally a curvature-squared term
called Gauss-Bonnet (GB) Lagrangian. The Gauss-Bonnet term is a topological term in 4 and lower dimensions. Its
structure is in a way that results into up to second order derivations of metric functions in eld equations 3{6. It
is a higher derivative gravity enjoying the absence of ghost instability 7, 8. Its Lagrangian could be obtained in the
low-energy limit of heterotic string theory 9{13. Black holes and their properties in the presence of GB gravity have
been intensively investigated in literature 14? {31. In addition, the black string solutions with GB generalization
and their stabilities have been studied in Refs. 32{36. In holographical context, the e
ects of the GB gravity on
nite coupling 37, second order transport 38, entanglement entropy 39{42 and superconductivity 43{45 have
been addressed. Considering the diverse applications of the GB gravity in classical black holes thermodynamics,
holography and string theory, we investigate a speci c type of GB black holes in the presence of dyonic charge.
The dyonic charge corresponds to existence of the magnetic charge (in addition to electric charge) in the structure of
black holes. The dyonic black hole solutions have been vastly used as popular models for investigations in the context
of AdS/CFT duality. One of the early applications of the dyonic black holes was studying the Hall conductivity and
zero momentum hydrodynamic response functions in the context of AdS/CFT 46. In addition, it was con rmed that
large dyonic black holes in AdS spacetime correspond to stationary solutions of the equations of relativistic magnetohydrodynamics
on the conformal boundary of AdS 47. Of other applications/investigations of/on the dyonic black
holes in AdS/CFT context, one can name the following ones: I) Inducing external magnetic eld on superconductors
which results into magnetic dependency similar to the Meissner e
ect 48, II) Their e
ects on the holographical
properties of solutions such as transport coecients, Hall conductance and DC longitudinal conductivity 49. III)
The paramagnetism/ferromagnetism phase transitions in case of dyonic Reissner-Nordstrom black holes 50{52 and
massive dyonic black holes 53.