Holographic conductivity in the massive gravity with power-law Maxwell field

摘要: Abstract We obtain a new class of topological black hole solutions in ( n + 1 ) -dimensional massive gravity the presence power-Maxwell electrodynamics. calculate conserved and thermodynamic quantities system show that first law thermodynamics is satisfied on horizon. Then, we investigate holographic conductivity for four five dimensional brane solutions. For completeness, study both massless m = 0 ≠ gravities with field. The enjoys translational symmetry whereas violates it. gravity, observe real part conductivity, Re [ σ ] , decreases as charge q increases when frequency ω tends to zero, while imaginary Im diverges → . find zero at becomes larger (temperature decreases), which contrast gravity. It also has maximum value increasing (with fixed p) or p q) 2 )-dimensional dual system, where power parameter power-law Maxwell Interestingly, case, (known Drude peak) / 4 (conformally invariant electrodynamics) this q. In case different values p, parts relative extremum Finally, high frequencies, have behavior terms frequency, ∝ − Some similar behaviors frequencies possible CFT systems been reported experimental observations.