Abstract
We study the Einstein-axions AdS black hole from Born–Infeld electrodynamics. Various DC transport coefficients of the dual boundary theory are analytically computed. The DC electric conductivity depends on the temperature, which is a novel property comparing to that in RN-AdS black hole. The effects of Born-Infeld parameter on the transport coefficients are analyzed. Also, we study the AC electric conductivity from Born–Infeld electrodynamics with momentum dissipation. For weak momentum dissipation, the low frequency behavior satisfies the standard Drude formula and the electric transport is coherent for various correction parameter. While for stronger momentum dissipation, the modified Drude formula is applied and we observe a crossover from coherent to incoherent phase. Moreover, the Born–Infeld correction amplifies the incoherent behavior. Finally, we study the non-linear conductivity in probe limit and compare our results with those observed in (i)DBI model.
Highlights
The gauge-gravity duality [1,2,3] provides a new avenue to study strongly coupled systems, which is difficult to process in the traditional perturbation theory
We introduced the Maxwell field with Born– Infeld correction into the Einstein-axions theory and studied a new charged Born–Infeld Anti de-Sitter (BI-AdS) black hole
We found that the DC electric conductivity depends on the temperature of the boundary theory, which is a novel property comparing to that in RN-AdS black hole
Summary
The gauge-gravity duality [1,2,3] provides a new avenue to study strongly coupled systems, which is difficult to process in the traditional perturbation theory. The momentum dissipation in the dual boundary field theory is implemented by breaking the diffeomorphism invariance in the bulk [4] It inspired remarkable progress in holographic studies with momentum relaxation in massive gravity [5,6,7,8,9,10,11,12,13,14,15,16,17,18]. Another mechanism is to introduce a spatial-dependent source, which breaks the Ward identity and the momentum is not conserved in the dual boundary theory. We analyze the non-linear current-voltage behavior with BI correction in probe limit
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