Born-Infeld corrections to holographic transport coefficients with spatially modulated chemical potential

In this work, we have analytically computed the holographic transport coefficients for (2 + 1)-dimensional strongly coupled field theories, placed in a spatially modu-lated chemical potential along the x-direction, in the presence of Born-Infeld electrodynamics. We have obtained these coefficients in terms of the black hole horizon data only. We have observed that the Born-Infeld parameter affects these coefficients in a non-trivial way. We have, then, used these results to further study a holographic model for ultra-clean graphene near Dirac point. This is a two current model with an inhomogeneous holographic lattice.

Automated summary

In this study, we analytically computed the holographic transport coefficients for (2 + 1)-dimensional strongly coupled field theories subjected to a spatially modulated chemical potential along the x-direction, considering the presence of Born-Infeld electrodynamics. The coefficients were obtained solely in terms of the black hole horizon data. It was observed that the Born-Infeld parameter has a non-trivial impact on these coefficients. These results were then used to investigate a holographic model for ultra-clean graphene near the Dirac point, which involved a two current model with an inhomogeneous holographic lattice.