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

TL;DR

This paper analytically computes holographic transport coefficients for strongly coupled (2+1)-dimensional theories with spatially modulated chemical potential, incorporating Born-Infeld electrodynamics, and applies results to a graphene-like model with inhomogeneous lattice.

Contribution

It provides the first analytical calculation of transport coefficients with Born-Infeld corrections in a spatially modulated holographic setup, linking black hole horizon data to boundary theory properties.

Findings

Born-Infeld parameter non-trivially influences transport coefficients

Transport coefficients depend solely on black hole horizon data

Application to a holographic model of ultra-clean graphene near Dirac point

Abstract

In this work, we have analytically computed the holographic transport coefficients for (2 + 1)- dimensional strongly coupled field theories, placed in a spatially modulated 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.