Holographic non-Fermi liquids at large $d$

Abstract

Motivated by the results of Dynamical Mean Field Theory, we study the two-point function of fermions moving in a charged black brane background in $AdS_{d+1}$ in the limit of large $d$. We observe the emergence of a locally critical form of the fermion self-energy, with a strongly constrained range of possible scaling behaviors at large $d$. Novelties compared to the analysis in $d=3,4$ include an enlarged regime of temperatures where the results apply, and the analytical tractability of the calculations.