Magnetotransport and Complexity of Holographic Metal-Insulator Transitions

Understand

We study the magnetotransport in a minimal holographic setup of a metal-insulator transition in two spatial dimensions.

• Some generic features are obtained without referring to the non-linear details of the holographic theory.
• The temperature dependence of resistivity is found to be well scaled with a single parameter $T_0$, which approaches zero at some critical charge density $\rho_c$, and increases as a power law $T_0\sim|\rho-\rho_c|^{1/2}$ both in metallic $(\rho>\rho_c)$ and insulating $(\rho<\rho_c)$ regions in the vicinity of the transition.
• Similar features also happen by changing the disorder strength as well as magnetic field.