# Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation

## TL;DR

This paper develops a higher derivative holographic model with axionic fields and Weyl corrections to study momentum dissipation, revealing metal-insulator transitions and particle-vortex duality in transport properties.

## Contribution

It introduces a novel higher derivative effective holographic theory incorporating Weyl corrections and axionic fields, analyzing momentum dissipation and transport phenomena.

## Key findings

- Observed metal-insulator transitions at zero temperature.
- Derived exact particle-vortex duality for specific dissipation strengths.
- Calculated DC and optical conductivities in the model.

## Abstract

We construct a higher derivative theory involving an axionic field and the Weyl tensor in four dimensional spacetime. Up to the first order of the coupling parameters, the charged black brane solution with momentum dissipation in a perturbative manner is constructed. Metal-insulator transitions are implemented when varying the system parameters at zero temperature. Also, we study the transports including DC conductivity and optical conductivity at zero charge density. We observe the exact particle-vortex duality for some specific momentum dissipation strength.