Thermo-electric transport in gauge/gravity models with momentum dissipation

TL;DR

This paper develops a gauge/gravity framework to analyze thermo-electric transport in systems with momentum dissipation, providing insights into quantum-critical to Fermi-liquid crossover phenomena relevant to materials like graphene.

Contribution

It offers a systematic approach to thermo-electric response in gauge/gravity models with momentum dissipation, emphasizing the importance of finite counter-terms for physical consistency.

Findings

Hydrodynamic and beyond-hydrodynamics behaviors align with field theory expectations.

The model describes the crossover from quantum-critical to disorder-dominated Fermi-liquid regimes.

Finite counter-terms are crucial for a consistent physical interpretation.

Abstract

We present a systematic definition and analysis of the thermo-electric linear response in gauge/gravity systems focusing especially on models with massive gravity in the bulk and therefore momentum dissipation in the dual field theory. A precise treatment of finite counter-terms proves to be essential to yield a consistent physical picture whose hydrodynamic and beyond-hydrodynamics behaviors noticeably match with field theoretical expectations. The model furnishes a possible gauge/gravity description of the crossover from the quantum-critical to the disorder-dominated Fermi-liquid behaviors, as expected in graphene.