Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography

TL;DR

This paper uses holography to analyze strong correlation effects in Dirac materials with small Fermi surfaces, predicting transport behaviors like heat transport and Nernst effect near charge neutrality.

Contribution

It provides a holographic framework to study strong correlations in Dirac materials, offering predictions for transport properties beyond existing experimental data.

Findings

Magneto-conductivity fits experimental data well

Predictions for heat transport, thermoelectric power, and Nernst coefficients

Guidance for future experimental investigations

Abstract

Recent discovery of transport anomaly in graphene demonstrated that a system known to be weakly interacting may become strongly correlated if system parameter(s) can be tuned such that fermi surface is sufficiently small. We study the strong correlation effects in the transport coefficients of Dirac materials doped with magnetic impurity under the magnetic field using holographic method. The experimental data of magneto-conductivity are well fit by our theory, however, not much data are available for other transports of Dirac material in such regime. Therefore, our results on heat transport,thermo-electric power and Nernst coefficients are left as predictions of holographic theory for generic Dirac materials in the vicinity of charge neutral point with possible surface gap. We give detailed look over each magneto-transport observable and 3Dplots to guide future experiments.