We calculate the transport of a theory with two conserved currents by holographic method and compare it with graphene data to determine its dynamical exponents (z,θ) which characterizes a QCP. As a result, we find that the electric and the thermal conductivity data can be fit much more naturally if we assume (z,θ)=(3/2,1) rather than (1,0). Furthermore, we find that thermoelectric power data at high temperature can be fit if we use (3/2,1) but not at all by (1,0). The θ=1 result can be interpreted as taking into account the fermionic nature of the electrons and z=3/2 can be interpreted as the flattened band by the strong interaction.
@article{arxiv.2007.08143,
title = {Determination of Dynamical exponents of Graphene at quantum critical point by holography},
author = {Geunho Song and Yunseok Seo and Sang-Jin Sin},
journal= {arXiv preprint arXiv:2007.08143},
year = {2021}
}