Transport implications of Fermi arcs in the pseudogap phase of the cuprates

TL;DR

This paper investigates how Fermi arcs influence electrical and thermal transport in the pseudogap phase of cuprates, revealing metallic in-plane conductivities and insulating c-axis behavior through a theoretical framework.

Contribution

It introduces a phenomenological Green's function approach to derive transport properties, linking Fermi arc features to observed pseudogap phase behaviors.

Findings

In-plane conductivities are metallic-like with universal limit behavior.

c-axis resistivity and Hall number diverge, indicating insulating-like behavior.

Results connect theoretical Fermi arc models to experimental transport data.

Abstract

We derive the fermionic contribution to the longitudinal and Hall conductivities within a Kubo formalism, using a phenomenological Greens function which has been previously developed to describe photoemission data in the pseudogap phase of the cuprates. We find that the in-plane electrical and thermal conductivities are metallic-like, showing a universal limit behavior characteristic of a d-wave spectrum as the scattering rate goes to zero. In contrast, the c-axis resistivity and the Hall number are insulating-like, being divergent in the same limit. The relation of these results to transport data in the pseudogap phase is discussed.