# Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates

## TL;DR

This paper investigates how spectral and transport properties evolve with doping in the SU(2) theory of cuprates, linking theoretical predictions to experimental observations of the pseudogap phase and Fermi surface changes.

## Contribution

It derives the renormalized electronic propagator within the SU(2) framework and demonstrates its consistency with spectral and transport experimental data.

## Key findings

- Spectral functions evolve with doping in agreement with experiments
- Transport quantities match observed doping-dependent changes
- The SU(2) theory captures pseudogap phenomena in cuprates

## Abstract

Recent transport experiments in the cuprate superconductors linked the opening of the pseudogap to a change in electronic dispersion [S. Badoux et al., Nature 531, 210 (2015)]. Transport measurements showed that the carrier density sharply changes from $x$ to $1+x$ at the pseudogap critical doping, in accordance with the change from Fermi arcs at low doping to a large hole Fermi surface at high doping. The SU(2) theory of cuprates shows that antiferromagnetic short range interactions cause the arising of both charge and superconducting orders, which are related by an SU(2) symmetry. The fluctuations associated with this symmetry form a pseudogap phase. Here we derive the renormalised electronic propagator under the SU(2) dome, and calculate the spectral functions and transport quantities of the renormalised bands. We show that their evolution with doping matches both spectral and transport measurements.