Metallic mean-field stripes, incommensurability and chemical potential in cuprates

TL;DR

This study uses a slave-boson mean-field approach to analyze the three-band model of cuprates, revealing new insights into stripe density, dimensional crossover, and particle-hole symmetry breaking with doping.

Contribution

It provides a systematic mean-field analysis showing low doping stripes have a density near 1/2, and identifies a dimensional crossover and symmetry breaking phenomena.

Findings

Low doping stripes have a density close to 1/2 added hole per lattice constant.

A dimensional crossover from 1D to 2D occurs around doping 0.1.

Particle-hole symmetry breaks around doping 1/8.

Abstract

We perform a systematic slave-boson mean-field analysis of the three-band model for cuprates with first-principle parameters. Contrary to widespread believe based on earlier mean-field computations low doping stripes have a linear density close to 1/2 added hole per lattice constant. We find a dimensional crossover from 1D to 2D at doping $\sim 0.1$ followed by a breaking of particle-hole symmetry around doping 1/8 as doping increases. Our results explain in a simple way the behavior of the chemical potential, the magnetic incommensurability, and transport experiments as a function of doping. Bond centered and site-centered stripes become degenerate for small overdoping.