Doping dependence of the Neel temperature in Mott-Hubbard antiferromagnets: Effect of vortices

TL;DR

This paper models how doping affects the Neel temperature in Mott-Hubbard antiferromagnets using a vortex-based RG approach, aligning well with experimental data on high-Tc cuprates and predicting a critical doping level.

Contribution

It introduces a vortex-based RG framework to explain the doping dependence of the Neel temperature in antiferromagnetic insulators, providing quantitative agreement with experiments.

Findings

Neel temperature decreases with doping in agreement with experiments.

Critical doping level for loss of long-range order is approximately 0.02.

Vortices play a key role in the destruction of antiferromagnetic order.

Abstract

The rapid destruction of long-range antiferromagnetic order upon doping of Mott-Hubbard antiferromagnetic insulators is studied within a generalized Berezinskii-Kosterlitz-Thouless renormalization group theory in accordance with recent calculations suggesting that holes dress with vortices. We calculate the doping-dependent Neel temperature in good agreement with experiments for high-Tc cuprates. Interestingly, the critical doping where long-range order vanishes at zero temperature is predicted to be xc ~ 0.02, independently of any energy scales of the system.