Dynamics of Holes and Universality Class of the Antiferromagnetic Transition in the Two Dimensional Hubbard Model

TL;DR

This paper investigates the dynamics of a single hole in the 2D Hubbard model, revealing a Slater-type transition with a mean field gap and explaining quasiparticle dispersion, supported by experimental data.

Contribution

It introduces a configuration interaction approach to analyze hole dynamics, demonstrating a Slater transition in the 2D Hubbard model, aligning with experimental observations.

Findings

Agreement with experimental photoemission data

Evidence for a mean field gap in a Fermi liquid of spin polarons

Compatibility with a Slater-type antiferromagnetic transition

Abstract

The dynamics of a single hole (or electron) in the two dimensional Hubbard model is investigated. The antiferromagnetic background is described by a N\`eel state, and the hopping of the carrier is analyzed within a configuration interaction approach. Results are in agreement with other methods and with experimental data when available. All data are compatible with the opening of a mean field gap in a Fermi liquid of spin polarons, the so called Slater type of transition. In particular, this hypothesis explains the unusual dispersion relation of the quasiparticle bands near the transition. Recent photoemission data for Ca$_2$CuO$_2$Cl$_2$ are analyzed within this context.