Numerical approach to low-doping regime of the t-J model

TL;DR

This paper introduces a new numerical method for studying a single hole in the antiferromagnetic background of the t-J model, providing accurate results in the thermodynamic limit and confirming key physical features.

Contribution

A novel numerical approach that avoids finite-size effects and can incorporate additional inelastic degrees of freedom in the t-J model.

Findings

Finite quasiparticle weight near the band minimum.

Existence of string-like peaks in the spectral function.

Good agreement with existing methods.

Abstract

We develop an efficient numerical method for the description of a single-hole motion in the antiferromagnetic background. The method is free of finite-size effects and allows calculation of physical properties at an arbitrary wavevector. Methodical increase of the functional space leads to results that are valid in the thermodynamic limit. We found good agreement with cumulant expansion, exact- diagonalization approaches on finite lattices as well as self-consistent Born approximations. The method allows a straightforward addition of other inelastic degrees of freedom, such as lattice effects. Our results confirm the existence of a finite quasiparticle weight near the band minimum for a single hole and the existence of string-like peaks in the single-hole spectral function.