Electron Momentum Distribution Function in the t-t'-J Model

TL;DR

This paper investigates the electron momentum distribution in the t-t'-J model with one hole, revealing an emerging large Fermi surface and the quantitative effects of NNN hopping, using numerical and analytical methods.

Contribution

It provides a combined numerical and analytical study of EMDF in the t-t'-J model, highlighting the impact of NNN hopping on Fermi surface properties.

Findings

Quantitative agreement between numerical and analytical EMDF results.

Anomalous momentum dependence indicating a large Fermi surface.

N N N hopping terms modify EMDF quantitatively, not qualitatively.

Abstract

We study the electron momentum distribution function (EMDF) for the two-dimensional t-t'-J model doped with one hole on finite clusters by the method of twisted boundary conditions. The results quantitatively agree with our analytical results for a single hole in the antiferromagnetic background, based on the self-consistent Born approximation (SCBA). Moreover, within the SCBA an anomalous momentum dependence of EMDF is found, pointing to an emerging large Fermi surface. The analysis shows that the presence of next-nearest-neighbor (NNN) hopping terms changes EMDF only quantitatively.