Dispersion of a single hole in the t-J model

TL;DR

This paper provides a mean-field theoretical explanation for the dispersion of a single hole in the t-J model, reconciling various computational results and highlighting the role of d-RVB pairing and antiferromagnetic order.

Contribution

It introduces a mean-field framework that simplifies understanding of the t-J model's hole dispersion, including effects of extended hopping terms, and explains differences among computational methods.

Findings

Mean-field theory reproduces exact and numerical results.

Extended van Hove region at (pi,0) explained by d-RVB pairing.

Consistent explanation of t', t'' effects on dispersion.

Abstract

The dispersion of a single hole in the t-J model obtained by the exact result of 32 sites and the results obtained by self-consistent Born approximation and the Green function Monte Carlo method can be simply derived by a mean-field theory with d-RVB and antiferromagnetic order parameters. In addition, it offers a simple explanation for the difference observed between those results. The presence of the extended van Hove region at (pi,0) is a consequence of the d-RVB pairing independenct of the antiferromagnetic order. Results including t' and t" are also presented and explained consistently in a similar way.