Recurrent Variational Approach to the Two-Leg Hubbard Ladder

TL;DR

This paper introduces a Recurrent Variational Approach to study the two-leg Hubbard ladder, extending RVB states to finite doping and validating results against DMRG, offering a new computational perspective on strongly correlated systems.

Contribution

It presents a novel Recurrent Variational Approach applied to the two-leg Hubbard ladder, including finite doping scenarios, and compares results with established DMRG methods.

Findings

Recurrent Variational Approach effectively models the Hubbard ladder.

Results agree with Density Matrix Renormalization Group data.

Extended RVB states to doped systems.

Abstract

We applied the Recurrent Variational Approach to the two-leg Hubbard ladder. At half-filling, our variational Ansatz was a generalization of the resonating valence bond state. At finite doping, hole pairs were allowed to move in the resonating valence bond background. The results obtained by the Recurrent Variational Approach were compared with results from Density Matrix Renormalization Group.