Stripes in a three-chain Hubbard ladder: a comparison of density-matrix renormalization group and constrained-path Monte Carlo results

TL;DR

This paper compares two computational methods, DMRG and constrained-path Monte Carlo, to study stripe formations in a doped three-chain Hubbard ladder, revealing stripe states at strong interactions.

Contribution

It demonstrates the consistency of DMRG and constrained-path Monte Carlo in analyzing stripe phases in a Hubbard ladder at various interaction strengths.

Findings

Agreement between methods in small and intermediate U regimes

Stripe ground states emerge for U/t ≥ 6

Identification of stripe patterns in the doped ladder

Abstract

Using both the density-matrix renormalization group method and the constrained-path quantum Monte Carlo method, we have studied the ground-state energies and the spin and hole densities of a $12 \times 3$ Hubbard model with open boundary conditions and 6 holes doped away from half-filling. Results obtained with these two methods agree well in the small and intermediate $U$ regimes. For $U/t \geq 6$ we find a ground-state with stripes.