Quantum Monte Carlo Study of an Extended Hubbard Model on a Two-leg Ladder

TL;DR

This study uses quantum Monte Carlo methods to analyze an extended Hubbard model on a two-leg ladder, revealing phase separation signals linked to attractive interactions along chains.

Contribution

It provides the first numerical analysis of an extended Hubbard model with specific inter-chain interactions using quantum Monte Carlo techniques.

Findings

Identification of cliff-like regions in doping vs. chemical potential plots

Divergence of charge susceptibility in certain regions

Evidence suggesting phase separation due to effective attractive interactions

Abstract

An extended Hubbard model on a two-leg ladder is numerically studied by means of the quantum Monte Carlo techniques. The model we study has the nearest-neighbor interactions which are repulsive along chains and attractive for rungs. The plots of the doping parameter versus the chemical potential show two cliff-like regions and a large plateau region. Results on the charge susceptibility suggest it diverges in these cliff-like regions. These observations might imply a signal to the phase separation, which should be related to the effective attractive interactions along chains.