Few-particle Green's functions for strongly correlated systems on infinite lattices

TL;DR

This paper presents an efficient method to compute few-particle Green's functions for infinite lattice models, enabling analysis of ground states and phase diagrams in strongly correlated systems.

Contribution

It introduces a novel computational approach for few-particle Green's functions applicable to infinite lattices with nearest-neighbor hopping.

Findings

Determined stability regions of bound complexes.

Mapped phase diagrams at small fermion concentrations.

Analyzed ground states for up to 5 fermions.

Abstract

We show how few-particle Green's functions can be calculated efficiently for models with nearest-neighbor hopping, for infinite lattices in any dimension. As an example, for one dimensional spinless fermions with both nearest-neighbor and second nearest-neighbor interactions, we investigate the ground states for up to 5 fermions. This allows us not only to find the stability region of various bound complexes, but also to infer the phase diagram at small but finite concentrations.