Andreev-Lifshitz supersolid revisited for a few electrons on a square lattice II

TL;DR

This paper investigates the coexistence of a single unpaired fermion with a correlated two-particle Wigner molecule in a system of three spinless electrons on a square lattice, revealing complex many-body interactions.

Contribution

It revisits the Andreev-Lifshitz supersolid concept by analyzing a specific three-electron lattice model with Coulomb interactions and hopping.

Findings

Unpaired fermion coexists with a two-particle Wigner molecule at intermediate Coulomb-to-kinetic energy ratios.

Demonstrates complex many-body states in a small lattice system.

Provides insights into supersolid-like behavior in lattice electron systems.

Abstract

In this second paper, using N=3 polarized electrons (spinless fermions) interacting via a U/r Coulomb repulsion on a two dimensional L * L square lattice with periodic boundary conditions and nearest neighbor hopping, we show that a single unpaired fermion can co-exist with a correlated two particle Wigner molecule for intermediate values of the Coulomb energy to kinetic energy ratio r_s.