Exact many-electron ground states on the diamond Hubbard chain

TL;DR

This paper constructs exact many-electron ground states on the diamond Hubbard chain, revealing tunable magnetic and electronic properties such as ferromagnetism and metal-insulator transitions influenced by magnetic flux, potentials, and electron density.

Contribution

It provides explicit solutions for ground states in a complex lattice model, demonstrating how to control electronic and magnetic phases through external parameters.

Findings

Ground states exhibit flat-band ferromagnetism.

Electronic behavior can be tuned between metallic, half-metallic, and insulating.

Magnetic and electronic properties are adjustable via magnetic flux, potentials, and electron density.

Abstract

Exact ground states of interacting electrons on the diamond Hubbard chain in a magnetic field are constructed which exhibit a wide range of properties such as flat-band ferromagnetism and correlation induced metallic, half-metallic or insulating behavior. The properties of these ground states can be tuned by changing the magnetic flux, local potentials, or electron density.