The 2D Mott-Hubbard transition in presence of a parallel magnetic field

TL;DR

This study investigates the two-dimensional Hubbard model under a parallel magnetic field, revealing a metal-insulator transition with results aligning qualitatively with recent experiments.

Contribution

It provides a self-consistent solution to the 2D Hubbard model with a magnetic field, fulfilling Pauli principle constraints, and analyzes the magnetic field's effect on the metal-insulator transition.

Findings

Qualitative agreement with experimental results

Identification of metal-insulator transition features

Self-consistent solution respecting Pauli principle

Abstract

The half-filled two-dimensional Hubbard model in presence of a uniform and static parallel magnetic field has been studied by means of the Composite Operator Method. A fully self-consistent solution, fulfilling all the constrains coming from the Pauli principle, has been found. The relevant features of a metal-insulator transition in presence of a magnetic field have been analyzed. The results qualitatively agree with the ones recently obtained by means of experimental investigations.