The Mott metal-insulator transition in the 1D Hubbard model in an external magnetic field

TL;DR

This paper investigates the Mott metal-insulator transition in the 1D Hubbard model under an external magnetic field, combining numerical and analytical methods to understand the effects of magnetic fields on the transition.

Contribution

It provides a detailed analysis of the dressed charge matrix at the transition point and explores how time reversal symmetry breaking affects the Mott transition.

Findings

Calculated dressed charge matrix elements at criticality for various parameters

Revealed influence of magnetic field on the Mott transition

Connected numerical results with effective field theory insights

Abstract

We study the low energy behavior of the one dimensional Hubbard model across the Mott metal-insulator phase transition in an external magnetic field. In particular we calculate elements of the dressed charge matrix at the critical point of the Mott transition for arbitrary Hubbard repulsion and magnetization numerically and, in certain limiting cases, analytically. These results are combined with a non-perturbative effective field theory approach to reveal how the breaking of time reversal symmetry influences the Mott transition.