Undulatory Variation of Antiferromagnetic Strength with Magnetic Field Based on Hubbard Model Hamiltonian

TL;DR

This paper investigates how antiferromagnetic strength varies with magnetic field using the Hubbard model, revealing undulatory behavior linked to the magnetic flux and statistical phase effects.

Contribution

It demonstrates the existence of minima in antiferromagnetic strength at specific rational flux values and explains the undulatory variation due to statistical phase influences.

Findings

Minima in antiferromagnetic strength at even denominator flux values

Undulatory variation of antiferromagnetic strength with magnetic field

Relation to net statistical phase effects

Abstract

Using the Hubbard model Hamiltonian in a mean field level, we examine the variation of antiferromagnetic strength with applied magnetic field. It is demonstrated that minima in the antiferromagnetic strength exist at the the even integer denominator values of rational number for magnetic flux per plaquette. The undulatory behavior of antiferromagnetic strength with the external magnetic field is found. It is seen to be related to the undulatory net statistical phase owing to the influence of the applied magnetic field.