Stability of Impurities with Coulomb Potential in Graphene with Homogeneous Magnetic Field

TL;DR

This paper demonstrates that in a 2D Weyl operator model of graphene with a point nucleus, applying a homogeneous magnetic field does not increase the critical charge threshold for collapse.

Contribution

It provides a rigorous analysis showing magnetic fields do not reduce the critical charge for impurity stability in graphene models.

Findings

Homogeneous magnetic field does not lower the critical charge.

Critical charge remains unchanged with magnetic field.

Stability of impurities is unaffected by magnetic fields.

Abstract

Given a 2-dimensional no-pair Weyl operator with a point nucleus of charge Z, we show that a homogeneous magnetic field does not lower the critical charge beyond which it collapses.