Induced magnetic moment in graphene with a nonmagnetic impurity

TL;DR

This paper investigates how a non-magnetic impurity in graphene can induce a magnetic moment by analyzing impurity states and polarization effects near the Dirac points using the Weyl Hamiltonian.

Contribution

It introduces a theoretical framework to calculate impurity-induced magnetic moments in graphene with a non-magnetic impurity, including a phase diagram of magnetic states.

Findings

Localized magnetic states depend on chemical potential and coupling strength.

Impurity states can induce magnetic polarization in the electron system.

Phase diagram maps magnetic and non-magnetic regions.

Abstract

We consider a two-dimensional crystalline monolayer of carbon atoms with a single non-magnetic impurity. Using the Weyl Hamiltonian to describe electronic energy spectrum near the Dirac points, we calculate the wave function and energy of impurity states, as well as the induced magnetic moment associated with polarization of the electron system. We present a phase diagram of the localized magnetic state as a function of the chemical potential $\mu $ and coupling constant $g_c$.