Density Correlations of Magnetic Impurities and Disorder

TL;DR

This paper investigates how magnetic impurities, modeled as point vortices, influence the density of states of electrons, revealing differences based on impurity statistics and temperature, and proposing a phase diagram for impurity regimes.

Contribution

It introduces a model of magnetic impurities with Bose or Fermi statistics affecting electron density of states and compares these effects to Poisson distribution, highlighting temperature-dependent disorder effects.

Findings

Fermi statistics at zero temperature lead to less disorder.

A phase diagram distinguishes isolated impurities from Landau level oscillations.

Comparison shows differences in density of states based on impurity distribution.

Abstract

We consider an electron coupled to a random distribution of point vortices in the plane (magnetic impurities). We analyze the effect of the magnetic impurities on the density of states of the test particle, when the magnetic impurities have a spatial probability distribution governed by Bose or Fermi statistic at a given temperature. Comparison is made with the Poisson distribution, showing that the zero temperature Fermi distribution corresponds to less disorder. A phase diagram describing isolated impurities versus Landau level oscillations is proposed.