THE ANOMALOUS DIFFUSION IN HIGH MAGNETIC FIELD AND THE QUASIPARTICLE DENSITY OF STATES

TL;DR

This paper investigates how strong magnetic fields affect the density of states in disordered two-dimensional electronic systems near the metal-insulator transition, revealing a divergence influenced by anomalous diffusion.

Contribution

It introduces a new power-law dependence of the density of states on energy, characterized by the anomalous diffusion exponent, in high magnetic field conditions.

Findings

Density of states shows a divergent correction near the Fermi level.

The correction follows a power-law with an exponent related to anomalous diffusion.

Observable in tunneling experiments with specific heterostructure parameters.

Abstract

We consider a disordered two-dimensional electronic system in the limit of high magnetic field at the metal-insulator transition. Density of states close to the Fermi level acquires a divergent correction to the lowest order in electron-electron interaction and shows a new power-law dependence on the energy, with the power given by the anomalous diffusion exponent $\eta$. This should be observable in the tunneling experiment with double-well GaAs heterostructure of the mobility $\propto 10^{4}V/s$ at temperatures of $\propto 10 mK$ and voltages of $\propto 1 \mu V$.