Asymmetric localization in disordered Landau bands

TL;DR

This paper demonstrates that Landau band mixing causes asymmetric localization of eigenstates in disordered 2D lattices, with localization increasing at the band bottom and decreasing at the top, influenced by disorder strength and interband coupling.

Contribution

It reveals the asymmetric localization effect caused by Landau band mixing and its dependence on interband coupling and disorder strength in 2D lattice systems.

Findings

Localization increases at the lower part of the band

Localization decreases at the upper part of the band

Effect disappears without interband coupling

Abstract

We show that due to the Landau band mixing the eigenstate localization within the disordered bands get an asymmetric structure: the degree of localization increases in the lower part of the band and decreases in the upper one. The calculation is performed for a 2D lattice with the Anderson disorder potential and we prove that this effect is related to the upper shift of the extended states within the band and is enhanced by the disorder strength. The asymmetric localization and the energy shift dissapear when the interband coupling is switched off.