Tilt Induced Localization and Delocalization in the Second Landau Level

TL;DR

This study explores how tilted magnetic fields affect electronic phases in the second Landau level, revealing tilt-driven localization of fractional quantum Hall liquids and melting of solid phases, with implications for magnetic ordering.

Contribution

It provides new insights into the effects of tilt on quantum Hall states and solid phases, highlighting mechanisms of localization and delocalization in the second Landau level.

Findings

Fractional quantum Hall liquids are destroyed by tilt.

Solid phases melt and delocalize under tilt.

Evidence suggests antiferromagnetic ordering in the classical Hall gas.

Abstract

We have investigated the behavior of electronic phases of the second Landau level under tilted magnetic fields. The fractional quantum Hall liquids at $\nu=$2+1/5 and 2+4/5 and the solid phases at $\nu=$2.30, 2.44, 2.57, and 2.70 are quickly destroyed with tilt. This behavior can be interpreted as a tilt driven localization of the 2+1/5 and 2+4/5 fractional quantum Hall liquids and a delocalization through melting of solid phases in the top Landau level, respectively. The evolution towards the classical Hall gas of the solid phases is suggestive of antiferromagnetic ordering.