Microscopic Theory of the Reentrant IQHE in the First and Second Excited LLs

TL;DR

This paper develops a microscopic theory explaining the reentrant integer quantum Hall effect observed in the first two excited Landau levels, highlighting alternating ground states that lead to quantized Hall resistance.

Contribution

It introduces a new microscopic model predicting alternating M-electron-bubble and quantum-liquid ground states in excited Landau levels, explaining reentrant IQHE phenomena.

Findings

Quantum-liquid states exhibit fractional quantum Hall effect.

Bubble phases are insulating with quantized Hall resistance.

Alternating ground states cause reentrant IQHE in higher Landau levels.

Abstract

We present a microscopic theory for the recently observed reentrant integral quantum Hall effect in the n=1 and n=2 Landau levels. Our energy investigations indicate an alternating sequence of M-electron-bubble and quantum-liquid ground states in a certain range of the partial filling factor of the n-th level. Whereas the quantum-liquid states display the fractional quantum Hall effect, the bubble phases are insulating, and the Hall resistance is thus quantized at integral values of the total filling factor.