Coexistent multifractal mesoscopic fluctuations in Integer Quantum Hall Transition and in Orbital Hall Transition

TL;DR

This paper demonstrates that both the integer quantum Hall transition and the orbital Hall transition in a disordered nanowire exhibit multifractal conductance fluctuations, revealing new insights into their interconnected nature and disorder effects.

Contribution

It introduces a multifractal analysis of conductance fluctuations in IQHT and OHT, highlighting the role of disorder and finite size in their multifractal behavior.

Findings

Both IQHT and OHT show multifractal conductance fluctuations.

Disorder influences the strength and regime of multifractality.

Orbital Hall transition offers new perspectives for IQHT analysis.

Abstract

We show that the integer quantum Hall transition in a disordered nanowire with orbital momentum-space texture connected to four terminals is accompanied by an orbital Hall transition. We applied a multifractal detrended fluctuation analysis and found that both conductance fluctuations in the integer quantum Hall transition (IQHT) and orbital-conductance fluctuations in the orbital Hall transition (OHT) display multifractal behavior. We argue that this multifractality is primarily related to disorder, which gives rise to the strong fluctuations that are fingerprints of IQHT and OHT, but is also a consequence of the fact that the nanowire has finite size, which causes a weakening of the multifractality in a certain range of values of disorder strength followed by a new regime of increasing multifractality with increasing disorder strength. Furthermore, our findings indicate that OHT can bring novel insights to future IQHT analysis.