Dimensional Crossover of the Integer Quantum Hall Plateau Transition and Disordered Topological Pumping

Matteo Ippoliti, R. N. Bhatt

Research output: Contribution to journalArticle

Abstract

We study the quantum Hall plateau transition on rectangular tori. As the aspect ratio of the torus is increased, the two-dimensional critical behavior, characterized by a subthermodynamic number of topological states in a vanishing energy window around a critical energy, changes drastically. In the thin-torus limit, the entire spectrum is Anderson localized; however, an extensive number of states retain a Chern number C≠0. We resolve this apparent paradox by mapping the thin-torus quantum Hall system onto a disordered Thouless pump, where the Chern number corresponds to the winding number of an electron's path in real space during a pump cycle. We then characterize quantitatively the crossover between the one- and two-dimensional regimes for finite torus thickness, where the average Thouless conductance also shows anomalous scaling.

Original languageEnglish (US)
Article number086602
JournalPhysical review letters
Volume124
Issue number8
DOIs
StatePublished - Feb 27 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Dimensional Crossover of the Integer Quantum Hall Plateau Transition and Disordered Topological Pumping'. Together they form a unique fingerprint.

  • Cite this