Year: 2022
Type: article
Abstract: The interplay between interaction and disorder-induced localization is of fundamental interest. This article addresses localization physics in the fractional quantum Hall state, where both interaction and disorder have nonperturbative consequences. We provide compelling theoretical evidence that the localization of a single quasiparticle of the fractional quantum Hall state at filling factor ν=n/(2n+1) has a striking quantitative correspondence to the localization of a single electron in the (n+1)th Landau level. By analogy to the dramatic experimental manifestations of Anderson localization in integer quantum Hall effect, this leads to predictions in the fractional quantum Hall regime regarding the existence of extended states at a critical energy, and the nature of the divergence of the localization length as this energy is approached. Within a mean field approximation, these results can be extended to situations where a finite density of quasiparticles is present.
Source: Physical Review Letters
Authors: Songyang Pu, G. J. Sreejith, J. K. Jain
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: U.S. Department of Energy, Pennsylvania State University, Leverhulme Trust, Department of Science and Technology, Ministry of Science and Technology, India, Indian Institute of Science Education and Research Pune, Ministry of Electronics and Information technology, Institute for Computational and Data Sciences, Pennsylvania State University, Science and Engineering Research Board, Office of Advanced Cyberinfrastructure, Basic Energy Sciences
OpenAlex ID: W3197325557