Quantum Hall Effect with Composites of Magnetic Flux Tubes and Charged Particles

Scientific paper - Original scientific paper

• Author: Marija Todorić
• Author: Dario Jukić
• Author: Danko Radić
• Author: Marin Soljačić
• Author: Hrvoje Buljan
• Author's institution: University of Zagreb; Faculty of Civil Engineering
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering

Abstract (english)

Composites formed from charged particles and magnetic flux tubes, proposed by Wilczek, are one model for anyons—particles obeying fractional statistics. Here we propose a scheme for realizing charged flux tubes, in which a charged object with an intrinsic magnetic dipole moment is placed between two semi- infinite blocks of a high-permeability(μr) material, and the images of the magnetic moment create an effective flux tube. We show that the scheme can lead to a realization of Wilczek’s anyons, when a two- dimensional electron system, which exhibits the integer quantum Hall effect, is sandwiched between two blocks of the high- μr material with a temporally fast response (in the cyclotron and Larmor frequency range). The signature of Wilczek’s anyons is a slight shift of the resistivity at the plateau of the IQHE. Thus, the quest for high-μr materials at high frequencies, which is underway in the field of metamaterials, and the quest for anyons, are here found to be on the same avenue.

• Keywords (english): Anyons; Integer Quantum Hall Effect; Metamaterials
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical review letters
• Numbering: vol. 120(26), 267201
• e-ISSN: 1079-7114
• DOI: https://doi.org/10.1103/PhysRevLett.120.267201
• URN:NBN: urn:nbn:hr:237:081532
• Publication: 2018
• Type of resource: Text
• Access conditions: Open access
• Created on: 2024-09-05 10:32:06