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

摘要

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 semiinfinite blocks of a high-permeability (mu(r)) 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-mu(r) 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-mu(r) 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.