The Quantum Hall Effect with Wilczek's charged magnetic flux tubes instead of electrons
| Autor: | Todorić, Marija, Jukić, Dario, Radić, Danko, Soljačić, Marin, Buljan, Hrvoje |
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| Rok vydání: | 2017 |
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| Zdroj: | Phys. Rev. Lett. 120, 267201 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.120.267201 |
| Popis: | 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 ($\mu_r$) 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 (IQHE), 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. Comment: are welcome |
| Databáze: | arXiv |
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