Anyonic statistics of quantum impurities in two dimensions

E. Yakaboylu, M. Lemeshko, Physical Review B - Condensed Matter and Materials Physics 98 (2018).


Journal Article | Published | English
Department
Abstract
We demonstrate that identical impurities immersed in a two-dimensional many-particle bath can be viewed as flux-tube-charged-particle composites described by fractional statistics. In particular, we find that the bath manifests itself as an external magnetic flux tube with respect to the impurities, and hence the time-reversal symmetry is broken for the effective Hamiltonian describing the impurities. The emerging flux tube acts as a statistical gauge field after a certain critical coupling. This critical coupling corresponds to the intersection point between the quasiparticle state and the phonon wing, where the angular momentum is transferred from the impurity to the bath. This amounts to a novel configuration with emerging anyons. The proposed setup paves the way to realizing anyons using electrons interacting with superfluid helium or lattice phonons, as well as using atomic impurities in ultracold gases.
Publishing Year
Date Published
2018-07-15
Journal Title
Physical Review B - Condensed Matter and Materials Physics
Volume
98
Issue
4
Article Number
045402
IST-REx-ID

Cite this

Yakaboylu E, Lemeshko M. Anyonic statistics of quantum impurities in two dimensions. Physical Review B - Condensed Matter and Materials Physics. 2018;98(4). doi:10.1103/PhysRevB.98.045402
Yakaboylu, E., & Lemeshko, M. (2018). Anyonic statistics of quantum impurities in two dimensions. Physical Review B - Condensed Matter and Materials Physics, 98(4). https://doi.org/10.1103/PhysRevB.98.045402
Yakaboylu, Enderalp, and Mikhail Lemeshko. “Anyonic Statistics of Quantum Impurities in Two Dimensions.” Physical Review B - Condensed Matter and Materials Physics 98, no. 4 (2018). https://doi.org/10.1103/PhysRevB.98.045402.
E. Yakaboylu and M. Lemeshko, “Anyonic statistics of quantum impurities in two dimensions,” Physical Review B - Condensed Matter and Materials Physics, vol. 98, no. 4, 2018.
Yakaboylu E, Lemeshko M. 2018. Anyonic statistics of quantum impurities in two dimensions. Physical Review B - Condensed Matter and Materials Physics. 98(4).
Yakaboylu, Enderalp, and Mikhail Lemeshko. “Anyonic Statistics of Quantum Impurities in Two Dimensions.” Physical Review B - Condensed Matter and Materials Physics, vol. 98, no. 4, 045402, American Physical Society, 2018, doi:10.1103/PhysRevB.98.045402.

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