---
_id: '195'
abstract:
- lang: eng
  text: 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.
article_number: '045402'
article_processing_charge: No
arxiv: 1
author:
- first_name: Enderalp
  full_name: Yakaboylu, Enderalp
  id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
  last_name: Yakaboylu
  orcid: 0000-0001-5973-0874
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
citation:
  ama: Yakaboylu E, Lemeshko M. Anyonic statistics of quantum impurities in two dimensions.
    <i>Physical Review B</i>. 2018;98(4). doi:<a href="https://doi.org/10.1103/PhysRevB.98.045402">10.1103/PhysRevB.98.045402</a>
  apa: Yakaboylu, E., &#38; Lemeshko, M. (2018). Anyonic statistics of quantum impurities
    in two dimensions. <i>Physical Review B</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.98.045402">https://doi.org/10.1103/PhysRevB.98.045402</a>
  chicago: Yakaboylu, Enderalp, and Mikhail Lemeshko. “Anyonic Statistics of Quantum
    Impurities in Two Dimensions.” <i>Physical Review B</i>. American Physical Society,
    2018. <a href="https://doi.org/10.1103/PhysRevB.98.045402">https://doi.org/10.1103/PhysRevB.98.045402</a>.
  ieee: E. Yakaboylu and M. Lemeshko, “Anyonic statistics of quantum impurities in
    two dimensions,” <i>Physical Review B</i>, vol. 98, no. 4. American Physical Society,
    2018.
  ista: Yakaboylu E, Lemeshko M. 2018. Anyonic statistics of quantum impurities in
    two dimensions. Physical Review B. 98(4), 045402.
  mla: Yakaboylu, Enderalp, and Mikhail Lemeshko. “Anyonic Statistics of Quantum Impurities
    in Two Dimensions.” <i>Physical Review B</i>, vol. 98, no. 4, 045402, American
    Physical Society, 2018, doi:<a href="https://doi.org/10.1103/PhysRevB.98.045402">10.1103/PhysRevB.98.045402</a>.
  short: E. Yakaboylu, M. Lemeshko, Physical Review B 98 (2018).
corr_author: '1'
date_created: 2018-12-11T11:45:08Z
date_published: 2018-07-15T00:00:00Z
date_updated: 2026-08-12T14:24:49Z
day: '15'
department:
- _id: MiLe
doi: 10.1103/PhysRevB.98.045402
ec_funded: 1
external_id:
  arxiv:
  - '1712.00308'
  isi:
  - '000436939100007'
fulldoi: https://doi.org/10.1103/PhysRevB.98.045402
intvolume: '        98'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1712.00308
month: '07'
oa: 1
oa_version: Submitted Version
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
publication: Physical Review B
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anyonic statistics of quantum impurities in two dimensions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 98
year: '2018'
...