---
_id: '10845'
abstract:
- lang: eng
  text: We study an impurity with a resonance level whose position coincides with
    the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation
    of the scattering phase shift for fermions at the Fermi surface, introducing a
    new characteristic length scale into the problem. We investigate manifestations
    of this length scale in the self-energy of the impurity and in the density of
    the bath. Our calculations reveal a model-independent deformation of the density
    of the Fermi gas, which is determined by the width of the resonance. To provide
    a broader picture, we investigate time evolution of the density in quench dynamics,
    and study the behavior of the system at finite temperatures. Finally, we briefly
    discuss implications of our findings for the Fermi-polaron problem.
acknowledgement: M.L. acknowledges support by the Austrian Science Fund (FWF), under
  Project No. P29902-N27, and by the European Research Council (ERC) starting Grant
  No. 801770 (ANGULON). A.G.V. acknowledges support by European Union’s Horizon 2020
  research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
  No. 754411.
article_number: '013160'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mikhail
  full_name: Maslov, Mikhail
  id: 2E65BB0E-F248-11E8-B48F-1D18A9856A87
  last_name: Maslov
  orcid: 0000-0003-4074-2570
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Artem
  full_name: Volosniev, Artem
  id: 37D278BC-F248-11E8-B48F-1D18A9856A87
  last_name: Volosniev
  orcid: 0000-0003-0393-5525
citation:
  ama: Maslov M, Lemeshko M, Volosniev A. Impurity with a resonance in the vicinity
    of the Fermi energy. <i>Physical Review Research</i>. 2022;4. doi:<a href="https://doi.org/10.1103/PhysRevResearch.4.013160">10.1103/PhysRevResearch.4.013160</a>
  apa: Maslov, M., Lemeshko, M., &#38; Volosniev, A. (2022). Impurity with a resonance
    in the vicinity of the Fermi energy. <i>Physical Review Research</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevResearch.4.013160">https://doi.org/10.1103/PhysRevResearch.4.013160</a>
  chicago: Maslov, Mikhail, Mikhail Lemeshko, and Artem Volosniev. “Impurity with
    a Resonance in the Vicinity of the Fermi Energy.” <i>Physical Review Research</i>.
    American Physical Society, 2022. <a href="https://doi.org/10.1103/PhysRevResearch.4.013160">https://doi.org/10.1103/PhysRevResearch.4.013160</a>.
  ieee: M. Maslov, M. Lemeshko, and A. Volosniev, “Impurity with a resonance in the
    vicinity of the Fermi energy,” <i>Physical Review Research</i>, vol. 4. American
    Physical Society, 2022.
  ista: Maslov M, Lemeshko M, Volosniev A. 2022. Impurity with a resonance in the
    vicinity of the Fermi energy. Physical Review Research. 4, 013160.
  mla: Maslov, Mikhail, et al. “Impurity with a Resonance in the Vicinity of the Fermi
    Energy.” <i>Physical Review Research</i>, vol. 4, 013160, American Physical Society,
    2022, doi:<a href="https://doi.org/10.1103/PhysRevResearch.4.013160">10.1103/PhysRevResearch.4.013160</a>.
  short: M. Maslov, M. Lemeshko, A. Volosniev, Physical Review Research 4 (2022).
corr_author: '1'
date_created: 2022-03-13T23:01:46Z
date_published: 2022-03-01T00:00:00Z
date_updated: 2026-04-07T11:52:53Z
day: '01'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1103/PhysRevResearch.4.013160
ec_funded: 1
external_id:
  arxiv:
  - '2111.13570'
file:
- access_level: open_access
  checksum: 62f64b3421a969656ebf52467fa7b6e8
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  creator: dernst
  date_created: 2022-03-14T08:38:49Z
  date_updated: 2022-03-14T08:38:49Z
  file_id: '10848'
  file_name: 2022_PhysicalReviewResearch_Maslov.pdf
  file_size: 1258324
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file_date_updated: 2022-03-14T08:38:49Z
has_accepted_license: '1'
intvolume: '         4'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '801770'
  name: 'Angulon: physics and applications of a new quasiparticle'
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
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    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Impurity with a resonance in the vicinity of the Fermi energy
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2022'
...