---
_id: '7594'
abstract:
- lang: eng
  text: The concept of the entanglement between spin and orbital degrees of freedom
    plays a crucial role in our understanding of various phases and exotic ground
    states in a broad class of materials, including orbitally ordered materials and
    spin liquids. We investigate how the spin-orbital entanglement in a Mott insulator
    depends on the value of the spin-orbit coupling of the relativistic origin. To
    this end, we numerically diagonalize a one-dimensional spin-orbital model with
    Kugel-Khomskii exchange interactions between spins and orbitals on different sites
    supplemented by the on-site spin-orbit coupling. In the regime of small spin-orbit
    coupling with regard to the spin-orbital exchange, the ground state to a large
    extent resembles the one obtained in the limit of vanishing spin-orbit coupling.
    On the other hand, for large spin-orbit coupling the ground state can, depending
    on the model parameters, either still show negligible spin-orbital entanglement
    or evolve to a highly spin-orbitally-entangled phase with completely distinct
    properties that are described by an effective XXZ model. The presented results
    suggest that (i) the spin-orbital entanglement may be induced by large on-site
    spin-orbit coupling, as found in the 5d transition metal oxides, such as the iridates;
    (ii) for Mott insulators with weak spin-orbit coupling of Ising type, such as,
    e.g., the alkali hyperoxides, the effects of the spin-orbit coupling on the ground
    state can, in the first order of perturbation theory, be neglected.
article_number: '013353'
article_processing_charge: No
article_type: original
author:
- first_name: Dorota
  full_name: Gotfryd, Dorota
  last_name: Gotfryd
- first_name: Ekaterina
  full_name: Paerschke, Ekaterina
  id: 8275014E-6063-11E9-9B7F-6338E6697425
  last_name: Paerschke
  orcid: 0000-0003-0853-8182
- first_name: Jiri
  full_name: Chaloupka, Jiri
  last_name: Chaloupka
- first_name: Andrzej M.
  full_name: Oles, Andrzej M.
  last_name: Oles
- first_name: Krzysztof
  full_name: Wohlfeld, Krzysztof
  last_name: Wohlfeld
citation:
  ama: Gotfryd D, Paerschke E, Chaloupka J, Oles AM, Wohlfeld K. How spin-orbital
    entanglement depends on the spin-orbit coupling in a Mott insulator. <i>Physical
    Review Research</i>. 2020;2(1). doi:<a href="https://doi.org/10.1103/PhysRevResearch.2.013353">10.1103/PhysRevResearch.2.013353</a>
  apa: Gotfryd, D., Paerschke, E., Chaloupka, J., Oles, A. M., &#38; Wohlfeld, K.
    (2020). How spin-orbital entanglement depends on the spin-orbit coupling in a
    Mott insulator. <i>Physical Review Research</i>. American Physical Society. <a
    href="https://doi.org/10.1103/PhysRevResearch.2.013353">https://doi.org/10.1103/PhysRevResearch.2.013353</a>
  chicago: Gotfryd, Dorota, Ekaterina Paerschke, Jiri Chaloupka, Andrzej M. Oles,
    and Krzysztof Wohlfeld. “How Spin-Orbital Entanglement Depends on the Spin-Orbit
    Coupling in a Mott Insulator.” <i>Physical Review Research</i>. American Physical
    Society, 2020. <a href="https://doi.org/10.1103/PhysRevResearch.2.013353">https://doi.org/10.1103/PhysRevResearch.2.013353</a>.
  ieee: D. Gotfryd, E. Paerschke, J. Chaloupka, A. M. Oles, and K. Wohlfeld, “How
    spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator,”
    <i>Physical Review Research</i>, vol. 2, no. 1. American Physical Society, 2020.
  ista: Gotfryd D, Paerschke E, Chaloupka J, Oles AM, Wohlfeld K. 2020. How spin-orbital
    entanglement depends on the spin-orbit coupling in a Mott insulator. Physical
    Review Research. 2(1), 013353.
  mla: Gotfryd, Dorota, et al. “How Spin-Orbital Entanglement Depends on the Spin-Orbit
    Coupling in a Mott Insulator.” <i>Physical Review Research</i>, vol. 2, no. 1,
    013353, American Physical Society, 2020, doi:<a href="https://doi.org/10.1103/PhysRevResearch.2.013353">10.1103/PhysRevResearch.2.013353</a>.
  short: D. Gotfryd, E. Paerschke, J. Chaloupka, A.M. Oles, K. Wohlfeld, Physical
    Review Research 2 (2020).
date_created: 2020-03-20T15:21:10Z
date_published: 2020-03-20T00:00:00Z
date_updated: 2024-10-21T06:02:21Z
day: '20'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1103/PhysRevResearch.2.013353
ec_funded: 1
file:
- access_level: open_access
  checksum: 1be551fd5f5583635076017d7391ffdc
  content_type: application/pdf
  creator: dernst
  date_created: 2020-03-23T10:18:38Z
  date_updated: 2020-07-14T12:48:00Z
  file_id: '7610'
  file_name: 2020_PhysRevResearch_Gotfryd.pdf
  file_size: 1436735
  relation: main_file
file_date_updated: 2020-07-14T12:48:00Z
has_accepted_license: '1'
intvolume: '         2'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Physical Review Research
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: How spin-orbital entanglement depends on the spin-orbit coupling in a Mott
  insulator
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: 2
year: '2020'
...