---
OA_place: repository
OA_type: green
_id: '18654'
abstract:
- lang: eng
  text: "We compute the rotational anisotropy of the free energy of \U0001D6FC−RuCl3
    in an external magnetic field. This quantity, known as the magnetotropic susceptibility,
    \U0001D458, relates to the second derivative of the free energy with respect to
    the angle of rotation. We have used approximation-free, auxiliary-field quantum
    Monte Carlo simulations for a realistic model of \U0001D6FC−RuCl3 and optimized
    the path integral to alleviate the negative sign problem. This allows us to reach
    temperatures down to 30K—an energy scale below the dominant Kitaev coupling. We
    demonstrate that the magnetotropic spin susceptibility in this model of \U0001D6FC−RuCl3
    displays scaling behavior \U0001D458=\U0001D447⁢\U0001D453⁡(\U0001D435/\U0001D447)
    at high temperatures. Once the uniform susceptibility departs from the Curie law
    (i.e., at the energy scale of the exchange interactions), it appears to transition
    to an emergent scalinglike behavior, characterized by a different function \U0001D453
    at lower temperatures, stemming from the locality of torque fluctuations. We observe
    a remarkable numerical match between experiment and simulations and we also find
    qualitative agreement with the pure Kitaev model. In comparison, for the XXZ Heisenberg
    Hamiltonian, the scaling \U0001D458=\U0001D447⁢\U0001D453⁡(\U0001D435/\U0001D447)
    breaks down at a temperature scale where the uniform spin susceptibility deviates
    from the Curie law and never reemerges at low temperatures."
acknowledgement: We gratefully acknowledge the Gauss Centre for Supercomputing e.V.
  for funding this project by providing computing time on the GCS Supercomputer SUPERMUC-NG
  at the Leibniz Supercomputing Centre (Project No. pn73xu) as well as the scientific
  support and HPC resources provided by the Erlangen National High Performance Computing
  Center (NHR@FAU) of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
  under the NHR Project b133ae. NHR funding is provided by federal and Bavarian state
  authorities. NHR@FAU hardware is partially funded by the German Research Foundation
  (DFG) – 440719683. T.S. thanks funding from the Deutsche Forschungsgemeinschaft
  under Grant No. SA 3986/1-1 as well as the Würzburg-Dresden Cluster of Excellence
  on Complexity and Topology in Quantum Matter ct.qmat (EXC 2147, Project ID 390858490).
  F.F.A. acknowledges financial support from the German Research Foundation (DFG)
  under the Grant AS 120/16-1 (Project No. 493886309) that is part of the collaborative
  research project SFB Q-M&S funded by the Austrian Science Fund (FWF) F 86. K.A.M.
  thanks financial support from the Austrian Science Fund, SFB F 86, Q-M&S.
article_number: L201114
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Toshihiro
  full_name: Sato, Toshihiro
  last_name: Sato
- first_name: B. J.
  full_name: Ramshaw, B. J.
  last_name: Ramshaw
- first_name: Kimberly A
  full_name: Modic, Kimberly A
  id: 13C26AC0-EB69-11E9-87C6-5F3BE6697425
  last_name: Modic
  orcid: 0000-0001-9760-3147
- first_name: Fakher F.
  full_name: Assaad, Fakher F.
  last_name: Assaad
citation:
  ama: 'Sato T, Ramshaw BJ, Modic KA, Assaad FF. Scale-invariant magnetic anisotropy
    in α-RuCl3: A quantum Monte Carlo study. <i>Physical Review B</i>. 2024;110(20).
    doi:<a href="https://doi.org/10.1103/PhysRevB.110.L201114">10.1103/PhysRevB.110.L201114</a>'
  apa: 'Sato, T., Ramshaw, B. J., Modic, K. A., &#38; Assaad, F. F. (2024). Scale-invariant
    magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study. <i>Physical Review
    B</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.110.L201114">https://doi.org/10.1103/PhysRevB.110.L201114</a>'
  chicago: 'Sato, Toshihiro, B. J. Ramshaw, Kimberly A Modic, and Fakher F. Assaad.
    “Scale-Invariant Magnetic Anisotropy in α-RuCl3: A Quantum Monte Carlo Study.”
    <i>Physical Review B</i>. American Physical Society, 2024. <a href="https://doi.org/10.1103/PhysRevB.110.L201114">https://doi.org/10.1103/PhysRevB.110.L201114</a>.'
  ieee: 'T. Sato, B. J. Ramshaw, K. A. Modic, and F. F. Assaad, “Scale-invariant magnetic
    anisotropy in α-RuCl3: A quantum Monte Carlo study,” <i>Physical Review B</i>,
    vol. 110, no. 20. American Physical Society, 2024.'
  ista: 'Sato T, Ramshaw BJ, Modic KA, Assaad FF. 2024. Scale-invariant magnetic anisotropy
    in α-RuCl3: A quantum Monte Carlo study. Physical Review B. 110(20), L201114.'
  mla: 'Sato, Toshihiro, et al. “Scale-Invariant Magnetic Anisotropy in α-RuCl3: A
    Quantum Monte Carlo Study.” <i>Physical Review B</i>, vol. 110, no. 20, L201114,
    American Physical Society, 2024, doi:<a href="https://doi.org/10.1103/PhysRevB.110.L201114">10.1103/PhysRevB.110.L201114</a>.'
  short: T. Sato, B.J. Ramshaw, K.A. Modic, F.F. Assaad, Physical Review B 110 (2024).
date_created: 2024-12-15T23:01:50Z
date_published: 2024-11-15T00:00:00Z
date_updated: 2025-09-09T11:48:35Z
day: '15'
department:
- _id: KiMo
doi: 10.1103/PhysRevB.110.L201114
external_id:
  arxiv:
  - '2312.03080'
  isi:
  - '001447562900001'
intvolume: '       110'
isi: 1
issue: '20'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2312.03080
month: '11'
oa: 1
oa_version: Preprint
project:
- _id: 34ac8b51-11ca-11ed-8bc3-86c15daa9f8f
  grant_number: F8607
  name: 'Center for Correlated Quantum Materials and Solid State Quantum Systems:
    Scale- invariance in entangled quantum spin systems'
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Scale-invariant magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 110
year: '2024'
...