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Scientific ReportsVolume 7, Issue 1, 1 December 2017, Article number 4058

The Bethe-Slater curve revisited; new insights from electronic structure theory(Article)(Open Access)

  • Cardias, R.,
  • Szilva, A.,
  • Bergman, A.,
  • Di Marco, I.,
  • Katsnelson, M.I.,
  • Lichtenstein, A.I.,
  • Nordström, L.,
  • Klautau, A.B.,
  • Eriksson, O.,
  • Kvashnin, Y.O.
  • View Correspondence (jump link)
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  • aFaculdade de Fisica, Universidade Federal do Para, Belem, PA, Brazil
  • bDepartment of Physics and Astronomy, Division of Materials Theory, Uppsala University, Box 516, Uppsala, SE-75120, Sweden
  • cRadboud University of Nijmegen, Institute for Molecules and Materials, Heijendaalseweg 135, Nijmegen, 6525 AJ, Netherlands
  • dTheoretical Physics and Applied Mathematics Department, Ural Federal University, Mira Str.19, Ekaterinburg, 620002, Russian Federation
  • eInstitute of Theoretical Physics, University of Hamburg, Jungiusstrasse 9, Hamburg, 20355, Germany

Erratum: The Bethe-Slater curve revisited; New insights from electronic structure theory (Scientific Reports (2017) 7 (4058) DOI: 10.1038/s41598-017-04427-9)

(2017) Scientific Reports, 7 (1), Article number 14878

Abstract

The Bethe-Slater (BS) curve describes the relation between the exchange coupling and interatomic distance. Based on a simple argument of orbital overlaps, it successfully predicts the transition from antiferromagnetism to ferromagnetism, when traversing the 3d series. In a previous article [Phys. Rev. Lett. 116, 217202 (2016)] we reported that the dominant nearestneighbour (NN) interaction for 3d metals in the bcc structure indeed follows the BS curve, but the trends through the series showed a richer underlying physics than was initially assumed. The orbital decomposition of the inter-site exchange couplings revealed that various orbitals contribute to the exchange interactions in a highly non-trivial and sometimes competitive way. In this communication we perform a deeper analysis by comparing 3d metals in the bcc and fcc structures. We find that there is no coupling between the Eg orbitals of one atom and T2g orbitals of its NNs, for both cubic phases. We demonstrate that these couplings are forbidden by symmetry and formulate a general rule allowing to predict when a similar situation is going to happen. In γ-Fe, as in α-Fe, we find a strong competition in the symmetry-resolved orbital contributions and analyse the differences between the high-spin and low-spin solutions. © 2017 The Author(s).

Indexed keywords

EMTREE medical terms:competitioncross coupling reactiondecompositionorbitphysics

Funding details

Funding sponsor Funding number Acronym
Seventh Framework Programme338957FP7
European Research CouncilERC
Deutsche Forschungsgemeinschaft
See opportunities by DFG
SFB-668DFG
Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorCAPES
Conselho Nacional de Desenvolvimento Científico e TecnológicoCNPq
Knut och Alice Wallenbergs Stiftelse
VetenskapsrådetVR
  • 1

    Y.K. is grateful to Patrick Bruno (ESRF) for useful discussions. The authors acknowledge the computational resources provided by the Swedish National Infrastructure for Computing (SNIC) and Uppsala Multidisciplinary Center for Advanced Computational Science (UPPMAX). R.C. and A.B.K. acknowledge financial support from CAPES and CNPq, Brazil. M.I.K. acknowledges support from ERC Advanced Grant No. 338957 FEMTO/NANO. A.I.L. acknowledges the support of DFG SFB-668 and the excellence cluster CUI. O.E. acknowledges the support provided by Swedish Research Council (VR) and Knut and Alice Wallenberg Foundation (KAW).

  • ISSN: 20452322
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1038/s41598-017-04427-9
  • PubMed ID: 28642615
  • Document Type: Article
  • Publisher: Nature Publishing Group

  Cardias, R.; Faculdade de Fisica, Universidade Federal do Para, Belem, PA, Brazil;
© Copyright 2018 Elsevier B.V., All rights reserved.

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