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  • Letter
  • Open Access

Quantum spin systems: Toroidal classification and geometric duality

Vahid Azimi-Mousolou1,2,*, Anders Bergman2, Anna Delin3,4,5, Olle Eriksson2,6, Manuel Pereiro2, Danny Thonig7, and Erik Sjöqvist2,†

  • *Contact author: vahid.azimi-mousolou@physics.uu.se
  • †Contact author: erik.sjoqvist@physics.uu.se
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Phys. Rev. B 110, L140403 – Published 4 October, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.L140403

Abstract

We demonstrate a toroidal classification for quantum spin systems, revealing an intrinsic geometric duality within this structure. Through our classification and duality, we reveal that various bipartite quantum features in magnon systems can manifest equivalently in both bipartite ferromagnetic and antiferromagnetic materials, based upon the availability of relevant Hamiltonian parameters. Additionally, the results highlight the antiferromagnetic regime as an ultrafast dual counterpart to the ferromagnetic regime, both exhibiting identical capabilities for quantum spintronics and technological applications. Concrete illustrations are provided, demonstrating how splitting and squeezing types of two-mode magnon quantum correlations can be realized across ferro- and antiferromagnetic regimes.

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Phys. Rev. B 110, L140403– Published 4 October, 2024
  • Received 19 June 2024
  • Revised 16 August 2024
  • Accepted 19 September 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by Bibsam.

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