- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Research

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Quadrupole moments and their interactions in the triangular lattice antiferromagnet FeI2

Gang Chen

  • International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China and Department of Physics and HKU-UCAS Joint Institute for Theoretical and Computational Physics at Hong Kong, The University of Hong Kong, Hong Kong, China

PDF

Phys. Rev. Research 5, L032042 – Published 25 September, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L032042

Abstract

Motivated by the recent experiments on the triangular lattice antiferromagnet FeI2, we consider the presence of the quadrupole moments and their interactions between the spin-orbital-entangled local moments. In addition to the anisotropic pairwise interaction between the local moments, the interaction between the quadrupole moment arises from the interaction of the orbital occupation configurations. This is argued primarily from the time-reversal symmetry and the different orbital configurations via their exchange paths. We discuss the implication of these interactions and expect this result to be complementary to the existing works in this system and other systems alike.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (30)

  1. G. Chen and C. Wu, Mott insulators with large local Hilbert spaces in quantum materials and ultracold atoms, arXiv:2112.02630 [cond-mat.str-el].
  2. D. Chowdhury, A. Georges, O. Parcollet, and S. Sachdev, Sachdev-Ye-Kitaev models and beyond: Window into non-Fermi liquids, Rev. Mod. Phys. 94, 035004 (2022).
  3. P. Coleman, Heavy fermions: Electrons at the edge of magnetism, in Handbook of Magnetism and Advanced Magnetic Materials (John Wiley & Sons, Ltd, 2007).
  4. W. Witczak-Krempa, G. Chen, Y. B. Kim, and L. Balents, Correlated Quantum Phenomena in the Strong Spin-Orbit Regime, Annu. Rev. Condens. Matter Phys. 5, 57 (2014).
  5. S.-S. Lee and P. A. Lee, U(1) Gauge Theory of the Hubbard Model: Spin Liquid States and Possible Application to κ−(BEDT−TTF)2Cu2(CN)3, Phys. Rev. Lett. 95, 036403 (2005).
  6. T. Senthil, Theory of a continuous Mott transition in two dimensions, Phys. Rev. B 78, 045109 (2008).
  7. K. I. Kugel' and D. I. Khomskĭ, The Jahn-Teller effect and magnetism: transition metal compounds, Soviet Physics Uspekhi 25, 231 (1982).
  8. G. Chen and L. Balents, Spin-orbit effects in Na4Ir3O8: A hyper-kagome lattice antiferromagnet, Phys. Rev. B 78, 094403 (2008).
  9. G. Jackeli and G. Khaliullin, Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models, Phys. Rev. Lett. 102, 017205 (2009).
  10. G. Chen, R. Pereira, and L. Balents, Exotic phases induced by strong spin-orbit coupling in ordered double perovskites, Phys. Rev. B 82, 174440 (2010).
  11. S. Onoda and Y. Tanaka, Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality, Phys. Rev. Lett. 105, 047201 (2010).
  12. Y.-P. Huang, G. Chen, and M. Hermele, Quantum Spin Ices and Topological Phases from Dipolar-Octupolar Doublets on the Pyrochlore Lattice, Phys. Rev. Lett. 112, 167203 (2014).
  13. H. R. Molavian, M. J. P. Gingras, and B. Canals, Dynamically Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects, Phys. Rev. Lett. 98, 157204 (2007).
  14. G. Chen and L. Balents, Spin-orbit coupling in d2 ordered double perovskites, Phys. Rev. B 84, 094420 (2011).
  15. Y. Li, G. Chen, W. Tong, L. Pi, J. Liu, Z. Yang, X. Wang, and Q. Zhang, Rare-Earth Triangular Lattice Spin Liquid: A Single-Crystal Study of YbMgGaO4, Phys. Rev. Lett. 115, 167203 (2015).
  16. Y.-D. Li, X. Wang, and G. Chen, Anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets, Phys. Rev. B 94, 035107 (2016).
  17. Y.-D. Li, Y.-M. Lu, and G. Chen, Spinon Fermi surface U(1) spin liquid in the spin-orbit-coupled triangular-lattice Mott insulator YbMgGaO4, Phys. Rev. B 96, 054445 (2017).
  18. H. Liu and G. Khaliullin, Pseudospin exchange interactions in d7 cobalt compounds: Possible realization of the kitaev model, Phys. Rev. B 97, 014407 (2018).
  19. R. Sano, Y. Kato, and Y. Motome, Kitaev-Heisenberg Hamiltonian for high-spin d7 Mott insulators, Phys. Rev. B 97, 014408 (2018).
  20. G. Jackeli and G. Khaliullin, Magnetically Hidden Order of Kramers Doublets in d1 Systems: Sr2VO4, Phys. Rev. Lett. 103, 067205 (2009).
  21. X. Bai, S.-S. Zhang, Z. Dun, H. Zhang, Q. Huang, H. Zhou, M. B. Stone, A. I. Kolesnikov, F. Ye, C. D. Batista, and M. Mourigal, Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2, Nat. Phys. 17, 467 (2021).
  22. M. E. Brooks-Bartlett, S. T. Banks, L. D. C. Jaubert, A. Harman-Clarke, and P. C. W. Holdsworth, Magnetic-Moment Fragmentation and Monopole Crystallization, Phys. Rev. X 4, 011007 (2014).
  23. O. Benton, Quantum origins of moment fragmentation in Nd2Zr2O7, Phys. Rev. B 94, 104430 (2016).
  24. G. Khaliullin, Excitonic Magnetism in Van Vleck–type d4 Mott Insulators, Phys. Rev. Lett. 111, 197201 (2013).
  25. F.-Y. Li and G. Chen, Competing phases and topological excitations of spin-1 pyrochlore antiferromagnets, Phys. Rev. B 98, 045109 (2018).
  26. F.-Y. Li and G. Chen, Spin-orbital entanglement in d8 mott insulators: Possible excitonic magnetism in diamond lattice antiferromagnets, Phys. Rev. B 100, 045103 (2019).
  27. J. Q. Liu, F.-Y. Li, G. Chen, and Z. Wang, Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet, Phys. Rev. Res. 2, 033260 (2020).
  28. A. Legros, S.-S. Zhang, X. Bai, H. Zhang, Z. Dun, W. A. Phelan, C. D. Batista, M. Mourigal, and N. P. Armitage, Observation of 4- and 6-Magnon Bound States in the Spin-Anisotropic Frustrated Antiferromagnet FeI2, Phys. Rev. Lett. 127, 267201 (2021).
  29. K. Katsumata, H. A. Katori, S. Kimura, Y. Narumi, M. Hagiwara, and K. Kindo, Phase transition of a triangular lattice Ising antiferromagnet FeI2, Phys. Rev. B 82, 104402 (2010).
  30. T. Kurumaji, S. Seki, S. Ishiwata, H. Murakawa, Y. Kaneko, and Y. Tokura, Magnetoelectric responses induced by domain rearrangement and spin structural change in triangular-lattice helimagnets NiI2 and CoI2, Phys. Rev. B 87, 014429 (2013).

Outline

Information

Phys. Rev. Research 5, L032042– Published 25 September, 2023
  • Received 5 July 2023
  • Accepted 29 August 2023
Crossmark - Check for updates button
Creative Commons Logo

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.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation