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

Dielectric signatures of crystal-field and low-temperature correlated dynamics in NdMgAl11O19

Sonu Kumar1,2,3,*, Gaël Bastien2, Maxim Savinov1, Małgorzata Śliwińska-Bartkowiak3, Ross H. Colman2, and Stanislav Kamba1,†

  • *Contact author: sonuwhf@gmail.com
  • †Contact author: kamba@fzu.cz

Phys. Rev. B 114, L111103 – Published 10 August, 2026

DOI: https://doi.org/10.1103/g44t-yhsk

Abstract

We report dielectric spectroscopy of single-crystalline NdMgAl11O19, a magnetoplumbite hexaaluminate in which localized Nd3+ moments coexist with a polarizable AlO5 bipyramidal network. The real part of the permittivity ɛc′(T), measured along the crystallographic c axis, increases as the temperature is lowered from 275 K to 30 K and is frequency-independent between 4 Hz and 50 kHz. At lower temperatures, a frequency-dependent decrease in permittivity is observed, followed by a further upturn below 2 K. The high-frequency ɛc′(T) is described by a Barrett formula supplemented by an effective two-level contribution, yielding a robust gap of Δ=25.9(3)K consistent with the lowest Nd3+ crystal-electric-field (CEF) splitting. Below ∼30K, the dielectric response becomes strongly frequency and magnetic-field dependent. Isothermal ɛc′(H) measurements reveal a reproducible low-field crossover near μ0Hc≃0.85T, which we attribute to the competition between antiferromagnetic correlations and Zeeman splitting of the ground-state Kramers doublet. NdMgAl11O19 thus provides a Kramers reference system in which dielectric signatures of the excited-state CEF manifold can be distinguished from those of the field-tuned, correlation-dominated ground-state doublet in the centrosymmetric frustrated magnetoplumbite host.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (40)

  1. A. P. Ramirez and S. V. Syzranov, Short-range order and hidden energy scale in geometrically frustrated magnets, Mater. Adv. 6, 1213 (2025).
  2. L. Balents, Spin liquids in frustrated magnets, Nature (London) 464, 199 (2010).
  3. L. Savary and L. Balents, Quantum spin liquids: A review, Rep. Prog. Phys. 80, 016502 (2017).
  4. Y.-Y. Qin, Y. Shen, G. Chen, and J. Zhao, Magnetic frustration and quantum fluctuation in rare-earth triangular-lattice magnets, Physics 50, 454 (2021).
  5. M. Xie, W. Zhuo, Y. Cai, Z. Zhang, and Q. Zhang, Rare-earth chalcogenides: An inspiring playground for exploring frustrated magnetism, Chin. Phys. Lett. 41, 117505 (2024).
  6. A. Sethi, J. E. Slimak, T. Kolodiazhnyi, and S. L. Cooper, Emergent vibronic excitations in the magnetodielectric regime of Ce2O3, Phys. Rev. Lett. 122, 177601 (2019).
  7. J. E. Slimak, A. Sethi, T. Kolodiazhnyi, and S. L. Cooper, Soft mode behavior and evidence for pressure-induced magnetostructural effects in Pr2O3, Phys. Rev. Res. 2, 043169 (2020).
  8. B. Singh, M. Vogl, S. Wurmehl, S. Aswartham, B. Büchner, and P. Kumar, Kramers doublets, phonons, crystal-field excitations, and their coupling in Nd2ZnIrO6, Phys. Rev. Res. 2, 023162 (2020).
  9. S. Kumar, G. Bastien, R. H. Colman, M. Savinov, P. Proschek, M. Vališka, M. Kempiński, W. Kempiński, M. Śliwińska-Bartkowiak, and S. Kamba, Crystal-field-driven magnetoelectric coupling in the non-Kramers hexaaluminate PrMgAl11O19, J. Alloys Compd. 1061, 187535 (2026).
  10. S. Kumar, G. Bastien, M. Savinov, P. Proschek, A. Eliáš, K. Załęski, M. Śliwińska-Bartkowiak, R. H. Colman, and S. Kamba, Crystal field driven magnetoelectricity in the triangular quantum magnet CeMgAl11O19, Phys. Rev. B 112, 224431 (2025).
  11. G. Bastien, D. Repček, A. Eliáš, A. Kancko, Q. Courtade, T. Haidamak, M. Savinov, V. Bovtun, M. Kempa, K. Carva, et al., A frustrated antipolar phase analogous to classical spin liquids, Adv. Mater. 36, 2410282 (2024).
  12. K. Kimura, M. Ohgaki, K. Tanaka, H. Morikawa, and F. Marumo, Study of the bipyramidal site in magnetoplumbite-like compounds, SrM12O19 (M = Al, Fe, Ga), J. Solid State Chem. 87, 186 (1990).
  13. N. Iyi, S. Takekawa, and S. Kimura, Refinement of the structure of lead hexaaluminate (PbAl12O19), J. Solid State Chem. 85, 318 (1990).
  14. Y. Li, H. Liao, Z. Zhang, S. Li, F. Jin, L. Ling, L. Zhang, Y. Zou, L. Pi, Z. Yang, J. Wang, Z. Wu, and Q. Zhang, Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO4, Sci. Rep. 5, 16419 (2015).
  15. P. S. Wang and H. J. Xiang, Room-temperature ferrimagnet with frustrated antiferroelectricity: Promising candidate toward multiple-state memory, Phys. Rev. X 4, 011035 (2014).
  16. J. Li, E. A. Medina, J. K. Stalick, A. W. Sleight, and M. A. Subramanian, Structural studies of CaAl12O19, SrAl12O19, La2/3+δAl12−δO19, and CaAl10NiTiO19 with the hibonite structure; indications of an unusual type of ferroelectricity, Z. Naturforsch. B 71, 475 (2016).
  17. S. Kumar, G. Bastien, J. Prokleška, M. Kempiński, W. Kempiński, K. Załęski, A. Kancko, C. A. Corrêa, T. Treu, P. Gegenwart, M. Śliwińska-Bartkowiak, and R. H. Colman, Magnetic anisotropy and absence of long-range order in the triangular magnet NdMgAl11O19, arXiv:2505.18898.
  18. Z. Dun, X. Bai, M. B. Stone, H. Zhou, and M. Mourigal, Effective point-charge analysis of crystal fields: Application to rare-earth pyrochlores and tripod kagome magnets R3Mg2Sb3O14, Phys. Rev. Res. 3, 023012 (2021).
  19. S. Kumar, M. Klicpera, A. Eliáš, M. Kratochvílová, A. Kancko, C. A. Corrêa, K. Załęski, M. Śliwińska-Bartkowiak, R. H. Colman, and G. Bastien, Induced quantum magnetism on a triangular lattice of non-Kramers ions in PrMgAl11O19, Phys. Rev. B 111, 174444 (2025).
  20. S. Kumar, B. Salajová, A. Kancko, C. A. Corrêa, S. Halder, and R. H. Colman, Strongly quenched Kramers doublet magnetism in SmMgAl11O19, Phys. Rev. B 113, 224443 (2026).
  21. G. Bastien, A. Eliáš, V. Anderle, A. Kancko, C. A. Corrêa, S. Kumar, P. Proschek, J. Prokleška, L. Nádherný, D. Sedmidubský, T. Treu, P. Gegenwart, M. Kratochvílová, M. Žonda, and R. H. Colman, Quantum disordered ground state and relative proximity to an exactly solvable model in the frustrated magnet CeMgAl11O19, arXiv:2506.16207.
  22. S. E. Rowley, L. J. Spalek, R. P. Smith, M. P. M. Dean, M. Itoh, J. F. Scott, G. G. Lonzarich, and S. S. Saxena, Ferroelectric quantum criticality, Nat. Phys. 10, 367 (2014).
  23. G. Orenstein, V. Krapivin, Y. Huang, Z. Zhang, G. de la Peña Muñoz, R. A. Duncan, Q. Nguyen, J. Stanton, S. Teitelbaum, H. Yavas, et al., Observation of polarization density waves in SrTiO3, Nat. Phys. 21, 961 (2025).
  24. O. G. Vendik and S. P. Zubko, Modeling the dielectric response of incipient ferroelectrics, J. Appl. Phys. 82, 4475 (1997).
  25. H. Fujishita, S. Kitazawa, M. Saito, R. Ishisaka, H. Okamoto, and T. Yamaguchi, Quantum paraelectric states in SrTiO3 and KTaO3: Barrett model, Vendik model, and quantum criticality, J. Phys. Soc. Jpn. 85, 074703 (2016).
  26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/g44t-yhsk for the derivation of the two-level dielectric contribution, dielectric loss data, Cole–Cole analysis, and a schematic of the low-energy CEF level evolution under field.
  27. L. D. Landau and E. M. Lifshitz, Statistical Physics (Elsevier, Amsterdam, 2013).
  28. F. Reif, Fundamentals of Statistical and Thermal Physics (Waveland Press, Long Grove, IL, 2009).
  29. K. W. H. Stevens, Matrix elements and operator equivalents connected with the magnetic properties of rare earth ions, Proc. Phys. Soc. A 65, 209 (1952).
  30. W. A. Phillips, Tunneling states in amorphous solids, J. Low Temp. Phys. 7, 351 (1972).
  31. W. A. Phillips, Two-level states in glasses, Rep. Prog. Phys. 50, 1657 (1987).
  32. K. R. Lea, M. J. M. Leask, and W. P. Wolf, The raising of angular momentum degeneracy of f-electron terms by cubic crystal fields, J. Phys. Chem. Solids 23, 1381 (1962).
  33. M. T. Hutchings, Point-charge calculations of energy levels of magnetic ions in crystalline electric fields, Solid State Phys. 16, 227 (1964).
  34. B. Bleaney and K. W. H. Stevens, Paramagnetic resonance, Rep. Prog. Phys. 16, 108 (1953).
  35. B. Gao, T. Chen, C. Liu, M. L. Klemm, S. Zhang, Z. Ma, X. Xu, C. Won, G. T. McCandless, K. Rao, et al., Spin excitation continuum from degenerate states in the mixed ferro-antiferromagnetic exchange system CeMgAl11O19, Sci. Adv. 12, eaed7778 (2026).
  36. Y. Cao, H. Bu, Z. Fu, J. Zhao, J. S. Gardner, Z. Ouyang, Z. Tian, Z. Li, and H. Guo, Synthesis, disorder and Ising anisotropy in a new spin liquid candidate PrMgAl11O19, Mater. Futures 3, 035201 (2024).
  37. C. P. Tu, Z. Ma, H. R. Wang, Y. H. Jiao, D. Z. Dai, and S. Y. Li, Gapped quantum spin liquid in a triangular-lattice Ising-type antiferromagnet PrMgAl11O19, Phys. Rev. Res. 6, 043147 (2024).
  38. E. A. Goremychkin, R. Osborn, C. H. Wang, M. D. Lumsden, M. A. McGuire, A. S. Sefat, B. C. Sales, D. Mandrus, H. M. Rønnow, Y. Su, and A. D. Christianson, Spatial inhomogeneity in RFeAsO1−xFx (R=Pr, Nd) determined from rare-earth crystal-field excitations, Phys. Rev. B 83, 212505 (2011).
  39. F. Vayer, S. Petit, F. Damay, J. Embs, S. Rols, C. Colin, E. Lhotel, D. Bounoua, N. Dragoe, D. Bérardan, and C. Decorse, Entropy-stabilized materials as a platform to explore terbium-based pyrochlore frustrated magnets, Commun. Mater. 5, 162 (2024).
  40. J. Jensen and A. R. Mackintosh, Rare Earth Magnetism: Structures and Excitations (Clarendon Press, Oxford, 1991).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation