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Magnetoelastic effects in the metallic frustrated antiferromagnet
Phys. Rev. B 114, 144409 – Published 8 September, 2026
DOI: https://doi.org/10.1103/b4zd-yhkl
Abstract
Hexagonal chromium diboride is a metallic frustrated antiferromagnet with a Néel temperature 88 K. In , Cr electrons not only give rise to localized magnetic moments but also contribute to metallic conduction. We perform ultrasound velocity measurements on a single crystal of hexagonal to determine its elastic properties. The temperature dependence of the -plane shear elastic modulus exhibits Curie-type softening upon cooling from down to . This behavior is interpreted as a precursor to a symmetry-lowering lattice distortion at , indicating that magnetic frustration is relieved via transverse magnetoelastic coupling. In addition, the -axis and -axis compressive elastic moduli show unusual softness and their suppression upon cooling, which are naturally explained by Fermi-surface nesting and its suppression upon cooling. The present results suggest that, in , longitudinal magnetoelastic coupling suppresses Fermi-surface nesting and enhances frustrated exchange interactions, while transverse magnetoelastic coupling plays a key role in relieving the frustration.
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References (55)
- Edited by C. Lacroix, P. Mendels, and F. Mila, Introduction to Frustrated Magnetism: Materials, Experiments, Theory (Springer, Berlin, 2011), Vol. 164.
- C. Lacroix, Frustrated metallic systems: A review of some peculiar behavior, J. Phys. Soc. Jpn. 79, 011008 (2010).
- M. Vojta, Frustration and quantum criticality, Rep. Prog. Phys. 81, 064501 (2018).
- A. Bauer, A. Regnat, C. G. F. Blum, S. Gottlieb-Schönmeyer, B. Pedersen, M. Meven, S. Wurmehl, J. Kuneš, and C. Pfleiderer, Low-temperature properties of single-crystal , Phys. Rev. B 90, 064414 (2014).
- S. Funahashi, Y. Hamaguchi, T. Tanaka, and E. Bannai, Helical magnetic structure in , Solid State Commun. 23, 859 (1977).
- E. Kaya, Y. Kousaka, K. Kakurai, M. Takeda, and J. Akimitsu, Spherical neutron polarimetry studies on the magnetic structure of single crystal (, 0.15), Physica B 404, 2524 (2009).
- P. Park, K. Park, T. Kim, Y. Kousaka, K. H. Lee, T. G. Perring, J. Jeong, U. Stuhr, J. Akimitsu, M. Kenzelmann, and J.-G. Park, Momentum-dependent magnon lifetime in the metallic noncollinear triangular antiferromagnet , Phys. Rev. Lett. 125, 027202 (2020).
- S. H. Liu, L. Kopp, W. B. England, and H. W. Myron, Energy bands, electronic properties, and magnetic ordering of , Phys. Rev. B 11, 3463 (1975).
- X. B. Wang, D. C. Tian, and L. L. Wang, The electronic structure and chemical stability of the -type transition-metal diborides, J. Phys.: Condens. Matter 6, 10185 (1994).
- P. Vajeeston, P. Ravindran, C. Ravi, and R. Asokamani, Electronic structure, bonding, and ground-state properties of -type transition-metal diborides, Phys. Rev. B 63, 045115 (2001).
- M. Brasse, L. Chioncel, J. Kuneš, A. Bauer, A. Regnat, C. G. F. Blum, S. Wurmehl, C. Pfleiderer, M. A. Wilde, and D. Grundler, De Haas–van Alphen effect and Fermi surface properties of single-crystal , Phys. Rev. B 88, 155138 (2013).
- S. Biswas, A. Kreisel, A. Valadkhani, M. Dürrnagel, T. Schwemmer, R. Thomale, R. Valentí, and I. I. Mazin, Hybrid -wave superconductivity in , Phys. Rev. B 108, L020501 (2023).
- Y. Wang, Heavy fermions in frustrated Hund's metal with portions of incipient flat bands, Phys. Rev. B 111, 035127 (2025).
- Y. Nishihara, M. Tokumoto, Y. Yamaguchi, and S. Ogawa, Magneto-volume effect of the itinerant-electron antiferromagnet , J. Phys. Soc. Jpn. 56, 1562 (1987).
- Y. Yamashita and K. Ueda, Spin-driven Jahn-Teller distortion in a pyrochlore system, Phys. Rev. Lett. 85, 4960 (2000).
- O. Tchernyshyov, R. Moessner, and S. L. Sondhi, Order by distortion and string modes in pyrochlore antiferromagnets, Phys. Rev. Lett. 88, 067203 (2002).
- G. A. Gehring and K. A. Gehring, Co-operative Jahn-Teller effects, Rep. Prog. Phys. 38, 1 (1975).
- S.-H. Lee, C. Broholm, T. H. Kim, W. Ratcliff II, and S. W. Cheong, Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet, Phys. Rev. Lett. 84, 3718 (2000).
- L. Ortega-San-Martın, A. J. Williams, C. D. Gordon, S. Klemme, and J. P. Attfield, Low temperature neutron diffraction study of spinel, J. Phys.: Condens. Matter 20, 104238 (2008).
- J.-H. Chung, M. Matsuda, S.-H. Lee, K. Kakurai, H. Ueda, T. J. Sato, H. Takagi, K.-P. Hong, and S. Park, Statics and dynamics of incommensurate spin order in a geometrically frustrated antiferromagnet , Phys. Rev. Lett. 95, 247204 (2005).
- T. Watanabe, S. I. Ishikawa, H. Suzuki, Y. Kousaka, and K. Tomiyasu, Observation of elastic anomalies driven by coexisting dynamical spin Jahn-Teller effect and dynamical molecular-spin state in the paramagnetic phase of frustrated , Phys. Rev. B 86, 144413 (2012).
- F. K. K. Kirschner, R. D. Johnson, F. Lang, D. D. Khalyavin, P. Manuel, T. Lancaster, D. Prabhakaran, and S. J. Blundell, Spin Jahn-Teller antiferromagnetism in , Phys. Rev. B 99, 064403 (2019).
- T. Watanabe, K. Takayanagi, R. Nishimura, Y. Hara, D. Prabhakaran, R. D. Johnson, and S. J. Blundell, Elastic softness of low-symmetry frustrated (, Fe), Phys. Rev. B 111, 024426 (2025).
- K. Guratinder, R. D. Johnson, D. Prabhakaran, R. A. Taylor, F. Lang, S. J. Blundell, L. S. Taran, S. V. Streltsov, T. J. Williams, S. R. Giblin, T. Fennell, K. Schmalzl, and C. Stock, Magnetoelastic dynamics of the spin Jahn-Teller transition in , Phys. Rev. Lett. 134, 256702 (2025).
- W. Kohn, Image of the Fermi surface in the vibration spectrum of a metal, Phys. Rev. Lett. 2, 393 (1959).
- B. Lüthi, Physical Acoustics in the Solid State (Springer, Berlin, 2005).
- B. Lüthi and W. Rehwald, in Structural Phase Transitions I (Springer, Berlin, 1981), p. 131.
- Y. Kino, B. Lüthi, and M. E. Mullen, Cooperative Jahn-Teller phase transition in the nickel-zinc-chromite system, J. Phys. Soc. Jpn. 33, 687 (1972); Elastic properties and cooperative Jahn-Teller effect in nickel chromite, Solid State Commun. 12, 275 (1973).
- M. Kataoka and J. Kanamori, A theory of the cooperative Jahn-Teller effect –Crystal distortions in and –, J. Phys. Soc. Jpn. 32, 113 (1972).
- H. Hazama, T. Goto, Y. Nemoto, Y. Tomioka, A. Asamitsu, and Y. Tokura, Quadrupolar effect in the perovskite manganite , Phys. Rev. B 62, 15012 (2000).
- Y. Nii, N. Abe, and T.-h. Arima, Orbital-spin-coupled fluctuations in spinel vanadate , Phys. Rev. B 87, 085111 (2013).
- T. Watanabe, T. Ishikawa, S. Hara, A. T. M. Nazmul Islam, E. M. Wheeler, and B. Lake, Multiple lattice instabilities resolved by magnetic-field and disorder sensitivities in , Phys. Rev. B 90, 100407(R) (2014).
- T. Watanabe, S. Kobayashi, Y. Hara, J. Xu, B. Lake, J.-Q. Yan, A. Niazi, and D. C. Johnston, Orbital- and spin-driven lattice instabilities in quasi-one-dimensional , Phys. Rev. B 98, 094427 (2018).
- S. Bhattacharjee, S. Zherlitsyn, O. Chiatti, A. Sytcheva, J. Wosnitza, R. Moessner, M. E. Zhitomirsky, P. Lemmens, V. Tsurkan, and A. Loidl, Interplay of spin and lattice degrees of freedom in the frustrated antiferromagnet : High-field and temperature-induced anomalies of the elastic constants, Phys. Rev. B 83, 184421 (2011).
- T. Watanabe, S. Hara, and S. I. Ikeda, Jahn-Teller inactivity and magnetic frustration in probed by ultrasound velocity measurements, Phys. Rev. B 78, 094420 (2008).
- T. Watanabe, S. Hara, S. I. Ikeda, and K. Tomiyasu, Elastic instabilities in an antiferromagnetically ordered phase of the orbitally frustrated spinel , Phys. Rev. B 84, 020409(R) (2011).
- T. Watanabe, S. Yamada, R. Koborinai, and T. Katsufuji, Variety of elastic anomalies in an orbital-active nearly itinerant cobalt vanadate spinel, Phys. Rev. B 96, 014422 (2017).
- T. Watanabe, S. Takita, K. Tomiyasu, and K. Kamazawa, Acoustic study of dynamical molecular-spin state without magnetic phase transition in spin-frustrated , Phys. Rev. B 92, 174420 (2015).
- T. Watanabe, H. Kato, Y. Hara, J. W. Krizan, and R. J. Cava, Softening of breathing elastic mode and trigonal elastic mode in the disordered pyrochlore magnet , Phys. Rev. B 101, 214425 (2020).
- T. Watanabe, R. Okada, and K. Tomiyasu, Symmetry-resolved elastic anomalies in spin-crossover cobaltite , Phys. Rev. B 106, 144432 (2022).
- W. M. Shaw and L. D. Muhlestein, Investigation of the phonon dispersion relations of chromium by inelastic neutron scattering, Phys. Rev. B 4, 969 (1971).
- D. Lamago, M. Hoesch, M. Krisch, R. Heid, K.-P. Bohnen, P. Böni, and D. Reznik, Measurement of strong phonon softening in Cr with and without Fermi-surface nesting by inelastic x-ray scattering, Phys. Rev. B 82, 195121 (2010).
- B. M. Powell, P. Martel, and A. D. B. Woods, Lattice dynamics of niobium-molybdenum alloys, Phys. Rev. 171, 727 (1968).
- D. L. Farber, M. Krisch, D. Antonangeli, A. Beraud, J. Badro, F. Occelli, and D. Orlikowski, Lattice dynamics of molybdenum at high pressure, Phys. Rev. Lett. 96, 115502 (2006).
- C. Yang, Y. Zhang, N. P. Salke, Y. Bi, A. Alatas, A. H. Said, J. Hong, and J.-F. Lin, Kohn anomaly and elastic softening in body-centered cubic molybdenum at high pressure, Phys. Rev. B 105, 094105 (2022).
- Y. Zhang, C. Yang, A. Alatas, A. H. Said, N. P. Salke, J. Hong, and J.-F. Lin, Pressure effect on Kohn anomaly and electronic topological transition in single-crystal tantalum, Phys. Rev. B 100, 075145 (2019).
- S. Wang, S. Thébaud, D. H. Moseley, J. R. Torres, M. E. Manley, Y. Cheng, S. Chi, D. L. Abernathy, G. E. Granroth, A. T. Savici, et al., Kohn anomalies and phonon anharmonicity in iridium, Phys. Rev. B 112, 184305 (2025).
- C. Stassis, M. Bullock, J. Zarestky, P. Canfield, A. I. Goldman, G. Shirane, and S. M. Shapiro, Phonon mode coupling in superconducting , Phys. Rev. B 55, R8678 (1997).
- S. Isida, A. Matsushita, H. Takeya, and M. Suzuki, Ultrasonic study on superconducting , Physica C 349, 150 (2001).
- Y. P. Varshni, Temperature dependence of the elastic constants, Phys. Rev. B 2, 3952 (1970).
- R. M. Bozorth, Ferromagnetism (Van Nostrand, Princeton, NJ, 1951).
- P. S. Spoor, J. D. Maynard, M. J. Pan, D. J. Green, J. R. Hellmann, and T. Tanaka, Elastic constants and crystal anisotropy of titanium diboride, Appl. Phys. Lett. 70, 1959 (1997).
- N. L. Okamoto, M. Kusakari, K. Tanaka, H. Inui, M. Yamaguchi, and S. Otani, Temperature dependence of thermal expansion and elastic constants of single crystals of and the suitability of as a substrate for GaN film, J. Appl. Phys. 93, 88 (2003).
- C. Pei, P. Yang, C. Gong, Q. Wang, Y. Zhao, L. Gao, K. Chen, Q. Yin, S. Tian, C. Li, W. Cao, H. Lei, J. Cheng, and Y. Qi, Pressure-induced superconductivity in itinerant antiferromagnet , arXiv:2109.15213.
- A. Regnat, Low-temperature properties and magnetic structure of , and CuMnSb, Ph.D. thesis, Technical University of Munich, 2019.