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Interplay of lattice geometry, crystal electric field, and complex magnetism on the triangular-net TbAl2Ge2

Atreyee Das1, Ishan Kollipara1, Tyler Barton2, Qiai Lan1, Jordan T. Miller1, and Ryan E. Baumbach1,2

  • 1Department of Physics, UC Santa Cruz, Santa Cruz, California 95060, USA
  • 2Department of Material Science and Engineering, UC Santa Cruz, Santa Cruz, California 95060, USA

Phys. Rev. B 114, 154401 – Published 2 September, 2026

DOI: https://doi.org/10.1103/5bbt-q2t7

Abstract

Metallic systems with geometrically frustrated magnetic lattices are of considerable interest due to the exotic ground states that emerge from competing interactions and structural constraints that suppress conventional magnetic order. Here we report the synthesis and magnetic phase diagram of a suitable candidate, TbAl2Ge2 in a single-crystalline form, where the Tb atoms form a triangular-net arrangement. Magnetization, heat capacity, and electrical resistivity measurements establish an antiferromagnetic ground state in the system with two transitions at TN1 15 K and TN2  11 K, while applied magnetic fields reveal a rich temperature-magnetic field (TH) phase diagram. Both TN1 and TN2 get suppressed monotonically with increasing H, but the magnetic easy plane (Hc) has an additional magnetic phase intermediate between the two phases bounded by TN1 and TN2. The transition of the AFM spins to a spin polarized state at relatively low magnetic fields motivated us to evaluate TbAl2Ge2 for the magnetocaloric effect. We obtain moderate values of magnetoentropy, rotational magnetocaloric effect, and relative cooling power in this system.

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References (48)

  1. A. P. Ramirez, Strongly geometrically frustrated magnets, Annu. Rev. Mater. Sci. 24, 453 (1994).
  2. C. Lacroix, P. Mendels, and F. Mila, Introduction to Frustrated Magnetism: Materials, Experiments, Theory (Springer Science & Business Media, 2011).
  3. P. Mendels and F. Bert, Quantum kagome antiferromagnet ZnCu3(OH)6Cl2, J. Phys. Soc. Jpn. 79, 011001 (2010).
  4. T.-H. Han, J. S. Helton, S. Chu, D. G. Nocera, J. A. Rodriguez-Rivera, C. Broholm, and Y. S. Lee, Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet, Nature (London) 492, 406 (2012).
  5. S. T. Bramwell and M. J. P. Gingras, Spin ice state in frustrated magnetic pyrochlore materials, Science 294, 1495 (2001).
  6. R. Coldea, D. A. Tennant, A. M. Tsvelik, and Z. Tylczynski, Experimental realization of a 2D fractional quantum spin liquid, Phys. Rev. Lett. 86, 1335 (2001).
  7. M. A. Ruderman and C. Kittel, Indirect exchange coupling of nuclear magnetic moments by conduction electrons, Phys. Rev. 96, 99 (1954).
  8. T. Kasuya, A theory of metallic ferro-and antiferromagnetism on Zener's model, Prog. Theor. Phys. 16, 45 (1956).
  9. K. Yosida, Magnetic properties of Cu-Mn alloys, Phys. Rev. 106, 893 (1957).
  10. B. R. Ortiz, S. M. L. Teicher, Y. Hu, J. L. Zuo, P. M. Sarte, E. C. Schueller, A. M. M. Abeykoon, M. J. Krogstad, S. Rosenkranz, R. Osborn, et al., CsV3Sb5: A Z2 topological kagome metal with a superconducting ground state, Phys. Rev. Lett. 125, 247002 (2020).
  11. X. Teng, L. Chen, F. Ye, E. Rosenberg, Z. Liu, J.-X. Yin, Y.-X. Jiang, J. S. Oh, M. Z. Hasan, K. J. Neubauer, et al., Discovery of charge density wave in a kagome lattice antiferromagnet, Nature (London) 609, 490 (2022).
  12. A. Das, S. Mohamed, R. A. Ribeiro, T. J. Slade, J. Schmidt, C. Setty, S. L. Bud'ko, and P. C. Canfield, Quantum critical point followed by Kondo-like behavior due to Cu substitution in the itinerant antiferromagnet La2(CuxNi1x)7, Phys. Rev. B 113, 085114 (2026).
  13. T. Kurumaji, T. Nakajima, M. Hirschberger, A. Kikkawa, Y. Yamasaki, H. Sagayama, H. Nakao, Y. Taguchi, T.-h. Arima, and Y. Tokura, Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet, Science 365, 914 (2019).
  14. E. I. Gladyshevskii, Crystal structure of CaAl2Si2 and its analogs(Crystal structure and phase relationship of calcium-aluminum-silicon system), 1967. 447 (1967).
  15. C. Zheng and R. Hoffmann, Complementary local and extended views of bonding in the ThCr2Si2 and CaAl2Si2 structures, J. Solid State Chem. 72, 58 (1988).
  16. C. Kranenberg, D. Johrendt, A. Mewis, R. Pöttgen, G. Kotzyba, C. Rosenhahn, and B. D. Mosel, Structure and properties of the compounds LnAl2X2 (Ln = Eu, Yb; X = Si, Ge), Solid State Sci. 2, 215 (2000).
  17. P. Schobinger-Papamantellos and F. Hulliger, The magnetic structure of EuAl2Si2, J. Less-Common Met. 146, 327 (1989).
  18. S. Pakhira, A. K. Kundu, F. Islam, M. A. Tanatar, T. Roy, T. Heitmann, T. Yilmaz, E. Vescovo, M. Tsujikawa, M. Shirai, et al., Anisotropic magnetism and electronic structure of trigonal EuAl2Ge2 single crystals, Phys. Rev. B 107, 134439 (2023).
  19. K. Feng, M. G. Anderson, M. Rosmus, A. Antezak, C. Farago, E. Frantzeskakis, F. Fortuna, A. F. Santander-Syro, G. T. McCandless, J. Y. Chan, and R. E. Baumbach, Complex magnetic transitions in the triangular net compound GdAl2Ge2, Phys. Rev. B 113, 144430 (2026).
  20. F. Gao, W. Ren, H. Wu, M. An, X. Zhao, B. Li, and Z. Zhang, Magnetic properties and magnetocaloric effect of a metallic triangular lattice antiferromagnetic DyAl2Ge2 single crystal, J. Solid State Chem. 328, 124347 (2023).
  21. M. Matin, R. Mondal, A. Thamizhavel, A. Provino, P. Manfrinetti, and S. K. Dhar, Single crystal growth and anisotropic magnetic properties of HoAl2Ge2, AIP Adv. 8, 055709 (2018).
  22. F. Gao, J. Sheng, W. Ren, Q. Zhang, X. Luo, J. Qi, M. Cong, B. Li, L. Wu, and Z. Zhang, Incommensurate spin density wave and magnetocaloric effect in the metallic triangular lattice HoAl2Ge2, Phys. Rev. B 106, 134426 (2022).
  23. M. Nandi, A. Thamizhavel, and S. K. Dhar, Anisotropic magnetic properties of trigonal ErAl2Ge2 single crystal, J. Phys.: Condens. Matter 32, 185803 (2020).
  24. F. Gao, W. Ren, Y. Zhuang, X. Zhao, B. Li, and Z. Zhang, Magnetocaloric effect of an antiferromagnetic ErAl2Ge2 single crystal, J. Magn. Magn. Mater. 533, 168014 (2021).
  25. HengHeng Wu, W. Ren, C.-W. Wang, M. Cong, H. Ge, L. Wu, F. Gao, M. An, B. Li, and Z. Zhang, Possible coexistence of non-Fermi liquid behavior and incommensurate spin density wave in the triangular lattice compound TbAl2Si2, Phys. Rev. B 113, 054414 (2026).
  26. P. C. Canfield, New materials physics, Rep. Prog. Phys. 83, 016501 (2020).
  27. H. Okamoto, Al-Ge (aluminum-germanium), J. Phase Equilib. 14, 118 (1993).
  28. P. C. Canfield, T. Kong, U. S. Kaluarachchi, and N. H. Jo, Use of frit-disc crucibles for routine and exploratory solution growth of single crystalline samples, Philos. Mag. 96, 84 (2016).
  29. LSP Industrial Ceramics, https://www.lspceramics.com (2016).
  30. B. H. Toby and R. B. Von Dreele, GSAS-II: The genesis of a modern open-source all purpose crystallography software package, J. Appl. Crystallogr. 46, 544 (2013).
  31. C. Kranenberg, D. Johrendt, and A. Mewis, The stability range of the CaAl2Si2-type structure in case of LnAl2Ge2 compounds, Solid State Sci. 4, 261 (2002).
  32. K. Momma and F. Izumi, VESTA for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Crystallogr. 44, 1272 (2011).
  33. M. E. Fisher and J. S. Langer, Resistive anomalies at magnetic critical points, Phys. Rev. Lett. 20, 665 (1968).
  34. R. J. Elliott and F. A. Wedgwood, Theory of the resistance of the rare earth metals, Proc. Phys. Soc. 81, 846 (1963).
  35. P. Monceau, Electronic crystals: An experimental overview, Adv. Phys. 61, 325 (2012).
  36. S. L. Bud'ko and P. C. Canfield, Rotational tuning of Hc2 anomalies in ErNi2B2C: Angular-dependent superzone gap formation and its effect on the superconducting ground state, Phys. Rev. B 61, R14932(R) (2000).
  37. K. Feng, I. A. Leahy, O. Oladehin, K. Wei, M. Lee, and R. Baumbach, Magnetic ordering in GdAuAl4Ge2 and TbAuAl4Ge2: Layered compounds with triangular lanthanide nets, J. Magn. Magn. Mater. 564, 170006 (2022).
  38. M. Bouvier, P. Lethuillier, and D. Schmitt, Specific heat in some gadolinium compounds. I. Experimental, Phys. Rev. B 43, 13137 (1991).
  39. M. Cong, H. Ge, L. Zhang, W. Ren, N. Zhao, T. Li, S. Wang, J. Zhu, J. Mei, Q. Zhang, et al., Magnetic phase diagram and multiple field-induced states in the intermetallic triangular-lattice antiferromagnet NdAuAl4Ge2 with Ising-like spins, X Phys. Rev. Mater. 7, 024423 (2023).
  40. R. Kumar, K. E. Avers, V. Saini, D. S. Sokratov, Y. Anand, P. Saraf, J. A. Horn, N. Brenowitz, S. Otazo, P. Sobel, et al., Anisotropic metamagnetism and magnetotransport of heavy rare-earth orthorhombic single-crystal TbAlGe, Phys. Rev. B 113, 174423 (2026).
  41. G. Porcari, F. Cugini, S. Fabbrici, C. Pernechele, F. Albertini, M. Buzzi, M. Mangia, and M. Solzi, Convergence of direct and indirect methods in the magnetocaloric study of first order transformations: The case of Ni-Co-Mn-Ga Heusler alloys, Phys. Rev. B 86, 104432 (2012).
  42. J. D. Bocarsly, R. F. Need, R. Seshadri, and S. D. Wilson, Magnetoentropic signatures of skyrmionic phase behavior in FeGe, Phys. Rev. B 97, 100404(R) (2018).
  43. L. Li and M. Yan, Recent progresses in exploring the rare earth based intermetallic compounds for cryogenic magnetic refrigeration, J. Alloys Compd. 823, 153810 (2020).
  44. V. K. Pecharsky and K. A. Gschneidner Jr, Magnetocaloric effect and magnetic refrigeration, J. Magn. Magn. Mater. 200, 44 (1999).
  45. L.-W. Li, Review of magnetic properties and magnetocaloric effect in the intermetallic compounds of rare earth with low boiling point metals, Chin. Phys. B 25, 037502 (2016).
  46. X. Zhao, X. Zheng, J. Qi, X. Luo, S. Ma, S. U. Rehman, W. Ren, C. Chen, and Z. Zhong, Anisotropic magnetocaloric effect and magnetoresistance in antiferromagnetic HoNiGe3 single crystal, Intermetallics 138, 107307 (2021).
  47. D. Gignoux and D. Schmitt, Frustration in rare earth intermetallic compounds, J. Alloys Compd. 326, 143 (2001).
  48. A. Das, I. Kollipara, T. Barton, R. E. Baumbach, Q. Lan, and J. T. Miller, Dataset: Interplay of lattice geometry, crystal electric field, and complex magnetism on the triangular-net TbAl2Ge2 [Dataset], Zenodo, 2026, https://doi.org/10.5281/zenodo.20767290.

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