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
  • Editors' Suggestion
  • Open Access

Origin of the magnetic ground state of Tb2Ir2O7

Y. Alexanian1,2,*, E. Lhotel1, J. Robert1, S. Petit3, E. Lefrançois1, P. Lejay1, A. Hadj-Azzem1, F. Damay3, J. Ollivier2 et al.

B. Fåk2, S. De Brion1, R. Ballou1, and V. Simonet1,†

  • *Contact author: yann.alexanian@neel.cnrs.fr
  • †Contact author: virginie.simonet@neel.cnrs.fr

Phys. Rev. Research 8, 043060 – Published 16 October, 2026

DOI: https://doi.org/10.1103/x6n8-hz3k

Abstract

Magnetic-rare-earth pyrochlore iridates exhibit a rich variety of unconventional phases, driven by the complex interactions within and between the rare-earth and the iridium sublattices. In this study, we investigate the peculiar magnetic state of Tb2Ir2O7, where a component of the Tb3+ moment orders perpendicular to its local Ising anisotropy axis. By means of neutron diffraction and inelastic neutron scattering down to dilution temperatures, complemented by specific heat measurements, we show that this intriguing magnetic state is fully established at 1.5K and we characterize its excitation spectrum across a broad range of energies. Our calculations reveal that bilinear interactions between Tb3+ ions subjected to the Ir molecular field capture several key features of the experiments, but need to be supplemented to fully reproduce the observed behavior.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (65)

  1. D. Pesin and L. Balents, Mott physics and band topology in materials with strong spin–orbit interaction, Nat. Phys. 6, 376 (2010).
  2. 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).
  3. B. J. Kim, H. Jin, S. J. Moon, J.-Y. Kim, B.-G. Park, C. S. Leem, J. Yu, T. W. Noh, C. Kim, S.-J. Oh, J.-H. Park, V. Durairaj, G. Cao, and E. Rotenberg, Novel Jeff=1/2 Mott state induced by relativistic spin-orbit coupling in Sr2IrO4, Phys. Rev. Lett. 101, 076402 (2008).
  4. B. J. Kim, H. Ohsumi, T. Komesu, S. Sakai, T. Morita, H. Takagi, and T. Arima, Phase-sensitive observation of a spin-orbital Mott state in Sr2IrO4, Science 323, 1329 (2009).
  5. J. G. Rau, E. K.-H. Lee, and H.-Y. Kee, Spin-orbit physics giving rise to novel phases in correlated systems: Iridates and related materials, Annu. Rev. Condens. Matter Phys. 7, 195 (2016).
  6. R. Schaffer, E. Kin-Ho Lee, B.-J. Yang, and Y. B. Kim, Recent progress on correlated electron systems with strong spin–orbit coupling, Rep. Prog. Phys. 79, 094504 (2016).
  7. M. Subramanian, G. Aravamudan, and G. Subba Rao, Oxide pyrochlores—A review, Prog. Solid State Chem. 15, 55 (1983).
  8. D. Yanagishima and Y. Maeno, Metal-nonmetal changeover in pyrochlore iridates, J. Phys. Soc. Jpn. 70, 2880 (2001).
  9. K. Matsuhira, M. Wakeshima, Y. Hinatsu, and S. Takagi, Metal–insulator transitions in pyrochlore oxides Ln2Ir2O7, J. Phys. Soc. Jpn. 80, 094701 (2011).
  10. S. M. Disseler, C. Dhital, A. Amato, S. R. Giblin, C. de la Cruz, S. D. Wilson, and M. J. Graf, Magnetic order in the pyrochlore iridates A2Ir2O7 (A= Y, Yb), Phys. Rev. B 86, 014428 (2012).
  11. H. Sagayama, D. Uematsu, T. Arima, K. Sugimoto, J. J. Ishikawa, E. O’Farrell, and S. Nakatsuji, Determination of long-range all-in-all-out ordering of Ir4+ moment in a pyrochlore iridate Eu2Ir2O7 by resonant x-ray diffraction, Phys. Rev. B 87, 100403(R) (2013).
  12. S. M. Disseler, Direct evidence for the all-in/all-out magnetic structure in the pyrochlore iridates from muon spin relaxation, Phys. Rev. B 89, 140413(R) (2014).
  13. E. Lefrançois, V. Simonet, R. Ballou, E. Lhotel, A. Hadj-Azzem, S. Kodjikian, P. Lejay, P. Manuel, D. Khalyavin, and L. C. Chapon, Anisotropy-tuned magnetic order in pyrochlore iridates, Phys. Rev. Lett. 114, 247202 (2015).
  14. H. Guo, C. Ritter, and A. C. Komarek, Direct determination of the spin structure of Nd2Ir2O7 by means of neutron diffraction, Phys. Rev. B 94, 161102(R) (2016).
  15. B.-J. Yang and Y. B. Kim, Topological insulators and metal-insulator transition in the pyrochlore iridates, Phys. Rev. B 82, 085111 (2010).
  16. X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates, Phys. Rev. B 83, 205101 (2011).
  17. A. Go, W. Witczak-Krempa, G. S. Jeon, K. Park, and Y. B. Kim, Correlation effects on 3D topological phases: From bulk to boundary, Phys. Rev. Lett. 109, 066401 (2012).
  18. N. Varnava and D. Vanderbilt, Surfaces of axion insulators, Phys. Rev. B 98, 245117 (2018).
  19. Y. Machida, S. Nakatsuji, Y. Maeno, T. Tayama, T. Sakakibara, and S. Onoda, Unconventional anomalous Hall effect enhanced by a noncoplanar spin texture in the frustrated Kondo lattice Pr2Ir2O7, Phys. Rev. Lett. 98, 057203 (2007).
  20. Y. Machida, S. Nakatsuji, S. Onoda, T. Tayama, and T. Sakakibara, Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order, Nature (London) 463, 210 (2010).
  21. A. B. Sushkov, J. B. Hofmann, G. S. Jenkins, J. Ishikawa, S. Nakatsuji, S. Das Sarma, and H. D. Drew, Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7, Phys. Rev. B 92, 241108(R) (2015).
  22. K. Ueda, R. Kaneko, H. Ishizuka, J. Fujioka, N. Nagaosa, and Y. Tokura, Spontaneous Hall effect in the Weyl semimetal candidate of all-in all-out pyrochlore iridate, Nat. Commun. 9, 3032 (2018).
  23. K. Tomiyasu, K. Matsuhira, K. Iwasa, M. Watahiki, S. Takagi, M. Wakeshima, Y. Hinatsu, M. Yokoyama, K. Ohoyama, and K. Yamada, Emergence of magnetic long-range order in frustrated pyrochlore Nd2Ir2O7 with metal–insulator transition, J. Phys. Soc. Jpn. 81, 034709 (2012).
  24. E. Lefrançois, V. Cathelin, E. Lhotel, J. Robert, P. Lejay, C. V. Colin, B. Canals, F. Damay, J. Ollivier, B. Fåk, L. C. Chapon, R. Ballou, and V. Simonet, Fragmentation in spin ice from magnetic charge injection, Nat. Commun. 8, 209 (2017).
  25. E. Lefrançois, L. Mangin-Thro, E. Lhotel, J. Robert, S. Petit, V. Cathelin, H. E. Fischer, C. V. Colin, F. Damay, J. Ollivier, P. Lejay, L. C. Chapon, V. Simonet, and R. Ballou, Spin decoupling under a staggered field in the Gd2Ir2O7 pyrochlore, Phys. Rev. B 99, 060401(R) (2019).
  26. V. Cathelin, E. Lefrançois, J. Robert, P. C. Guruciaga, C. Paulsen, D. Prabhakaran, P. Lejay, F. Damay, J. Ollivier, B. Fåk, L. C. Chapon, R. Ballou, V. Simonet, P. C. W. Holdsworth, and E. Lhotel, Fragmented monopole crystal, dimer entropy, and Coulomb interactions in Dy2Ir2O7, Phys. Rev. Res. 2, 032073(R) (2020).
  27. 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).
  28. H. Jacobsen, C. D. Dashwood, E. Lhotel, D. Khalyavin, P. Manuel, R. Stewart, D. Prabhakaran, D. F. McMorrow, and A. T. Boothroyd, Strong quantum fluctuations from competition between magnetic phases in a pyrochlore iridate, Phys. Rev. B 101, 104404 (2020).
  29. H. Guo, C. Ritter, and A. C. Komarek, Magnetic structure of Tb2Ir2O7 determined by powder neutron diffraction, Phys. Rev. B 96, 144415 (2017).
  30. J. G. Rau and M. J. Gingras, Frustrated quantum rare-earth pyrochlores, Annu. Rev. Condens. Matter Phys. 10, 357 (2019).
  31. I. Mirebeau, A. Apetrei, J. Rodríguez-Carvajal, P. Bonville, A. Forget, D. Colson, V. Glazkov, J. P. Sanchez, O. Isnard, and E. Suard, Ordered spin ice state and magnetic fluctuations in Tb2Sn2O7, Phys. Rev. Lett. 94, 246402 (2005).
  32. P. Dalmas de Réotier, A. Yaouanc, L. Keller, A. Cervellino, B. Roessli, C. Baines, A. Forget, C. Vaju, P. C. M. Gubbens, A. Amato, and P. J. C. King, Spin dynamics and magnetic order in magnetically frustrated Tb2Sn2O7, Phys. Rev. Lett. 96, 127202 (2006).
  33. A. M. Hallas, W. Jin, J. Gaudet, E. M. Tonita, D. Pomaranski, C. R. C. Buhariwalla, M. Tachibana, N. P. Butch, S. Calder, M. B. Stone, G. M. Luke, C. R. Wiebe, J. B. Kycia, M. J. P. Gingras, and B. D. Gaulin, Intertwined magnetic dipolar and electric quadrupolar correlations in the pyrochlore Tb2Ge2O7, arXiv:2009.05036.
  34. R. Sibille, E. Lhotel, M. Ciomaga Hatnean, G. J. Nilsen, G. Ehlers, A. Cervellino, E. Ressouche, M. Frontzek, O. Zaharko, V. Pomjakushin, U. Stuhr, H. C. Walker, D. T. Adroja, H. Luetkens, C. Baines, A. Amato, G. Balakrishnan, T. Fennell, and M. Kenzelmann, Coulomb spin liquid in anion-disordered pyrochlore Tb2Hf2O7, Nat. Commun. 8, 892 (2017).
  35. V. K. Anand, L. Opherden, J. Xu, D. T. Adroja, A. D. Hillier, P. K. Biswas, T. Herrmannsdörfer, M. Uhlarz, J. Hornung, J. Wosnitza, E. Canévet, and B. Lake, Evidence for a dynamical ground state in the frustrated pyrohafnate Tb2Hf2O7, Phys. Rev. B 97, 094402 (2018).
  36. Y. Alexanian, E. Lhotel, R. Ballou, C. V. Colin, H. Klein, A. Le Priol, F. Museur, J. Robert, E. Pachoud, P. Lejay, A. Hadj-Azzem, B. Fåk, Q. Berrod, J.-M. Zanotti, E. Suard, C. Dejoie, S. de Brion, and V. Simonet, Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb2ScNbO7, Phys. Rev. Mater. 7, 094403 (2023).
  37. J. S. Gardner, S. R. Dunsiger, B. D. Gaulin, M. J. P. Gingras, J. E. Greedan, R. F. Kiefl, M. D. Lumsden, W. A. MacFarlane, N. P. Raju, J. E. Sonier, I. Swainson, and Z. Tun, Cooperative paramagnetism in the geometrically frustrated pyrochlore antiferromagnet Tb2Ti2O7, Phys. Rev. Lett. 82, 1012 (1999).
  38. T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, Power-law spin correlations in the pyrochlore antiferromagnet Tb2Ti2O7, Phys. Rev. Lett. 109, 017201 (2012).
  39. T. Taniguchi, H. Kadowaki, H. Takatsu, B. Fåk, J. Ollivier, T. Yamazaki, T. J. Sato, H. Yoshizawa, Y. Shimura, T. Sakakibara, T. Hong, K. Goto, L. R. Yaraskavitch, and J. B. Kycia, Long-range order and spin-liquid states of polycrystalline Tb2+xTi2−xO7+y, Phys. Rev. B 87, 060408(R) (2013).
  40. S. Guitteny, J. Robert, P. Bonville, J. Ollivier, C. Decorse, P. Steffens, M. Boehm, H. Mutka, I. Mirebeau, and S. Petit, Anisotropic propagating excitations and quadrupolar effects in Tb2Ti2O7, Phys. Rev. Lett. 111, 087201 (2013).
  41. K. Fritsch, K. A. Ross, Y. Qiu, J. R. D. Copley, T. Guidi, R. I. Bewley, H. A. Dabkowska, and B. D. Gaulin, Antiferromagnetic spin ice correlations at (12,12,12) in the ground state of the pyrochlore magnet Tb2Ti2O7, Phys. Rev. B 87, 094410 (2013).
  42. T. Fennell, M. Kenzelmann, B. Roessli, H. Mutka, J. Ollivier, M. Ruminy, U. Stuhr, O. Zaharko, L. Bovo, A. Cervellino, M. K. Haas, and R. J. Cava, Magnetoelastic excitations in the pyrochlore spin liquid Tb2Ti2O7, Phys. Rev. Lett. 112, 017203 (2014).
  43. E. Kermarrec, D. D. Maharaj, J. Gaudet, K. Fritsch, D. Pomaranski, J. B. Kycia, Y. Qiu, J. R. D. Copley, M. M. P. Couchman, A. O. R. Morningstar, H. A. Dabkowska, and B. D. Gaulin, Gapped and gapless short-range-ordered magnetic states with (12,12,12) wave vectors in the pyrochlore magnet Tb2+xTi2−xO7+δ, Phys. Rev. B 92, 245114 (2015).
  44. H. Takatsu, S. Onoda, S. Kittaka, A. Kasahara, Y. Kono, T. Sakakibara, Y. Kato, B. Fåk, J. Ollivier, J. Lynn, T. Taniguchi, M. Wakita, and H. Kadowaki, Quadrupole order in the frustrated pyrochlore Tb2+xTi2−xO7+y, Phys. Rev. Lett. 116, 217201 (2016).
  45. H. Kadowaki, M. Wakita, B. Fåk, J. Ollivier, and S. Ohira-Kawamura, Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb2+xTi2−xO7+y, Phys. Rev. B 105, 014439 (2022).
  46. Y. Alexanian, J. Robert, V. Simonet, B. Langérôme, J.-B. Brubach, P. Roy, C. Decorse, E. Lhotel, E. Constable, R. Ballou, and S. De Brion, Vibronic collapse of ordered quadrupolar ice in the pyrochlore magnet Tb2Ti2O7, Phys. Rev. B 107, 224404 (2023).
  47. A. Roll, V. Balédent, J. Robert, J. Ollivier, C. Decorse, S. Guitteny, I. Mirebeau, and S. Petit, Magnetic interactions in the cooperative paramagnet Tb2Ti2O7, Phys. Rev. Res. 6, 043011 (2024).
  48. H. Yan, O. Benton, L. Jaubert, and N. Shannon, Theory of multiple-phase competition in pyrochlore magnets with anisotropic exchange with application to Yb2Ti2O7, Er2Ti2O7, and Er2Sn2O7, Phys. Rev. B 95, 094422 (2017).
  49. V. Hardy, S. Lambert, M. R. Lees, and D. McK. Paul, Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxide Ca3Co2O6, Phys. Rev. B 68, 014424 (2003).
  50. M. J. P. Gingras, B. C. den Hertog, M. Faucher, J. S. Gardner, S. R. Dunsiger, L. J. Chang, B. D. Gaulin, N. P. Raju, and J. E. Greedan, Thermodynamic and single-ion properties of Tb3+ within the collective paramagnetic-spin liquid state of the frustrated pyrochlore antiferromagnet Tb2Ti2O7, Phys. Rev. B 62, 6496 (2000).
  51. I. Mirebeau, P. Bonville, and M. Hennion, Magnetic excitations in Tb2Sn2O7 and Tb2Ti2O7 as measured by inelastic neutron scattering, Phys. Rev. B 76, 184436 (2007).
  52. A. Bertin, Y. Chapuis, P. Dalmas de Réotier, and A. Yaouanc, Crystal electric field in the R2Ti2O7 pyrochlore compounds, J. Phys.: Condens. Matter 24, 256003 (2012).
  53. J. Zhang, K. Fritsch, Z. Hao, B. V. Bagheri, M. J. P. Gingras, G. E. Granroth, P. Jiramongkolchai, R. J. Cava, and B. D. Gaulin, Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7, Phys. Rev. B 89, 134410 (2014).
  54. M. Ruminy, E. Pomjakushina, K. Iida, K. Kamazawa, D. T. Adroja, U. Stuhr, and T. Fennell, Crystal-field parameters of the rare-earth pyrochlores R2Ti2O7 (R=Tb, Dy, and Ho), Phys. Rev. B 94, 024430 (2016).
  55. A. Roll, Spectroscopie et dynamique de spin des systèmes frustrés: des pnictures aux pyrochlores, Ph.D. thesis, Université Paris-Saclay, 2024.
  56. 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).
  57. M. T. Hutchings, Point-charge calculations of energy levels of magnetic ions in crystalline electric fields, Solid State Phys. 16, 227 (1964).
  58. O. Danielsen and P.-A. Lindgård, Quantum Mechanical Operator Equivalents used in the Theory of Magnetism (Risø National Laboratory, Roskilde, Denmark, 1972).
  59. E. Constable, R. Ballou, J. Robert, C. Decorse, J.-B. Brubach, P. Roy, E. Lhotel, L. Del-Rey, V. Simonet, S. Petit, and S. deBrion, Double vibronic process in the quantum spin ice candidate Tb2Ti2O7 revealed by terahertz spectroscopy, Phys. Rev. B 95, 020415(R) (2017).
  60. J. Gaudet, A. M. Hallas, C. R. C. Buhariwalla, G. Sala, M. B. Stone, M. Tachibana, K. Baroudi, R. J. Cava, and B. D. Gaulin, Magnetoelastically induced vibronic bound state in the spin-ice pyrochlore Ho2Ti2O7, Phys. Rev. B 98, 014419 (2018).
  61. P. Santini, S. Carretta, G. Amoretti, R. Caciuffo, N. Magnani, and G. H. Lander, Multipolar interactions in f-electron systems: The paradigm of actinide dioxides, Rev. Mod. Phys. 81, 807 (2009).
  62. Q. Faure, A. Toschi, J. R. Soh, E. Lhotel, B. Detlefs, D. Prabhakaran, D. F. McMorrow, and C. J. Sahle, Spin dynamics and possible topological magnons in the nonstoichiometric pyrochlore iridate Tb2Ir2O7 studied by RIXS, Phys. Rev. B 110, L140401 (2024).
  63. F. Museur, J. Robert, F. Morineau, N. Bujault, V. Simonet, E. Pachoud, A. Hadj-Azzem, C. V. Colin, L. Mangin-Thro, P. Manuel, J. R. Stewart, P. C. W. Holdsworth, and E. Lhotel, Ferromagnetic fragmented ground state in the pyrochlore Ho2Ru2O7, Phys. Rev. B 113 L060406 (2026).
  64. E. Lefrançois, R. Ballou, L.-C. Chapon, P. Lejay, E. Lhotel, J. Ollivier, and V. Simonet, Magnetic and crystal field excitation spectra in the iridate pyrochlores Tb2Ir2O7 and Er2Ir2O7, ILL Data Portal, 2014, https://doi.ill.fr/.
  65. P. J. Brown, A. G. Fox, E. N. Maslen, M. A. O. Keefe, and B. T. M. Willis, Intensity of diffracted intensities, in International Tables for Crystallography, Mathematical, Physical and Chemical Tables, edited by E. Prince (International Union of Crystallography, Chester, England, 2006), Vol. C, p. 554.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation