The ground state of the four-sublattice PbMnBO4 ferromagnet is investigated taking into account the symmetry of the crystal and the spatial distribution of the orbital states of the Mn3+ ions. By numerical minimization of the energy of the ground state of the classical model with three types of anisotropy—single-ion, dipole–dipole, and Dzyaloshinskii–Moriya interaction—the anisotropic interaction parameters for magnetic phases with different orientations of the total magnetization in the crystal are obtained. It is demonstrated that the experimentally observed state with the magnetization directed along the a orthorhombic axis becomes the ground state only in the presence of antisymmetric anisotropic exchange.
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REFERENCES
J. B. Goodenough, Phys. Rev. 100, 564 (1955).
J. Kanamori, J. Appl. Phys. 31, 14S (1960).
G. Matsumoto, J. Phys. Soc. Jpn. 29, 606 (1970).
K. I. Kugel’ and D. I. Khomskii, Sov. Phys. Usp. 25, 231 (1982).
Y. Tokura and N. Nagaosa, Science (Washington, DC, U. S.) 288, 462 (2000).
L. E. Gonchar’ and A. E. Nikiforov, Phys. Rev. B 88, 094401 (2013).
M. Snamina and A. Oles, Phys. Rev. B 94, 214426 (2016).
L. E. Gonchar’, J. Magn. Magn. Mater. 465, 661 (2018).
K. I. Kugel’ and D. I. Khomskii, Sov. Phys. JETP 37, 725 (1973).
E. Pavarini and E. Koch, Phys. Rev. Lett. 104, 086402 (2010).
A. Abragam and B. Bleaney, Electron Paramagnetic Resonance of Transition Ions (Clarendon, Oxford, 1970), Vol. 1.
J. Rodrigiez-Carvajal, M. Hennion, F. Moussa, A. H. Moudden, L. Pinsand, and A. Revcolevschi, Phys. Rev. B 57, R3189 (1998).
L. E. Gonchar’, A. E. Nikiforov, and S. E. Popov, J. Exp. Theor. Phys. 91, 1221 (2000).
H. Park, R. Lean, J. E. Greedan, and J. Barbier, Chem. Mater. 15, 1703 (2003).
A. Pankrats, K. Sablina, M. Eremin, A. Balaev, M. Kolkov, and V. Tugarinov, J. Magn. Magn. Mater. 414, 82 (2016).
H.-J. Koo aand M.-H. Whangbo, Solid State Commun. 149, 602 (2009).
Th. Proffen, R. G. DiFrancesco, S. G. L. Billinge, E. L. Brosha, and G. H. Kwei, Phys. Rev. B 60, 9973 (1999).
F. Moussa, M. Hennion, J. Rodrigiez-Carvajal, H. Moudden, L. Pinsard, and A. Revcolevschi, Phys. Rev. B 54, 15149 (1996).
H. Xiang, Y. Tang, S. Shang, and Z. He, J. Phys.: Condens. Matter 28, 276003 (2016).
S. N. Martynov, Phys. Solid State 62, 1165 (2020).
I. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958).
T. Moriya, Phys. Rev. 120, 91 (1960).
S. V. Vonsovsky and E. A. Turov, J. Appl. Phys. 30, 9S (1959).
F. Keffer, Phys. Rev. 126, 896 (1961).
A. S. Moskvin and I. G. Bostrem, Sov. Phys. Solid State 19, 1532 (1977).
E. A. Turov, A. V. Kolchanov, V. V. Men’shenin, I. F. Mirsaev, and V. V. Nikolaev, Symmetry and Physical Properties of Antiferromagnets (Fizmatlit, Moscow, 2001), p. 104 [in Russian].
A. S. Moskvin, J. Exp. Theor. Phys. 132, 517 (2021).
A. S. Moskvin, J. Exp. Theor. Phys. 104, 913 (2007).
M. V. Eremin and Yu. V. Rakitin, J. Phys. C: Solid State Phys. 15, L259 (1982).
A. Pankrats, M. Kolkov, S. Martynov, S. Popkov, A. Krasikov, A. Balaev, and M. Gorev, J. Magn. Magn. Mater. 471, 416 (2019).
H. J. Gerritsen and E. S. Sabiski, Phys. Rev. 132, 507 (1963).
L. E. Gonchar’, Phys. Solid State 61, 728 (2019).
I. Soloviev, N. Hamada, and K. Terakura, Phys. Rev. Lett. 76, 4825 (1996).
M. Tovar, G. Alejandro, A. Butera, A. Caneiro, M. T. Causa, F. Prado, and R. D. Sanchez, Phys. Rev. B 60, 10199 (1999).
V. Skumryev, F. Ott, J. M. D. Coey, A. Anane, J.‑P. Renard, L. Pinsard-Goudart, and A. Revcolevschi, Eur. Phys. J. B 11, 401 (1999).
H. I. Huber, G. Alejandro, A. Caneiro, M. T. Causa, F. Prado, M. Tovar, and S. B. Oseroff, Phys. Rev. B 60, 12155 (1999).
A. Pimenov, M. Biberacher, D. Ivannikov, A. Loidl, V. Yu. Ivanov, A. A. Muchin, and A. M. Balbashov, Phys. Rev. B 62, 5685 (2000).
J. Deisenhofer, M. V. Eremin, D. V. Zakharov, V. A. Ivanshin, R. M. Eremina, H.-A. Krug von Nidda, A. A. Muchin, A. M. Balbashov, and A. Loidl, Phys.Rev. B 65, 104440 (2002).
A. A. Mozhegorov, L. E. Gonchar’, and A. E. Nikiforov, Low Temp. Phys. 33, 229 (2007).
S. N. Martynov, Phys. Solid State 63, 1253 (2021).
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Martynov, S.N. Ground State of the Orbitally Ordered PbMnBO4 Ferromagnet. Jetp Lett. 115, 679–684 (2022). https://doi.org/10.1134/S0021364022600860
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DOI: https://doi.org/10.1134/S0021364022600860