Abstract
The exchange interaction in vanadates with the pyrochlore structure, namely, Lu2V2O7 and Y2V2O7, has been investigated using the first-principles approach. The isotropic exchange coupling constants have been determined. The calculations have been performed within the unrestricted Hartree–Fock (UHF) approximation, as well as in the framework of the density functional theory (DFT), using hybrid functionals. It has been shown that, in the description of the exchange interaction in the compounds under investigation, the nonlocal Hartree–Fock exchange should be taken into account. The splitting patterns of the 3d 1 level of the V4+ ion in the crystal field have been obtained within the model approach. The calculation has been carried out in the approximation of point charges taking into account the spin–orbit interaction. It has been revealed that the “orbital liquid” state cannot be observed in the compounds under investigation, because the exchange interaction energy is significantly less than the energy spacing between the ground state and the first excited state. The orbital ordering has been analyzed, and the spin density maps have been constructed.
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J. S. Garden, M. J. Gingras, and J. E. Greedan, Rev. Mod. Phys. 82, 53 (2010).
G. T. Knoke, A. Niazi, J. M. Hill, and D. C. Johnston, Phys. Rev. B: Condens. Matter 76, 054439 (2007).
Y. Yamashita and K. Ueda, Phys. Rev. Lett. 85, 4960 (2000).
S. Shamoto, T. Nakano, Y. Nozue, and T. Kajitani, J. Phys. Chem. Solids 63, 1047 (2002).
Y. Onose, T. Ideue, H. Katsura, Y. Shiomi, N. Nagaosa, and Y. Tokura, Science (Washington) 329 (5889), 297 (2010).
G. Khaliullin, Prog. Theor. Phys. Suppl. 160, 155 (2005).
V. A. Chernyshev, V. P. Petrov, and A. E. Nikiforov, Phys. Solid State 57 (5), 996 (2015).
O. Kahn, Molecular Magnetism (Wiley, New York, 1993).
http://www.crystal.unito.it/.
V. G. Tsirel’son, Quantum Chemistry: Molecules, Molecular Systems, and Solids (Binom, Moscow, 2010) [in Russian].
A. D. Becke, J. Chem. Phys. 98, 5648 (1993).
P. J. Stephens, F. J. Devlin, C. F. Chabalowski, and M. J. Frisch, J. Phys. Chem. 98, 11623 (1994).
R. A. Evarestov and A. V. Bandura, Ross. Khim. Zh. LI 5), 149 (2007).
J. Muscat, A. Wander, and N. M. Harrison, Chem. Phys. Lett. 342, 397 (2001).
R. A. Evarestov, A. V. Bandura, and V. E. Aleksandrov, Phys. Solid State 47 (12), 2248 (2005).
http://www.crystal.unito.it/basis-sets.php.
M. Dolg, H. Stoll, A. Savin, and H. Preuss, Theor. Chim. Acta 75, 173 (1989).
http://www.tc.uni-koeln.de/PP/clickpse.en.html.
I. I. Leonidov, V. P. Petrov, V. A. Chernyshev, A. E. Nikiforov, E. G. Vovkotrub, A. P. Tyutynnik, and V. G. Zubkov, J. Phys. Chem. C 118, 8090 (2014). http://pubs.acs.org/doi/suppl/10.1021/jp410492a.
J. P. Perdew, M. Ernzerhof, and K. Burke, J. Chem. Phys. 105, 9982 (1996).
A. A. Haghighirad, G. Gross, and W. Assmus, J. Cryst. Growth 310, 2277 (2008).
G. V. Bazuev, A. A. Samokhvalov, Yu. N. Morozov, I. I. Matveenko, V. S. Babushkin, T. I. Arbuzova, and G. P. Shveikin, Sov. Phys. Solid State 19 (11), 1913 (1977).
M. Mena, R. S. Perry, T. G. Perring, M. D. Le, S. Guerrero, M. Storni, D. T. Adroja, Ch. Rüegg, and D. F. McMorrow, Phys. Rev. Lett. 113, 047202 (2014).
H. J. Xiang, E. J. Kan, M.-H. Whangbo, C. Lee, Su-Huai Wei, and X. G. Gong, Phys. Rev. B: Condens. Matter 83 (17), 174402 (2011).
A. A. Biswas and Y. M. Jana, J. Magn. Magn. Mater. 329, 118 (2013).
L. Zhang, J. Ren, J.-S. Wang, and B. Li, Phys. Rev. B: Condens. Matter 87 (14), 144101 (2013).
S. Shamoto, H. Tazawa, Y. Ono, T. Nakano, Y. Nozue, and T. Kajitani, J. Phys. Chem. Solids 62, 325 (2001).
H. Ichikawa, L. Kano, M. Saitoh, S. Miyahara, N. Furukawa, J. Akimitsu, T. Yokoo, T. Matsumura, M. Takeda, and K. Hirota, J. Phys. Soc. Jpn. 74, 1020 (2005).
L. Balents, Nature (London) 464 (7286), 199 (2010).
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Original Russian Text © D.V. Nazipov, A.E. Nikiforov, V.A. Chernyshev, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 10, pp. 1921–1925.
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Nazipov, D.V., Nikiforov, A.E. & Chernyshev, V.A. Exchange interaction in pyrochlore vanadates Lu2V2O7 and Y2V2O7: Ab initio approach. Phys. Solid State 58, 1989–1994 (2016). https://doi.org/10.1134/S1063783416100255
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DOI: https://doi.org/10.1134/S1063783416100255