Abstract
The dispersion equation of a strongly anisotropic one-dimensional magnet catena-[FeII(ClO4)2{FeIII(bpca)2}]ClO4 containing alternating high-spin (HS) (S = 2) and low-spin (LS) (S = 1/2) iron ions is obtained by the diagram technique for Hubbard operators. The analysis of this equation yields six branches in the excitation spectrum of this magnet. It is important that the crystal field for ions with spin S = 2 is described by the Hamiltonian of single-ion easy-plane anisotropy, whose orientation is changed by 90° when passing from one HS iron ion to another. The U(N) transformation technique in the atomic representation is applied to diagonalize a single-ion Hamiltonian with a large number of levels. It is shown that the modulation of the orientation of easy magnetization planes leads to a model of a ferrimagnet with easy-axis anisotropy and to the formation of energy spectrum with a large gap. For HS iron ions, a decrease in the mean value of the spin projection due to quantum fluctuations is calculated. The analysis of the specific features of the spectrum of elementary excitations allows one to establish a correspondence to a generalized Ising model for which the magnetic susceptibility is calculated in a wide range of temperatures by the transfer-matrix method. The introduction of a statistical ensemble that takes into account the presence of chains of different lengths and the presence of iron ions with different spins allows one to describe the experimentally observed modification of the magnetic susceptibility of the magnet under optical irradiation.
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References
A. I. Smirnov and V. N. Glazkov, J. Exp. Theor. Phys. 105 (4), 861 (2007).
S.-L. Drechsler, O. Volkova, A. N. Vasiliev, N. Tristan, J. Richter, M. Schmitt, H. Rosner, J. Malek, R. Klingeler, A. A. Zvyagin, and B. Buchner, Phys. Rev. Lett. 98, 077202 (2007).
L. E. Svistov, T. Fujita, H. Yamaguchi, S. Kimura, K. Omura, A. Prokofiev, A. I. Smirnov, Z. Honda, and M. Hagiwara, JETP Lett. 93 (1), 21 (2011).
L. A. Prozorova, S. S. Sosin, L. E. Svistov, N. Buttgen, J. B. Kemper, A. P. Reyes, S. Riggs, A. Prokofiev, and O. A. Petrenko, Phys. Rev. B: Condens. Matter 91, 174410 (2015).
L. Bogani, A. Vindigni, R. Sessoli, and D. Gatteschi, J. Mater. Chem. 18, 4750 (2008).
C. Coulon, H. Miyasaka, and R. Cl’erac, Struct. Bonding (Berlin, Ger.) 122, 163 (2006).
W.-X. Zhang, R. Ishikawa, B. Breedlove, and M. Yamashita, RSC Adv. 3, 3772 (2013).
T. Liu, H. Zheng, S. Kang, Y. Shiota, S. Hayami, M. Mito, O. Sato, K. Yoshizawa, S. Kanegawa, and C. Duan, Nat. Commun. 4, 2826 (2013).
O. V. Billoni, V. Pianet, and D. A. Vindigni Pescia, Phys. Rev. B: Condens. Matter 84, 064415 (2011).
R. Glauber, J. Math. Phys. 4, 294 (1963).
L. Bogani, A. Caneschi, M. Fedi, D. Gatteschi, M. Massi, M. A. Novak, M. G. Pini, A. Rettori, R. Sessoli, and A. Vindigni, Phys. Rev. Lett. 92, 207204 (2004).
C. Coulon, R. Cl’erac, L. Lecren, W. Wernsdorfer, and H. Miyasaka, Phys. Rev. B: Condens. Matter 69, 132408 (2004).
A. Vindigni, L. Bogani, D. Gatteschi, R. Sessoli, A. Rettori, and M. A. Novak, J. Magn. Magn. Mater. 272–276, 297 (2004).
Yu. B. Kudasov, J. Exp. Theor. Phys. 110 (2), 360 (2010).
M. G. Pini and A. Rettori, Phys. Rev. B: Condens. Matter 76, 064407 (2007).
C. Coulon, R. Cl’erac, W. Wernsdorfer, T. Colin, A. Saitoh, N. Motokawa, and H. Miyasaka, Phys. Rev. B: Condens. Matter 76, 214422 (2007).
A. Vindigni and M. G. Pini, J. Phys.: Condens. Matter 21, 236007 (2009).
K. Bernot, J. Luzon, A. Caneschi, D. Gatteschi, R. Sessoli, L. Bogani, A. Vindigni, A. Rettori, and M. G. Pini, Phys. Rev. B: Condens. Matter 79, 134419 (2009).
S. Sahoo, J.-P. Sutter, and S. Ramasesha, J. Stat. Phys. 147, 181 (2012).
Yu. B. Kudasov, A. S. Korshunov, V. N. Pavlov, and D. A. Maslov, Phys.—Usp. 55 (12), 1169 (2012).
M. Nihei, T. Shiga, Y. Maeda, and H. Oshio, Coord. Chem. Rev. 251, 2606 (2007).
P. Gamez, J. S. Costa, M. Quesada, and G. Aromi, Dalton Trans. 38, 7845 (2009).
B. Weber and E.-G. Ja’ger, Eur. J. Inorg. Chem. 4, 465 (2009).
M. A. Halcrow, Chem. Soc. Rev. 40, 4119 (2011).
T. Liu, Y.-J. Zhang, S. Kanegawa, and O. Sato, J. Am. Chem. Soc. 132, 8250 (2010).
N. Hoshino, F. Iijima, G. N. Newton, N. Yoshida, T.Shiga, H. Nojiri, A. Nakao, R. Kumai, Y. Murakami, and H. Oshio, Nat. Chem. 4 (11), 921 (2012).
M. Yamashita, T. Kajiwara, Yu. Kaneko, M. Nakano, Sh. Takaishi, T. Ito, H. Nojiri, N. Kojima, and M. Mito, Presentation at Sixth International Symposium on Crystalline Organic Metals, Superconductors, and Ferromagnets (2005).
E. Heintze, F. El Hallak, C. Clauß, A. Rettori, M. G. Pini, F. Totti, M. Dressel, and L. Bogani, Nat. Mater. 12, 202 (2013).
T. Kajiwara, M. Nakano, Yu. Kaneko, Sh. Takaishi, T. Ito, M. Yamashita, A. Igashira-Kamiyama, H. Nojiri, Yu. Ono, and N. Kojima, J. Am. Chem. Soc. 127, 10150 (2005).
T. Kajiwara, H. Tanaka, and M. Yamashita, Pure Appl. Chem. 80, 2297 (2008).
T. Kajiwara, H. Tanaka, M. Nakano, Sh. Takaishi, Ya. Nakazawa, and M. Yamashita, Inorg. Chem. 49, 8358 (2010).
R. O. Zaitsev, Sov. Phys. JETP 41 (1), 100 (1975).
V. V. Val’kov and T. A. Val’kova, Sov. J. Low Temp. Phys. 11 (9), 524 (1985).
V. V. Val’kov, T. A. Val’kova, and S. G. Ovchinnikov, Sov. Phys. JETP 61 (2), 323 (1985).
V. V. Val’kov and T. A. Val’kova, Teor. Mat. Fiz. 76 (1), 143 (1988).
V. I. Butrim, B. A. Ivanov, and Yu. A. Fridman, Low Temp. Phys. 38 (5), 395 (2012).
R. O. Zaitsev, Diagrammatic Method in the Theory of Superconductivity and Ferromagnetism (URSS, Moscow, 2004; URSS, Moscow, 2008).
V. V. Val’kov and S. G. Ovchinnikov, Quasiparticles in Strongly Correlated Systems (Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2001) [in Russian].
O. A. Kosmachev, Yu. A. Fridman, E. G. Galkina, and B. A. Ivanov, J. Exp. Theor. Phys. 120 (2), 281 (2015).
E. G. Galkina, V. I. Butrim, Yu. A. Fridman, B. A. Ivanov, and F. Nori, Phys. Rev. B: Condens. Matter 88, 144420 (2013).
V. V. Val’kov, V. A. Mitskan, and G. A. Petrakovskii, J. Exp. Theor. Phys. 102 (2), 234 (2006).
V. V. Val’kov, S. V. Aksenov, and E. A. Ulanov, J. Exp. Theor. Phys. 119 (1), 124 (2014).
R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Mir, Moscow, 1985; Academic Press, London, 2008).
L. Bogani, A. Caneschi, M. Fedi, D. Gatteschi, M. Massi, M. A. Novak, M. G. Pini, A. Rettori, R. Sessoli, and A. Vindigni, Phys. Rev. Lett. 92 (20–21), 207204 (2004).
F. A. Kassan-Ogly, Phase Transitions 722, 223 (2000).
A. Vindigni, A. Rettori, M. G. Pini, C. Carbone, and P. Gambardella, Appl. Phys. A 82 (3), 385 (2006).
K. Bernot, J. Luzon, A. Caneschi, D. Gatteschi, R. Sessoli, L. Bogani, A. Vindigni, A. Rettori, and M. G. Pini, Phys. Rev. B: Condens. Matter 79 (13), 134419 (2009).
A. A. Lushnikov, Sov. Phys. JETP 29 (1), 120 (1968).
A. K. Arzhnikov and A. V. Vedyaev, Sov. J. Low Temp. Phys. 8, 600 (1982).
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Original Russian Text © V.V. Val’kov, M.S. Shustin, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 148, No. 5, pp. 984–1004.
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Val’kov, V.V., Shustin, M.S. Quantum renormalizations in anisotropic multisublattice magnets and the modification of magnetic susceptibility under irradiation. J. Exp. Theor. Phys. 121, 860–877 (2015). https://doi.org/10.1134/S1063776115110175
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DOI: https://doi.org/10.1134/S1063776115110175