Quantum effects of magnetization of an easy-axis ferromagnet with $S=1$
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 333-352 Cet article a éte moissonné depuis la source Math-Net.Ru

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We analyze the influence of quantum effects on magnetic properties of a strongly anisotropic easy-axis ferromagnet with single-ion anisotropy comparable to the exchange interaction of spins with $S=1$. We show that in this case, despite the quantum approach, we can apply a description inspired by the Landau theory of phase transitions. We consider two magnetization cases: by a longitudinal and by a transverse external magnetic field. We determine the critical values of the fields and find quantum corrections manifested in the so-called “shortening” of the mean spin modulus. We find that for a sufficiently large single-ion anisotropy, the angular dependence of the critical field differs from the Stoner–Wohlfarth astroid.
Keywords: quantum phase transition, single-ion anisotropy, magnetizing easy-axis ferromagnet, critical field of remagnetization of easy-axis ferromagnet.
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V. M. Kalita; I. M. Ivanova; V. M. Loktev. Quantum effects of magnetization of an easy-axis ferromagnet with $S=1$. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 333-352. http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a8/

[1] E. M. Lifshits, ZhETF, 15:3 (1945), 97–107

[2] S. V. Vonsovskii, UFN, 37:1 (1949), 1–64 | DOI

[3] Z. A. Kazei, N. P. Kolmakova, R. Z. Levitin, V. V. Platonov, A. A. Sidorenko, O. M. Tatsenko, Pisma v ZhETF, 65:9 (1997), 691 | DOI

[4] O. B. Zaslavskii, V. V. Ulyanov, Yu. V. Vasilevskaya, FNT, 24:7 (1998), 627–634 | DOI

[5] M. S. Tagirov, D. A. Tayurskii, FNT, 28:3 (2002), 211–234 | DOI

[6] Z. A. Kazei, V. V. Snegirev, Zh.-M. Broto, Kh. Rakoto, Pisma v ZhETF, 87:12 (2008), 787–791 | DOI

[7] M. I. Kobets, E. N. Khatsko, K. G. Dergachev, P. S. Kalinin, FNT, 36:7 (2010), 767–775 | DOI

[8] V. M. Loktev, V. S. Ostrovskii, UFZh, 23:10 (1978), 1708–1717

[9] F. P. Onufrieva, ZhETF, 80:6 (1981), 2372–2379

[10] V. G. Borisenko, Yu. V. Pereverzev, FNT, 11 (1985), 730–735

[11] V. V. Valkov, T. A. Valkova, S. G. Ovchinnikov, ZhETF, 88 (1985), 550–561

[12] V. S. Ostrovskii, ZhETF, 91 (1986), 1690–1701

[13] Yu. N. Mitsai, Yu. A. Fridman, TMF, 81:2 (1989), 263–270 | DOI

[14] V. M. Loktev, V. S. Ostrovskii, FNT, 20:10 (1994), 983–1016

[15] V. Yu. Irkhin, Yu. P. Irkhin, Phys. Stat. Sol., 193 (1994), 9 | DOI

[16] V. M. Kalita, V. M. Loktev, FNT, 28:12 (2002), 1244–1250 ; ФТТ, 45:8 (2003), 1450–1455 ; 47:4 (2005), 666–672 | DOI | DOI

[17] Yu. A. Fridman, O. A. Kosmachev, Ph. N. Klevets, JMMM, 320:3–4 (2008), 435–449 | DOI

[18] Yu. A. Fridman, D. A. Matyunin, FTT, 50:4 (2008), 669–674 | DOI

[19] Yu. A. Fridman, D. A. Matunin, Ph. N. Klevets, O. A. Kosmachev, JMMM, 321:22 (2009), 3782–3794 | DOI

[20] V. V. Valkov, S. G. Ovchinnikov, Kvazichastitsy v silno korrelirovannykh sistemakh, Izd-vo SO RAN, Novosibirsk, 2001 | MR

[21] V. Yu. Irkhin, Yu. P. Irkhin, Electronic Structure, Correlation Effects and Properties of $d$- and $f$-Metals and Their Compounds, Cambridge Internat. Sci. Publ., Cambridge, 2007

[22] R. S. Gekht, UFN, 159:2 (1989), 261–296 | DOI

[23] M. F. Collins, O. A. Petrenko, Can. J. Phys., 75:9 (1997), 605–655, arXiv: cond-mat/9706153 | DOI

[24] B. S. Dumesh, UFN, 170:4 (2000), 403–418 | DOI

[25] V. S. Zapf, D. Zocco, B. R. Hansen, M. Jaime, N. Harrison, C. D. Batista, M. Kenzelmann, C. Niedermayer, A. Lacerda, A. Paduan-Filho, Phys. Rev. Lett., 96:7 (2006), 077204, 4 pp., arXiv: cond-mat/0505562 | DOI

[26] S. A. Zvyagin, J. Wosnitza, C. D. Batista, M. Tsukamoto, N. Kawashima, J. Krzystek, V. S. Zapf, M. Jaime, N. F. Oliveira, Jr., A. Paduan-Filho, Phys. Rev. Lett., 98:4 (2007), 047205, 4 pp., arXiv: cond-mat/0701750 | DOI

[27] V. S. Zapf, V. F. Correa, P. Sengupta, C. D. Batista, M. Tsukamoto, N. Kawashima, P. Egan, C. Pantea, A. Migliori, J. B. Betts, M. Jaime, A. Paduan-Filho, Phys. Rev. B, 77:2 (2008), 020404(R), 4 pp. | DOI

[28] O. Chiatti, A. Sytcheva, J. Wosnitza, S. Zherlitsyn, A. A. Zvyagin, V. S. Zapf, M. Jaime, A. Paduan-Filho, Phys. Rev. B, 78:9 (2008), 094406, 5 pp., arXiv: 0809.1515) | DOI

[29] V. M. Kalita, V. M. Loktev, ZhETF, 125:5 (2004), 1149–1158 ; ФНТ, 31:7 (2005), 815 ; Письма в ЖЭТФ, 91:4 (2010), 196–200 | DOI | DOI | DOI

[30] V. M. Kalita, V. M. Loktev, Pisma v ZhETF, 93:9 (2011), 592–596 | DOI

[31] V. M. Kalita, I. M. Ivanova, V. M. Loktev, Phys. Rev. B, 78:10 (2008), 104415, 10 pp., arXiv: 0707.4227 | DOI

[32] L. Neel, Izvestiya AN SSSR. Ser. fiz., 21:6 (1957), 890–903

[33] K. P. Belov, A. K. Zvezdin, A. M. Kadomtseva, R. Z. Levitin, Orientatsionnye perekhody v redkozemelnykh magnetikakh, Nauka, M., 1979

[34] V. G. Baryakhtar, I. M. Vitebskii, D. A. Yablonskii, FTT, 19 (1977), 2135

[35] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, Nauka, M., 1975 | MR

[36] V. F. Gantmakher, V. T. Dolgopolov, UFN, 178:1 (2008), 3–24 | DOI | DOI

[37] B. A. Ivanov, Pisma v ZhETF, 84:2 (2006), 90–94 | DOI

[38] V. I. Butrim, B. A. Ivanov, A. S. Kuznetsov, Pisma v ZhETF, 92:3 (2010), 172–176 | DOI

[39] E. C. Stoner, E. P. Wohlfarth, Phil. Trans. R. Soc. Lond. A, 240:826 (1948), 599–642 | DOI | Zbl

[40] L. D. Landau, E. M. Lifshits, Teoreticheskaya fizika, v. 8, Elektrodinamika sploshnykh sred, Nauka, M., 1982 | MR

[41] M. Yu. Kovalevskii, FNT, 36:8–9 (2010), 1006–1012 | DOI

[42] A. A. Timopheev, V. M. Kalita, S. M. Ryabchenko, A. F. Lozenko, P. A. Trotsenko, A. V. Los, M. Munakata, J. Appl. Phys., 108:5 (2010), 053902, 8 pp. | DOI

[43] S. M. Ryabchenko, A. A. Timofeev, V. M. Kalita, A. F. Lozenko, P. A. Trotsenko, V. A. Stefanovich, M. Munakata, FNT, 36:8 (2010), 861–875 | DOI