Abstract
To describe a quantum phase transition in a dimerized antiferromagnet, the formalism of the Landau theory of phase transitions has been applied. The energy of the ground state is minimized by varying the parameter of the mixing of the wavefunctions with different multiplicities. The critical behavior of the parameter of the wavefunction is responsible for the critical behavior of the observables.
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References
S. Sachdev, Quantum Phase Transitions (Cambridge Univ., Cambridge, 2000).
Quantum Magnetism, Ed. by U. Schollwck, J. Richter, D. J. J. Farnell, and R. F. Bishop (Springer, Berlin, Heidelberg, 2004).
S. M. Stishov, Usp. Fiz. Nauk 174, 853 (2004) [Phys. Usp. 47, 789 (2004)].
V. F. Gantmakher and V. T. Dolgopolov, Usp, Fiz. Nauk 178, 3 (2008) [Phys. Usp. 51, 3 (2008)].
S. A. Zvyagin, J. Wosnitza, A. K. Kolezhuk, et al., J. Phys.: Conf. Ser. 150, 042244 (2009).
X. F. Sun, W. Tao, X. M. Wang, and C. Fan, Phys. Rev. Lett. 102, 167202 (2009).
A. Paduan-Filho, K. A. Al-Hassanieh, P. Sengupta, and M. Jaime, Phys. Rev. Lett. 102, 077204 (2009).
A. Paduan-Filho, K. A. Al-Hassanieh, P. Sengupta, et al., J. Appl. Phys. 105, 07D501 (2009).
S. A. Zvyagin, J. Wosnitza, A. K. Kolezhuk, et al., Phys. Rev. B 77, 092413 (2008).
L. Yin, J. S. Xia, V. S. Zapf, et al., Phys. Rev. Lett. 101,187205 (2008).
S. A. Zvyagin, J. Wosnitza, C. D. Batista, et al., Phys. Rev. Lett. 98, 047205 (2007).
V. S. Zapf, D. Zocco, B. R. Hansen, et al., Phys. Rev. Lett. 96, 077204 (2006).
S. Cox, R. D. McDonald, M. Armanious, et al., Phys. Rev. Lett. 101, 087602 (2008).
B. Dorner, D. Visser, U. Stiegenberger, et al., Z. Phys. B 72, 487 (1988).
A. Harrison and D. Visser, J. Phys.: Condens. Matter 4, 6977 (1992).
Y. Tanaka, H. Tanaka, T. Ono, et al., J. Phys. Soc. Jpn. 70, 3068 (2001).
Y. Inagaki, S. Okubo, H. Ohta, and H. Tanaka, J. Phys. Soc. Jpn. 72, 127 (2003).
M. Chiba, T. Higuchi, K. Kitai, et al., Physica B 329–333, 950 (2003).
Y. Sasaki, K. Goto, T. Ono, et al., Prog. Theor. Phys. 159, 402 (2005).
M. Toda, Y. Fujii, S. Kawano, et al., Phys. Rev. B 71, 224426 (2005).
E. Meloche, C. M. Pinciuc, and M. L. Plumer, Phys. Rev. B 74, 094424 (2006).
M. Toda, Y. Fujii, M. Chiba, et al., J. Magn. Magn. Mater. 272-276, 378 (2004).
Han-Ting Wang and Yupeng Wang, J. Phys.: Condens. Matter 19, 386227 (2007).
T. Giamarchi, C. Rüegg, and O. Tchernyshyov, Nature Phys. 4, 198 (2008).
G. Misguich and M. Oshikawa, J. Phys. Soc. Jpn. 73, 3429 (2004).
A. Oosawa, T. Takamasu, K. Tatani, et al., Phys. Rev. B 66, 104405 (2002).
E. Ya. Sherman, P. Lemmens, B. Busse, et al., Phys. Rev. Lett. 91, 057201 (2003).
R. Dell’Amore, A. Schilling, and K. Krämer, Phys. Rev. B 79, 014438 (2009).
F. Yamada, T. Ono, H. Tanaka, et al., J. Phys. Soc. Jpn. 77, 013701 (2008).
H. Inoue, S. Tani, S. Hosoya, et al., Phys. Rev. B 79, 174418 (2009).
O. Nohadani, S. Wessel, and S. Haas, Phys. Rev. Lett. 95, 227201 (2005).
V. N. Glazkov, A. I. Smirnov, H. Tanaka, and A. Oosawa, Phys. Rev. B 69, 184410 (2004).
A. K. Kolezhuk, V. N. Glazkov, H. Tanaka, and A. Oosawa, Phys. Rev. B 70, 020403 (2004).
K. Goto, T. Osakabe, K. Kakurai, et al., J. Phys. Soc. Jpn. 76, 053704 (2007).
M. Matsumoto and M. Sigrist, J. Phys. Soc. Jpn. 74, 2310 (2005).
F. Yamada, Y. Ishii, T. Suzuki, et al., Phys. Rev. B 78, 224405 (2008).
V. M. Kalita and V. M. Loktev, Zh. Eksp. Teor. Fiz. 125, 1149 (2004) [JETP 98, 1006 (2004)].
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Original Russian Text © V.M. Kalita, V.M. Loktev, 2010, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 91, No. 4, pp. 196–200.
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Kalita, V.M., Loktev, V.M. On the theory of the magnetization of dimerized magnets. Jetp Lett. 91, 183–187 (2010). https://doi.org/10.1134/S0021364010040053
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DOI: https://doi.org/10.1134/S0021364010040053