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Magnetic phase diagram of frustrated spin-chain compounds. (English. Russian original) Zbl 1233.82011

Bull. Russ. Acad. Sci., Phys. 74, No. 1, 6-8 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Fiz. 74, No. 1, 12-14 (2010).
Summary: Generalizations of Glauber dynamics on the triangular lattice of Ising chains are considered. Magnetic moment relaxation and the response to an \(AC\) magnetic field in \(Ca_{3}Co_{2}O_{6}\) are investigated. It is shown that all of the main features of the dynamics of a frustrated lattice of spin chains can be described qualitatively in the framework of an extended two-dimensional model.

MSC:

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82D40 Statistical mechanics of magnetic materials
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
Full Text: DOI

References:

[1] Ovchinnikov, A.S., Bostrem, I.G., Sinitsyn, V.E., et al., Phys. Rev. B, 2006, vol. 74, p. 174427. · doi:10.1103/PhysRevB.74.174427
[2] Kawasaki, K., Phys. Rev., 1966, vol. 145, p. 224. · doi:10.1103/PhysRev.145.224
[3] Glauber, R.J., J. Mat. Phys., 1963, vol. 4, p. 294. · Zbl 0145.24003 · doi:10.1063/1.1703954
[4] Siewert, U. and Schimansky-Geier, L., Phys. Rev. E, 1998, vol. 58, p. 2843. · doi:10.1103/PhysRevE.58.2843
[5] Silva, J.K.L., Moreira, A.G., Soares, M.S., and Barreto, F.C.S., Phys. Rev. E, 1995, vol. 52, p. 4527. · doi:10.1103/PhysRevE.52.4527
[6] Caneschi, A., Gatteschi, D., Lalioti, N., et al., Ang. Chem. Int. Ed., 2001, vol. 40, p. 1760. · doi:10.1002/1521-3773(20010504)40:9<1760::AID-ANIE17600>3.0.CO;2-U
[7] Coulon, C., Miyasaka, H., and Clerac, R., Struct. Bond., 2006, vol. 122, p. 163. · doi:10.1007/430_030
[8] Bogani, L., Vindigni, A., Sessolia, R., and Gatteschi, D., J. Mat. Chem., 2008, vol. 18, p. 4733. · doi:10.1039/b807824f
[9] Mekata, M., J. Phys. Soc. Jpn., 1977, vol. 42, p. 76. · doi:10.1143/JPSJ.42.76
[10] Maignan, A., Hardy, V., He’bert, S., et al., J. Mat. Chem., 2004, vol. 14, p. 1231. · doi:10.1039/B316717H
[11] Cao, G., Durairaj, V., Chikara, S., et al., Phys. Rev. B, 2007, vol. 75, p. 134402. · doi:10.1103/PhysRevB.75.134402
[12] Kudasov, Yu.B., Phys. Rev. Lett., 2006, vol. 96, p. 27212. · doi:10.1103/PhysRevLett.96.027212
[13] Kudasov, Yu.B., Eur. Phys. Lett., 2007, vol. 78, p. 57005. · doi:10.1209/0295-5075/78/57005
[14] Kudasov, Yu.B., Korshunov, A.S., Pavlov, V.N., and Maslov, D.A., Phys. Rev. B, 2008, vol. 78, p. 132407. · doi:10.1103/PhysRevB.78.132407
[15] Hardy, V., Flahaut, D., Lees, M.R., and Petrenko, O.A., Phys. Rev. B, 2004, vol. 70, p. 214439. · doi:10.1103/PhysRevB.70.214439
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