Orientation ordering and the transition to the orientational glass
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 2, pp. 356-368 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a model for describing the low-temperature transition to the orientational glass state in solid molecular $\mathrm{C}_{60}$ in the framework of a theory similar to spin glass theory. We find a replica symmetric solution and also break the replica symmetry. The obtained results agree with experimental data on the partial retention of the orientational long-range order in the glass phase and on the presence of a broad maximum on the curve corresponding to the temperature dependence of the orientational part of the heat capacity.
Keywords: fullerene, spin glass.
Mots-clés : orientational long-range order, orientational glass
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E. E. Tareeva; T. I. Shchelkacheva; N. M. Shchelkachev. Orientation ordering and the transition to the orientational glass. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 2, pp. 356-368. http://geodesic.mathdoc.fr/item/TMF_2008_155_2_a13/

[1] B. Sundqvist, Adv. Phys., 48:1 (1999), 1–134 | DOI

[2] R. Moret, Acta Cryst. A, 61 (2005), 62–76 | DOI

[3] T. Yildirim, A. B. Harris, Phys. Rev. B, 46:12 (1992), 7878–7896 | DOI

[4] S. L. Chaplot, L. Pintschovious, Internat. J. Modern Phys. B, 13:3 (1999), 217–251 | DOI

[5] P. Launois, S. Ravy, R. Moret, Internat. J. Modern Phys. B, 13:3 (1999), 253–281 | DOI

[6] P. A. Heiney, J. E. Fischer, A. R. McGhie et al., Phys. Rev. Lett., 66:22 (1991), 2911–2914 | DOI

[7] R. Sachidanandam, A. B. Harris, Phys. Rev. Lett., 67:11 (1991), 1467 | DOI

[8] A. B. Harris, Physica A, 205:1–3 (1994), 154–182 | DOI

[9] F. Gugenberger, R. Heid, C. Meingast et al., Phys. Rev. Lett., 69:26 (1992), 3774–3777 | DOI

[10] W. I. F. David, R. M. Ibberson, T. J. S. Dennis et al., Europhys. Lett., 18 (1992), 219–225 | DOI

[11] W. I. F. David, R. M. Ibberson, J. Phys.: Condens. Matter, 5:43 (1993), 7923–7928 | DOI

[12] W. I. F. David, R. M. Ibberson, T. Matsuo, Proc. Math. Phys. Sci., 442:1914 (1993), 129–146 | DOI

[13] N. A. Aksenova, A. P. Isakina, A. I. Prokhvatilov, M. A. Strzhemechnyi, Fiz. nizk. temp., 25:8-9 (1999), 964–975

[14] L. Pintschovius, S. L. Chaplot, G. Roth, M. Haluska, H. Kuzmany, Phys. Scripta, 57 (1995), 102–106 | DOI

[15] T. Matsuo, H. Suga, N. I. F. David, R. M. Ibberson et al., Solid State Commun., 83:9 (1992), 711–715 | DOI | MR

[16] B. V. Lebedev, K. B. Zhogova, T. A. Bykova i dr., Izv. RAN. Ser. khim., 9 (1996), 2229–2233

[17] R. C. Yu, N. Tea, M. B. Salamon et al., Phys. Rev. Lett., 68:13 (1992), 2050–2053 | DOI

[18] E. A. Lutchinskaia, V. N. Ryzhov, E. E. Tareyeva, J. Phys. C, 17:26 (1984), L665–L667 ; Е. А. Лучинская, В. Н. Рыжов, Е. Е. Тареева, ТМФ, 67:3 (1986), 463–469 ; E. A. Lutchinskaia, E. E. Tareyeva, Phys. Rev. B, 52:1 (1995), 366–373 | DOI | DOI | MR | DOI | MR

[19] T. I. Schelkacheva, Pisma v ZhETF, 76:6 (2002), 434–436 | DOI

[20] E. E. Tareeva, T. I. Schelkacheva, TMF, 121:3 (1999), 479–491 | DOI

[21] T. I. Schelkacheva, E. E. Tareyeva, Phys. Rev. B, 61:5 (2000), 3143–3146 | DOI

[22] D. Sherrington, S. Kirkpatrick, Phys. Rev. Lett., 35:26 (1975), 1792–1796 ; S. Kirkpatrick, D. Sherrington, Phys. Rev. B, 17:11 (1978), 4384–4403 | DOI | DOI

[23] S. Lapinskas, E. E. Tornau, A. Rosengren, Phys. Rev. B, 49:14 (1994), 9372–9375 | DOI

[24] R. Heid, Phys. Rev. B, 47:23 (1993), 15912–15922 | DOI

[25] V. L. Aksenov, Yu. A. Osipyan, V. S. Shakhmatov, Pisma v ZhETF, 64:2 (1996), 110–115 | DOI

[26] S. F. Edwards, P. W. Anderson, J. Phys. F, 5:5 (1975), 965–974 | DOI | MR

[27] M. Mézard, G. Parisi, M. Virasoro, Spin Glass Theory and Beyond, Lecture Notes in Phys., 9, World Scientific, Singapore, 1987 | MR | Zbl

[28] N. V. Gribova, V. N. Ryzhov, T. I. Schelkacheva, E. E. Tareyeva, Phys. Lett. A, 315:6 (2003), 467–473 | DOI | Zbl

[29] B. V. Lebedev, A. V. Markin, V. A. Davydov et al., Thermochimica Acta, 399:1–2 (2003), 99–108 | DOI

[30] V. A. Davydov, L. S. Kashevarova, A. V. Rakhmanina et al., Phys. Rev. B, 61:18 (2000), 11936–11945 | DOI

[31] A. V. Markin, N. N. Smirnova, B. V. Lebedev et al., Thermochimica Acta, 411:1 (2004), 101–108 | DOI