Geodesic
Exact solution for linear quadrupole model of ising type
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 135-141 
V. A. Dobrovol'skii; A. R. Kessel. Exact solution for linear quadrupole model of ising type. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 135-141. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a14/
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     title = {Exact solution for linear quadrupole model of ising type},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Green's function method is used to obtain an exact solution for a linear system of particles that have angular momentum unity and interact with nearest neighbors through the diagonal part of the quadrupole-quadrupole interaction operator. Exact expressions are found for the energy, order parameter, and some of the correlation functions in the whole range of temperatures.

[1] J. C. Raich, R. D. Etters, Phys. Rev., 155 (1967), 457 ; 169 (1968), 425 | DOI | DOI

[2] J. Bell, Phys. Rev., 158 (1967), 530 | DOI

[3] K. Valyasek, A. L. Kuzemskii, TMF, 4 (1970), 383

[4] V. S. Yarunin, TMF, 5 (1970), 305

[5] A. R. Kessel, M. A. Korchemkin, FTT, 13 (1971), 3402

[6] H. H. Chen, P. M. Levy, Phys. Rev. Lett., 27, 1383 ; (1971), 1385 | DOI

[7] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 193; 26 (1968), 589 | MR

[8] T. Oguchi, I. Ono, Progr. Theor. Phys., 35 (1966), 988 | DOI

[9] M. P. Zhelifonov, TMF, 8 (1971), 401

[10] D. N. Zubarev, UFN, 71 (1960), 71 | DOI | MR

[11] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1965 | MR

[12] M. P. Zhelifonov, A. R. Kessel, Vsesoyuznaya konferentsiya po magnetizmu, tezisy (Krasnoyarsk, 20–29 iyulya 1971), 33