Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 155-161
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We investigate a physical system of two magnons in the one-dimensional anisotropic Heisenberg ferromagnet with the interaction up to two neighbours. We study the spectrum and bound states of the Hamiltonian of the two-magnon system. It is established that in some cases additional bound states can appear or disappear in comparison with the isotropic case.
[1] Bethe H. A., Z. Phys., 71 (1931), 205 | DOI
[2] Fukuda N., Wortis M., J. Phys. Chem. Solids, 24 (1963), 1675–1677 | DOI
[3] Wortis M., Phys. Rew., 132:1 (1963), 85–97 | DOI | MR
[4] Majumdar C. K., J. Math. Phys., 10 (1969), 117 | MR
[5] Ono J., Mikado S., Oguchi T., J. Phys. Soc. Japan, 30:8 (1971), 358 | DOI
[6] Gochev I. G., TMF, 15:1 (1973), 120–126
[7] Gochev I. G., ZhETF, 61:4(10) (1971), 1674
[8] Izyumov Yu. A., Skryabin Yu. N., Statisticheskaya mekhanika magnitouporyadochennykh sistem, Nauka, M., 1987 | MR