Geodesic
Spin excitations in an~anisotropic $J_1$--$J_2$ Heisenberg model
Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 2, pp. 306-322

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We investigate the spin-wave excitation spectrum in an antiferromagnet for the anisotropic $J_1$–$J_2$ and isotropic quasi-two-dimensional Heisenberg models with an arbitrary spin $S$. We consider the random phase approximation (Tyablikov decoupling) and the linear spin-wave approximation. We calculate the temperature dependence of the magnetization and the Néel temperature and compare it with experimental results for high-temperature cuprate superconductors and iron-based compounds.
Keywords: anisotropic $J_1$–$J_2$ Heisenberg model, spin-wave excitations, Néel temperature.
Mots-clés : antiferromagnet 
@article{TMF_2013_177_2_a6,
     author = {A. A. Vladimirov and D. Ihle and N. M. Plakida},
     title = {Spin excitations in an~anisotropic $J_1$--$J_2$ {Heisenberg} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {306--322},
     publisher = {mathdoc},
     volume = {177},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_177_2_a6/}
}
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A. A. Vladimirov; D. Ihle; N. M. Plakida. Spin excitations in an~anisotropic $J_1$--$J_2$ Heisenberg model. Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 2, pp. 306-322. http://geodesic.mathdoc.fr/item/TMF_2013_177_2_a6/