Geodesic
Thermodynamic properties of a~one-dimensional Heisenberg system with long-range interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 3, pp. 434-442

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The thermodynamic properties of one-dimensional systems with long-range exchange interaction between classical spins are considered. The transfer matrix method is used to calculate the state function, whose functional integral is transformed into an equivalent integral with nearest-neighbor interaction. At low temperatures, it is shown that with increasing range $\gamma^{-1}$ of the exchange interaction the contribution of the Bloch domain walls to the free energy decreases exponentially. The correlation lengths are obtained as functions of $\gamma^{-1}$. 
@article{TMF_1983_54_3_a11,
     author = {R. S. Gekht},
     title = {Thermodynamic properties of a~one-dimensional {Heisenberg} system with long-range interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {434--442},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_3_a11/}
}
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R. S. Gekht. Thermodynamic properties of a~one-dimensional Heisenberg system with long-range interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 3, pp. 434-442. http://geodesic.mathdoc.fr/item/TMF_1983_54_3_a11/