Quantum Heisenberg Chain with Long-Range Ferromagnetic Interactions at Low Temperature

Details Quantum Heisenberg Chain with Long-Range Ferromagnetic Interactions at Low Temperature Quantum Heisenberg Chain with Long-Range Ferromagnetic Interactions at Low Temperature

1993-11-15

arxiv.org/abs/cond-mat/9311034v1

Physics

Condensed Matter

17 pages(LaTeX REVTeX), 1 figure appended (PostScript), Technical Report of ISSP A-2745

Scientific paper

10.1103/PhysRevB.50.10331

A modified spin-wave theory is applied to the one-dimensional quantum Heisenberg model with long-range ferromagnetic interactions. Low-temperature properties of this model are investigated. The susceptibility and the specific heat are calculated; the relation between their behaviors and strength of the long-range interactions is obtained. This model includes both the Haldane-Shastry model and the nearest-neighbor Heisenberg model; the corresponding results in this paper are in agreement with the solutions of both the models. It is shown that there exists an ordering transition in the region where the model has longer-range interactions than the HS model. The critical temperature is estimated.

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