New family of solvable 1D Heisenberg models

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Original languageEnglish
Pages (from-to)L801-L807
Number of pages7
JournalJournal of Physics A: General Physics
Volume27
Issue number21
Publication statusPublished - 7 Nov 1994

Abstract

Starting from a Calogero-Sutherland model with the hyperbolic interaction confined by an external field with Morse potential, we construct a Heisenberg spin chain with exchange interaction varies as 1/sinh2x on a lattice given in terms of the zeros of Laguerre polynomials. Varying the strength of the Morse potential, the Haldane-Shastry and harmonic spin chains are reproduced. The spectrum of the models in this class is found to be that of a classical one-dimensional Ising chain with non-uniform nearest-neighbour coupling in a non-uniform magnetic field which allows us to study the thermodynamics in the limit of infinite chains.

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Cite this

New family of solvable 1D Heisenberg models. / Frahm, H.; Inozemtsev, V. I.
In: Journal of Physics A: General Physics, Vol. 27, No. 21, 07.11.1994, p. L801-L807.

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Frahm, H & Inozemtsev, VI 1994, 'New family of solvable 1D Heisenberg models', Journal of Physics A: General Physics, vol. 27, no. 21, pp. L801-L807. https://doi.org/10.1088/0305-4470/27/21/003
Frahm, H., & Inozemtsev, V. I. (1994). New family of solvable 1D Heisenberg models. Journal of Physics A: General Physics, 27(21), L801-L807. https://doi.org/10.1088/0305-4470/27/21/003
Frahm H, Inozemtsev VI. New family of solvable 1D Heisenberg models. Journal of Physics A: General Physics. 1994 Nov 7;27(21):L801-L807. doi: 10.1088/0305-4470/27/21/003
Frahm, H. ; Inozemtsev, V. I. / New family of solvable 1D Heisenberg models. In: Journal of Physics A: General Physics. 1994 ; Vol. 27, No. 21. pp. L801-L807.
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