Spectrum of a spin chain with inverse square exchange

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Original languageEnglish
Pages (from-to)L473-L479
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number10
Publication statusPublished - 21 May 1993

Abstract

The spectrum of a one-dimensional chain of SU(n) spins positioned at the static equilibrium positions of the particles in a corresponding classical Calogero system with an exchange interaction inversely proportional to the square of their distance is studied. As in the translationally invariant Haldane--Shastry model the spectrum is found to exhibit a very simple structure containing highly degenerate ``super-multiplets''. The algebra underlying this structure is identified and several sets of raising and lowering operators are given explicitely. On the basis of this algebra and numerical studies we give the complete spectrum and thermodynamics of the SU(2) system.

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Spectrum of a spin chain with inverse square exchange. / Frahm, H.
In: Journal of Physics A: Mathematical and General, Vol. 26, No. 10, 21.05.1993, p. L473-L479.

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Frahm, H 1993, 'Spectrum of a spin chain with inverse square exchange', Journal of Physics A: Mathematical and General, vol. 26, no. 10, pp. L473-L479. https://doi.org/10.1088/0305-4470/26/10/002
Frahm, H. (1993). Spectrum of a spin chain with inverse square exchange. Journal of Physics A: Mathematical and General, 26(10), L473-L479. https://doi.org/10.1088/0305-4470/26/10/002
Frahm H. Spectrum of a spin chain with inverse square exchange. Journal of Physics A: Mathematical and General. 1993 May 21;26(10):L473-L479. doi: 10.1088/0305-4470/26/10/002
Frahm, H. / Spectrum of a spin chain with inverse square exchange. In: Journal of Physics A: Mathematical and General. 1993 ; Vol. 26, No. 10. pp. L473-L479.
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