Approximating parabolas as natural bounds of Heisenberg spectra: Reply on the comment of O. Waldmann

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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2 pages, accepted for Europhysics Letters

Scientific paper

10.1209/epl/i2002-00507-2

O. Waldmann has shown that some spin systems, which fulfill the condition of a weakly homogeneous coupling matrix, have a spectrum whose minimal or maximal energies are rather poorly approximated by a quadratic dependence on the total spin quantum number. We comment on this observation and provide the new argument that, under certain conditions, the approximating parabolas appear as natural bounds of the spectrum generated by spin coherent states.

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