Bounds on the mass gap of the ferromagnetic XXZ chain

Physics – Condensed Matter

Scientific paper

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18 pages, LaTeX, 1 figure as uuencoded compressed Postscript file

Scientific paper

We prove rigorous lower and upper bounds for the mass gap of the
ferromagnetic spin 1/2 XXZ chain. The two bounds coincide asymptotically in the
Ising limit $\Delta\to\infty$. Near the isotropic point, $\Delta=1$, the
estimates are good enough to determine the critical behaviour of the mass gap
unambiguously. The derivation does not rely on exact solutions.

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