Bounds on the mass gap of the ferromagnetic XXZ chain

arXivcond-mat/9501098MaRDI QIDQ6466130

Bruno Nachtergaele

Publication date: 20 January 1995

Abstract: 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 $Deltaoinfty$. 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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