Abstract
Finite spin chains up to N=28 spins, have been solved in exact numerical form by means of the Lanczos method, in the whole axial-anisotropic region of the XXZ model. We obtain the finite-size behavior of the mass gap as a function of the anistropy, yielding a leading exponential dependence with size. At the isotropic point, size effects are in the form of power-law and logarithmic corrections. Long-range order is estimated through the correlation functions of the finite chain.
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