Abstract

The finite-size scaling function of the magnetization of the ferromagnetic Heisenberg chain is argued to be universal with respect to the magnitude of the spin. The finite-size scaling function is given explicitly by an analytical calculation in the classical limit S =∞ . The universality is checked for S =1/2 and 1 by means of numerical calculations. Critical exponents are also obtained. It is concluded that this universal scaling function originates in the universal behavior of the correlation function.

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