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Universal Finite-Size Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field,

H. Nakamura·N. Hatano·M. Takahashi
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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 $S=\infty.$ The universality is checked for $S=1/2$ and $1$ by means of numerical calculations. Critical exponents are obtained as well. It is concluded that this universal scaling function originates in the universal behavior of the correlation function.

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H. Nakamura, N. Hatano, M. Takahashi. 1995-01-06. Universal Finite-Size Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field,. https://doi.org/10.1143/jpsj.64.1955

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