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

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

1995-01-06

arxiv.org/abs/cond-mat/9501013v1

Journal of the Physical Society of Japan 64, 1955(1995)

Physics

Condensed Matter

14 pages (revtex 2.0) + 8 PS figures upon request.

Scientific paper

10.1143/JPSJ.64.1955

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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