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

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.

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

References in corpus (1)

• The Free Energy and the Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field

Cited by in corpus (5)

• Universal low-temperature properties of quantum and classical ferromagnetic chains
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
• Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
• Universal Finite-Size Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field. II