Crossover to mean-field behavior at marginal dimensionality

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1 April 1982

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 25 (7) , 4905-4907
https://doi.org/10.1103/physrevb.25.4905

Abstract

The effective critical exponent

γ_{eff} = d \ln \frac{χ^{- 1}}{d} \ln t

, where

χ

is the magnetic susceptibility and

t = \frac{(T - T_{c})}{T_{c}}

is the reduced temperature, has been measured for the first time in the broad region

0.001 <~ t <~ 25

in the uniaxial dipolar Ising ferromagnets LiTb

F_{4}

and

{D y (C_{2} H_{5} S O_{4})}_{3}

· 9

H_{2}

O. For LiTb

F_{4}

a distinct maximum is found in the

t

dependence of

γ_{eff}

which remains to be explained theoretically in a satisfactory way.

Keywords

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