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Prog. Theor. Phys. Vol. 70 No. 3 (1983) pp. 697-709

[ Full Text PDF : FREE ACCESS (687K) ]

A Simplified Model of Phase Transition in Amorphous Antiferromagnets. I

Hikaru Kawamura

Department of Physics, University of Tokyo, Tokyo 113

(Received March 9, 1983)

Abstract:

A simplified statistical model for amorphous antiferromagnets is presented. The model consists of Ising spins on a spatially random lattice in two-dimensions which is constructed by closely packing the plane with equilateral triangles and squares (triangular-square lattice). Several thermodynamic properties are studied by using the Monte Carlo method. It is found that the system exhibits a cooperative spin freezing phenomenon at a certain finite temperature, whereas the uniform susceptibility rises monotonically without any remarkable anomaly as the temperature is decreased. Relations with some experimental results for amorphous antiferromagnets are discussed.


URL : http://ptp.ipap.jp/link?PTP/70/697/
DOI : 10.1143/PTP.70.697

[ Full Text PDF : FREE ACCESS (687K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1197-1206 :
    A Simplified Model of Phase Transition in Amorphous Antiferromagnets. II
    Hikaru Kawamura
  2. Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 311-318 :
    A Simplified Model of Phase Transition in Amorphous Antiferromagnets. III
    Hikaru Kawamura
  3. Progress of Theoretical Physics Vol. 78 No. 1 (1987) pp. 83-96 :
    Information Entropy and the Statistical Geometry of Two-Dimensional Liquids
    Robert Collins, Tohru Ogawa and Taeko Ogawa

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