Abstract Based upon the spin wave theory, the influence of the size of a three-dimensional Heisenberg system on its thermodynamic properties was studied. It is found that the specific heat increases due to the finite size and free surface of the system. For a magnetic film with finite thickness, the interaction of spin waves was also discussed. There exist three additional scattering processes, namely, the scattering between spin waves with wave-vectors parallel to the surface of the film (two-dimensional spin wave), the scattering between two and three-dimensional waves, and the scattering between those waves with the same component in the direction along the thickness of the film. As a result, the T4 term, arising from the coupling of spin waves, in the expression of the specific heat of the system, splite into three parts proportional to T5/2,T7/2 and T4, respectively. Here T is the temperature.
Received: 18 October 1994
Accepted manuscript online:
(Quantized spin models, including quantum spin frustration)
Fund: Project supported by the National Scaling Project of Nanocrystal Materials of China.
Cite this article:
SUN JI-RONG (孙继荣), WEI YU-NIAN (魏玉年), PU FU-CHO (蒲富恪) SPECIFIC HEAT OF A HEISENBERG SYSTEM WITH FINITE SIZE 1995 Acta Physica Sinica (Overseas Edition) 4 542
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