The Free Energy and the Scaling Function of the Ferromagnetic Heisenberg Chain in a Magnetic Field
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概要
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A nonlinear susceptibilities (the third derivative of a magnetization m_s by a magnetic field h) of the S=1/2 ferromagnetic Heisenberg chain and the classical Heisenberg chain are calculated at low temperatures T. In both chains the nonlinear susceptibilities diverge as T^<-6> and a linear susceptibilities diverge as T^<-2>. The arbitrary spin S Heisenberg ferromagnet [ℋ=Σ^^N_<i=1>{-JS_iS_<i+1>-(h/S)S^Z_i}, (J>0)] has a scaling relation between m_s, h and T : m_s(T, h)=F(S^2Jh/T^2). The scaling function F(x)=(2x/3)-(44x^3/135)+O(x^5)is common to all values of spin S.
- 社団法人日本物理学会の論文
- 1994-07-15
著者
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TAKAHASHI Minoru
Institute for Solid State Physics, University of Tokyo
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Nakamura Hiroaki
Institute For Solid State Physics University Of Tokyo
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Takahashi Minoru
Institute For Solid Physics University Of Tokyo
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