The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field

Details The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field

1998-03-18

arxiv.org/abs/cond-mat/9803229v1

J. Stat. Phys., Vol. 83, 907--931 (1996)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The field-dependent magnetization m(H,T) of 1- and 2-dimensional classical magnets described by the $D$-component vector model is calculated analytically in the whole range of temperature and magnetic fields with the help of the 1/D expansion. In the 1-st order in 1/D the theory reproduces with a good accuracy the temperature dependence of the zero-field susceptibility of antiferromagnets \chi with the maximum at T \lsim |J_0|/D (J_0 is the Fourier component of the exchange interaction) and describes for the first time the singular behavior of \chi(H,T) at small temperatures and magnetic fields: \lim_{T\to 0}\lim_{H\to 0} \chi(H,T)=1/(2|J_0|)(1-1/D) and \lim_{H\to 0}\lim_{T\to 0} \chi(H,T)=1/(2|J_0|).

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