Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field

Details Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field

1999-04-21

arxiv.org/abs/cond-mat/9904298v2

Eur. Phys. J. B 16, 435-438 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 PR pages, 4 figures, submitted to PRL

Scientific paper

10.1007/PL00011080

We simulated the field-dependent magnetization m(H,T) and the uniform susceptibility \chi(H,T) of classical Heisenberg antiferromagnets in the chain and square-lattice geometry using Monte Carlo methods. The results confirm the singular behavior of \chi(H,T) at small T,H: \lim_{T \to 0}\lim_{H \to 0} \chi(H,T)=1/(2J_0)(1-1/D) and \lim_{H \to 0}\lim_{T \to 0} \chi(H,T)=1/(2J_0), where D=3 is the number of spin components, J_0=zJ, and z is the number of nearest neighbors. A good agreement is achieved in a wide range of temperatures T and magnetic fields H with the first-order 1/D expansion results [D. A. Garanin, J. Stat. Phys. 83, 907 (1996)]

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