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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

Type of Publication: Journal article
URI (citable link): http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-92654
Author: Hinzke, Denise; Nowak, Ulrich; Garanin, D.
Year of publication: 2000
Published in: European Physical Journal / B ; 16 (2000), 3. - pp. 435-438
DOI (citable link): https://dx.doi.org/10.1007/PL00011080
Summary:
We simulated the field-dependent magnetization m(H,T) and the uniform susceptibility x(H,T) of classical Heisenberg antiferromagnets in the chain and square-lattice geometry using Monte Carlo methods. The results confirm the singular behavior of x(H,T) at small T,H: limT -> 0 limH->0 x(H,T) = 1/(2J0)(1-1/D) and limH ->0 lim T->0 x(H,T) = 1/(2J0), where D = 3 is the number of spin components, J0 = 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)).
PACS Classification: 75.50.Ee A; 75.10.Hk C; 75.40.Mg N
Subject (DDC): 530 Physics
Link to License: In Copyright

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HINZKE, Denise, Ulrich NOWAK, D. GARANIN, 2000. Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field. In: European Physical Journal / B. 16(3), pp. 435-438. Available under: doi: 10.1007/PL00011080

@article{Hinzke2000Unifo-4738, title={Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field}, year={2000}, doi={10.1007/PL00011080}, number={3}, volume={16}, journal={European Physical Journal / B}, pages={435--438}, author={Hinzke, Denise and Nowak, Ulrich and Garanin, D.} }

Nowak, Ulrich 2011-03-24T14:49:59Z 2011-03-24T14:49:59Z eng application/pdf Garanin, D. Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field First publ. in: European Physical Journal / B 16 (2000), 3, pp. 435-438 Garanin, D. 2000 Hinzke, Denise Nowak, Ulrich terms-of-use Hinzke, Denise We simulated the field-dependent magnetization m(H,T) and the uniform susceptibility x(H,T) of classical Heisenberg antiferromagnets in the chain and square-lattice geometry using Monte Carlo methods. The results confirm the singular behavior of x(H,T) at small T,H: limT -> 0 limH->0 x(H,T) = 1/(2J0)(1-1/D) and limH ->0 lim T->0 x(H,T) = 1/(2J0), where D = 3 is the number of spin components, J0 = 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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