Publikation: Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field
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2000
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European Physical Journal / B. 2000, 16(3), pp. 435-438. Available under: doi: 10.1007/PL00011080
Zusammenfassung
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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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. 2000, 16(3), pp. 435-438. Available under: doi: 10.1007/PL00011080BibTex
@article{Hinzke2000Unifo-4738,
year={2000},
doi={10.1007/PL00011080},
title={Uniform susceptibility of classical antiferromagnets in one and two dimensions in a magnetic field},
number={3},
volume={16},
journal={European Physical Journal / B},
pages={435--438},
author={Hinzke, Denise and Nowak, Ulrich and Garanin, D.}
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<dcterms:abstract xml:lang="eng">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)).</dcterms:abstract>
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