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Investigation of a universal behavior between Néel temperature and staggered magnetization density for a three-dimensional quantum antiferromagnet

Abstract

We simulate the three-dimensional quantum Heisenberg model with a spatially anisotropic ladder pattern using the first principles Monte Carlo method. Our motivation is to investigate quantitatively the newly established universal relation T N /√c 3 ∝ ℳ s near the quantum critical point (QCP) associated with dimerization. Here T N , c, and ℳ s are the Néel temperature, the spinwave velocity, and the staggered magnetization density, respectively. For all the physical quantities considered here, such as T N and ℳ s , our Monte Carlo results agree nicely with the corresponding results determined by the series expansion method. In addition, we find it is likely that the effect of a logarithmic correction, which should be present in (3 + 1)-dimensions, to the relation T N /√c 3 ∝ ℳ s near the investigated QCP only sets in significantly in the region with strong spatial anisotropy.

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Correspondence to F.J. Jiang.

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Kao, M., Jiang, F. Investigation of a universal behavior between Néel temperature and staggered magnetization density for a three-dimensional quantum antiferromagnet. Eur. Phys. J. B 86, 419 (2013). https://doi.org/10.1140/epjb/e2013-40726-6

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  • DOI: https://doi.org/10.1140/epjb/e2013-40726-6

Keywords

  • Solid State and Materials