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首页> 外文期刊>Journal of statistical mechanics: Theory and Experiment >PAPER: Classical statistical mechanics, equilibrium and non-equilibrium A long-range model with energy– spin coupling and critical properties of hexagonal antiferromagnetic manganites
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PAPER: Classical statistical mechanics, equilibrium and non-equilibrium A long-range model with energy– spin coupling and critical properties of hexagonal antiferromagnetic manganites

机译:纸质:典型统计力学,平衡和非平衡的远程模型,具有六角形反铁磁性锰矿的能源 - 自旋耦合和关键性质

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摘要

We investigate the critical properties of a model Hamiltonian involving a four-spin term with long-range interaction together with energy– spin coupling. Employing Wilson’s momentum-shell decimation scheme at oneloop order, we perform a renormalization-group analysis and obtain the critical exponents corresponding to the non-trivial fixed point. We find that the specific heat exponent α lies in the negative range ?0.20 < α < 0 in the allowed range of a parameter ρ ocurring in the four-spin long-range coupling. This predicted theoretical range is consistent with the range ?0.19 ≤ α ≤ ?0.09 observed in the thermal measurements of Oleaga et al (2012 Phys. Rev. B 85 184425) in the vicinity of the Néel temperatures of various experimental samples of hexagonal antiferromagnetic manganites.
机译:我们调查模型Hamiltonian的关键特性,涉及四个旋转术语,与能量 - 自旋耦合一起进行远程相互作用。 在Oneloop顺序采用Wilson的势头 - 壳抽取方案,我们执行重新运行组分析,并获得与非琐碎的定点对应的临界指数。 我们发现特定的热指数α位于负范围内α在四旋转远程耦合中的参数ρ的允许范围内0.20 <α<0。 该预测的理论范围与六角形反铁磁性锰酸盐的各种实验样品的Néel温度附近,观察到α01.19≤α≤0.09在六角形反铁磁锰矿石的各种实验样品的Néel温度附近观察到的范围?0.19≤α≤0.09 。

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