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arXiv 1005.5484cond-mat.str-elcond-mat.dis-nncond-mat.stat-mech
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层状海森堡磁体中幂律Griffiths奇异性的证据

Evidence for power-law Griffiths singularities in a layered Heisenberg magnet

Fawaz Hrahsheh, Hatem Barghathi, Priyanka Mohan, Rajesh Narayanan, Thomas Vojta

摘要:

研究了随机分层海森堡模型中的铁磁相变。最近的强无序重整化群方法[Phys.Rev.B81,144407(2010)]预测该系统中的临界点是奇异的无限随机类型,并伴随着强幂律Griffiths奇异性。在这里,我们报告的蒙特卡罗模拟,提供支持这些预测的数值证据的结果。具体而言,我们研究的有限尺寸标度行为的磁化率,其特征在于在格里菲斯阶段的非普遍幂律发散。此外,我们还计算了自旋的时间自相关函数。它的特点是在格里菲思阶段非常缓慢的衰减,遵循时间上的非普适幂律。

英文摘要:

We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic infinite-randomness type and is accompanied by strong power-law Griffiths singularities. Here, we report results of Monte-Carlo simulations that provide numerical evidence in support of these predictions. Specifically, we investigate the finite-size scaling behavior of the magnetic susceptibility which is characterized by a non-universal power-law divergence in the Griffiths phase. In addition, we calculate the time autocorrelation function of the spins. It features a very slow decay in the Griffiths phase, following a non-universal power law in time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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