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首页> 外文期刊>Physical review.B.Condensed matter and materials physics >Ground-state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system
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Ground-state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system

机译：地面能量密度，易感性和二维无序量子旋转系统的威尔逊比率

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摘要

A two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model with a specific kind of quenched disorder is investigated, using the first-principles nonperturbative quantum Monte Carlo calculations (QMCs). The employed disorder distribution has a tunable parameter p which can be considered as a measure of randomness (p = 0 correponds to the clean model). Through large-scale QMCs, the dynamic critical exponents z, the ground-state energy densities E_0, and the Wilson ratios W of various p are determined with high precision. Interestingly, we find that the p dependencies of z and W are likely to be complementary to each other. For instance, while the z values of 0.4 ≤ p ≤ 0.9 match well among themselves and are statistically different from that of p = 0, the W values for p ＜ 0.7 are in reasonably good agreement with W ～ 0.１243 of the clean case. Surprisingly, our study indicates that a threshold of randomness, p_w, associated with W exists. In particular, beyond this threshold the magnitude of W grows with p. This is somehow counterintuitive since one expects the spin correlations should diminish accordingly. Similarly, there is a threshold p_z related to z after which a constant value is obtained for z. The results presented here are not only interesting from a theoretical perspective but also can serve as benchmarks for future related studies.
机译：利用第一原理非威胁量子蒙特卡罗计算（QMC），研究了具有特异性淬火病症的特异性淬火病症的二维（2D）旋转1/2反铁磁伯伯格模型。所用的紊乱分布具有可调谐参数P，可以被认为是随机性的量度（P = 0核化模型中的核心型）。通过大规模的QMCS，通过高精度确定各种P的动态临界指数z，地态能量密度E_0和各种P的威尔逊比率W。有趣的是，我们发现Z和W的P依赖性可能彼此互补。例如，虽然Z值为0.4≤p≤0.9，但它们之间匹配良好，并且与p = 0的统计学不同，但P <0.7的W值与清洁壳的W〜0.1243相当好的协议。令人惊讶的是，我们的研究表明，存在与W相关联的随机性P_W的阈值。特别是，除此之外，W的大小与p一起生长。这是以某种方式违反直觉，因为人们期望旋转相关性应该相应地减少。类似地，存在与Z相关的阈值P_Z，之后获得z的恒定值。此处呈现的结果不仅是理论观点的有趣，而且可以作为未来相关研究的基准。

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  • 来源
    《Physical review.B.Condensed matter and materials physics》 |2020年第21期|214206.1-214206.9|共9页
  • 作者

    J.-H. Peng; D.-R. Tan; F.-J. Jiang;

  • 作者单位

    Department of Physics National Taiwan Normal University 88 Sec.4 Ting-Chou Road Taipei 116 Taiwan;

    Department of Physics National Taiwan Normal University 88 Sec.4 Ting-Chou Road Taipei 116 Taiwan;

    Department of Physics National Taiwan Normal University 88 Sec.4 Ting-Chou Road Taipei 116 Taiwan;

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