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Validity of the Harris criterion for two-dimensional quantum spin systems with quenched disorder

机译：具有淬火病症的二维量子旋转系统的哈里斯标准的有效性

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摘要

Inspired by the recent results regarding whether the Harris criterion is valid for quantum spin systems, we have simulated a two-dimensional spin-1/2 Heisenberg model on the square lattice with a specific kind of quenched disorder using the quantum Monte Carlo calculations. In particular, the considered quenched disorder has a tunable parameter 0 ≤ p ≤ 1 which can be considered as a measure of randomness. Interestingly, when the magnitude of p increases from 0 to 0.95, at the associated quantum phase transitions the numerical value of the correlation length exponent ⅴ grows from a number compatible with the O(3) result 0.7112(5) to a number slightly greater than 1. In other words, by varying p, ⅴ can reach an outcome between 0.7112(5) and 1 (or greater). Furthermore, among the studied values of p, all the associated ⅴ violate the Harris criterion except the ones corresponding to p ≥ 0.9. Considering the form of the employed disorder here, the above described scenario should remain true for other randomness if it is based on an idea similar to the one used in this study. This is indeed the case according to our preliminary results stemming from investigating another disorder distribution.
机译：灵感来自最近的结果，关于哈里斯标准是否适用于量子旋转系统，我们已经使用量子蒙特卡罗计算模拟了方形格子上的二维旋转1/2 Heisenberg模型，使用量子蒙特卡罗计算。特别地，所考虑的淬火病症具有可调谐参数0≤p≤1，其可以被认为是随机性的量度。有趣的是，当P的幅度从0到0.95增加时，在相关的量子相转变时，相关长度指数的数值从与O（3）结果0.7112（5）兼容的数字略大于换句话说，通过不同的p，ⅴ可以达到0.7112（5）和1（或更大）之间的结果。此外，在P的研究中，除了对应于P≥0.9的情况外，所有相关的ⅴ都违反了哈里斯标准。考虑到在此处的使用障碍的形式，如果基于类似于本研究中使用的想法，则上述情况对于其他随机性应保持真实。根据我们促进另一种疾病分布的初步结果，这确实如此。

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  • 来源
    《Physical review》 |2020年第17期|174404.1-174404.9|共9页
  • 作者

    Jhao-Hong Peng; L.-W. Huang; D.-R. Tan; F.-J. Jiang;

  • 作者单位

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

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

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

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

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