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arXiv 2408.04533cond-mat.str-elcond-mat.dis-nn
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随机 $Q$ 模型中二维随机单态的动力标度行为

Dynamical scaling behavior of the two-dimensional random singlet state in the random $Q$ model

Chen Peng, Long Zhang

AI总结:

本文通过约束子空间更新算法研究二维随机单态的能量-长度标度关系,发现不同随机强度下的激发能隙数据坍缩到同一曲线,表明它们可能对应同一无限随机不动点。

摘要:

在这项工作中,我们研究了随机 $Q$ 模型的二维随机单态(RS)态中能量尺度和长度尺度的标度关系。为了研究由该模型产生的自旋子子系统的内禀能量尺度,我们在随机级数展开方法(SSE)框架内开发了一种约束子空间更新算法,以提取系统的单态-三重态能隙。二维 RS 态表现出类似于无限随机不动点(IRFP)的标度行为,至少在我们模拟的长度尺度范围内是如此。此外,通过根据随机性的强度重新标度系统尺寸,我们观察到激发能隙和能隙分布宽度的数据都坍缩到一条单一曲线上。这意味着具有不同随机性强度的模型可能对应于同一个不动点。

英文摘要:

In this work, we study the scaling relation of energy and length scales in the 2D random-singlet (RS) state of the random $Q$ model. To investigate the intrinsic energy scale of the spinon subsystem arising from the model, we develop a constrained subspace update algorithm within the framework of the stochastic series expansion method (SSE) to extract the singlet-triplet gap of the system. The 2D RS state exhibits scaling behavior similar to the infinite randomness fixed point (IRFP), at least within the length scales that we simulate. Furthermore, by rescaling the system size according to the strength of randomness, we observe that the data for the excitation gap and the width of the gap distribution collapse onto a single curve. This implies that the model with different strengths of randomness may correspond to the same fixed point.

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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