旋转玻璃的性质按物理尺寸进行排序
Bharadwaj Vedula1, M A Moore2, Auditya Sharma1
1Indian Institute of Science Education and Research, Bhopal, Department of Physics, Madhya Pradesh 462066, India.
Physical review. E
|April 18, 2025
概括
这项研究在随机场下研究了海森堡旋转玻璃模型,在更大的系统大小中发现了标准理论的偏差. 这些与复制对称性破坏相关的偏差在较大的系统中消失为 σ=0.85,这表明旋转镜中的有限尺寸效应.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
- 无序的系统是无序的系统.
背景情况:
- 海森伯格旋转玻璃模型是理解磁性障碍的一个关键系统.
- 远程相互作用和随机场引入复杂的行为.
- 德阿尔梅达-图勒斯直线和滴滴缩放图是已建立的理论框架.
研究的目的:
- 为了研究稀释的海森堡旋转玻璃模型在一个具有三元随机场的单维远程系统中的行为.
- 检查系统大小对自旋玻璃相关长度和理论预测偏差的影响.
- 探索有限尺寸效应,复制对称性破坏和旋转眼镜中的滴滴缩放之间的联系.
主要方法:
- 一维远程海森堡自旋玻璃模型的模拟,相互作用衰变为1/r^{2σ}.
- 分析旋转玻璃相关长度 (ξ_{SG}) 作为随机场强度和系统大小 (L) 的函数.
- 将模拟结果与Imry-Ma论证,滴滴缩放图片和复制对称性破坏理论进行比较.
主要成果:
- 旋转玻璃相关长度通常遵循来自Imry-Ma参数和滴滴缩放的预测.
- 当 ξ_{SG} 接近系统大小 L. 时,与这些预测的偏离发生.
- 对于 σ=0.85,这些偏差在系统大小 L > L* (≈4000-8000 格子间距) 时会消失.
- 对于 σ=0.75,无法研究足够大的系统来确定 L*.
结论:
- 有限尺寸效应显著影响旋转玻璃的行为,特别是在较低的维度.
- 观察到的偏差归因于复制对称性破坏的特征,可能来自于滴滴缩放上有限大小的影响.
- 为了解释这些现象,提出了一个重新规范化群体场景,将有限大小的效应与帕里西的复制对称性破坏理论的各个方面联系起来.
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