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摘要翻译：
研究了一维随机量子磁体中有限尺寸伪临界点的分布，量子相变由无限随机性不动点描述。伪临界点的定义有三种不同的方式：平均纠缠熵最大值的位置、表面磁化强度的标度行为和软模的能量。这三个参数都导致了伪临界横场的对数正态分布，其中宽度标度为$l^{-1/\nu}$,且为$\nu=2$,平均值标度的移位为$l^{-1/\nu_{typ}}$,且为$\nu_{typ}=1$,这与临界区域内平均量和典型量的标度有关。
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英文标题：
《Finite-size scaling of pseudo-critical point distributions in the random
transverse-field Ising chain》
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作者：
Ferenc Igl\'oi, Yu-Cheng Lin, Heiko Rieger, C\'ecile Monthus
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three different ways: the position of the maximum of the average entanglement entropy, the scaling behavior of the surface magnetization, and the energy of a soft mode. All three lead to a log-normal distribution of the pseudo-critical transverse fields, where the width scales as $L^{-1/\nu}$ with $\nu=2$ and the shift of the average value scales as $L^{-1/\nu_{typ}}$ with $\nu_{typ}=1$, which we related to the scaling of average and typical quantities in the critical region.
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PDF链接：
https://arxiv.org/pdf/704.1194
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