论文标题
安德森过渡的普遍课程是由非铁人疾病驱动的
Universality classes of the Anderson Transitions Driven by non-Hermitian Disorder
论文作者
论文摘要
非热性与混乱之间的相互作用在凝结物理学中起重要作用。在这里，我们报告了安德森（Anderson）过渡的普遍关键行为，由三维（3D）Anderson模型和3D U（1）模型驱动的Anderson过渡的普遍行为，该模型属于3D类$ {。基于级别统计和有限尺寸的缩放分析，长度尺度的关键指数估计为$ν= 0.99 \ pm 0.05 $的$ {\ rm ai}^{\ rm ai}^{\ dagger} $，$ν= 1.09 \ pm 0.05 $ 0.05 $ class a，这两种级别与3D或3D的关键体系均明显不同。另外，还研究了光谱刚度，水平间距分布和水平间距比分布。这些批判行为强烈支持非热性改变安德森过渡的普遍性类别。
An interplay between non-Hermiticity and disorder plays an important role in condensed matter physics. Here, we report the universal critical behaviors of the Anderson transitions driven by non-Hermitian disorders for three dimensional (3D) Anderson model and 3D U(1) model, which belong to 3D class ${\rm AI}^{\dagger}$ and 3D class A in the classification of non-Hermitian systems, respectively. Based on level statistics and finite-size scaling analysis, the critical exponent for length scale is estimated as $ν=0.99\pm 0.05$ for class ${\rm AI}^{\dagger}$, and $ν=1.09\pm 0.05 $ for class A, both of which are clearly distinct from the critical exponents for 3D orthogonal and 3D unitary classes, respectively. In addition, spectral rigidity, level spacing distribution, and level spacing ratio distribution are studied. These critical behaviors strongly support that the non-Hermiticity changes the universality classes of the Anderson transitions.
