Luo Xunlong, Ohtsuki Tomi, Shindou Ryuichi
Science and Technology on Surface Physics and Chemistry Laboratory, Mianyang 621907, China.
Physics Division, Sophia University, Chiyoda-ku, Tokyo 102-8554, Japan.
Phys Rev Lett. 2021 Mar 5;126(9):090402. doi: 10.1103/PhysRevLett.126.090402.
The 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 a three-dimensional (3D) Anderson model and 3D U(1) model, which belong to 3D class AI^{†} 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 the length scale is estimated as ν=0.99±0.05 for class AI^{†}, and ν=1.09±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.
非厄密性与无序之间的相互作用在凝聚态物理中起着重要作用。在此，我们报告了由非厄密无序驱动的三维（3D）安德森模型和3D U(1)模型的安德森转变的普适临界行为，它们分别属于非厄密系统分类中的3D类AI†和3D类A。基于能级统计和有限尺寸标度分析，对于AI†类，长度尺度的临界指数估计为ν = 0.99±0.05，对于A类为ν = 1.09±0.05，这两者分别明显不同于3D正交类和3D酉类的临界指数。此外，还研究了谱刚度、能级间距分布和能级间距比分布。这些临界行为有力地支持了非厄密性改变了安德森转变的普适类。
