当前位置: X-MOL 学术Phys. Rev. Research › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Scaling up the Anderson transition in random-regular graphs
Physical Review Research ( IF 3.5 ) Pub Date : 2020-11-20 , DOI: 10.1103/physrevresearch.2.042031
M. Pino

We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results show that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the existence of a nonergodic metallic phase with multifractal eigenstates. The scaling analysis gives critical exponent ν=0.94±0.08 and critical disorder Wc=18.17±0.02. Our data support that ergodicity is only recovered at zero disorder.

中文翻译:

扩大随机正则图中的Anderson转换

我们研究了具有随机规则图的连通性的格子中的安德森过渡。我们的结果表明,分形维数在过渡过程中是连续的,但它们的导数不连续,这表明存在具有多重分形本征态的非遍历金属相。缩放分析给出了关键指数ν=0.94±0.08 和重症 w ^C=18.17±0.02 我们的数据支持遍历性仅在零失调时才能恢复。
更新日期:2020-11-21
down
wechat
bug