Localization transition on a Cayley tree via spectral statistics

Article

关键词: METAL-INSULATOR-TRANSITION;    ANDERSON TRANSITION;    DISORDERED-SYSTEMS;    CRITICAL-BEHAVIOR;    BETHE LATTICE;    MODEL;    SYMMETRY;    POINT;   

DOI  :  10.1103/PhysRevB.68.193102

来源: SCIE

【 摘 要 】

The spectral statistics of a Cayley tree are numerically studied. The statistics are nonuniversal due to the high ratio of boundary sites. Once the boundary sites are connected to each other in a way that preserves the local structure of the tree, the universal statistics of the spectra is recovered. A clear localization transition is observed as function of on-site disorder strength, with a critical disorder W-c = 11.44+/-0.08 and critical index nu = 0.51+/-0.05. The value of nu fits nicely to its mean-field value, while the value of W-c is puzzling.

【 授权许可】

Free