期刊论文详细信息
Energy-level statistics in planar fractal tight-binding models | |
Article | |
关键词: ELECTRONIC-PROPERTIES; CONDUCTION ELECTRONS; SPACING DISTRIBUTION; LACUNARITY; LOCALIZATION; SPECTRA; PHASE; TRANSITION; DIFFUSION; PHYSICS; | |
DOI : 10.1103/PhysRevB.107.115424 | |
来源: SCIE |
【 摘 要 】
In this study, we examine the statistics of level spectra in a noninteracting electron gas confined to a Sierpinski carpet lattice. These lattices are constructed using two types of the self and gene patterns, and they are categorized by the area-perimeter scaling law. The singularly continuous spectra, along with the nearest level spacing distribution and gap-ratio distribution, reveal a critical phase different from both extended and localized phases. This critical phase differs from the behavior near the Anderson model's metal-insulator transition. The Wigner-like conjecture is confirmed for both lattice classes, indicating Gaussian orthogonal symmetry. A similar observation was made in a quasiperiodic lattice [Phys. Rev. Lett. 80, 3996 (1998)]. The self-similar nature of fractals also leads to level clustering behavior.【 授权许可】
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