华体会官方网页版-华体会(中国):Numerical investigation of localization in two-dimensional quasiperiodic mosaic lattice
Author(s): Wang, HH (Wang, Hui-Hui); Wang, SS (Wang, Si-Si); Yu, Y (Yu, Yan); Zhang, B (Zhang, Biao); Dai, YM (Dai, Yi-Ming); Chen, HC (Chen, Hao-Can); Zhang, YC (Zhang, Yi-Cai); Zhang, YY (Zhang, Yan-Yang)
Source: JOURNAL OF PHYSICS-CONDENSED MATTER Volume: 35 Issue: 13 Article Number: 135301 DOI: 10.1088/1361-648X/acb67c Published: APR 5 2023
Abstract: A one-dimensional lattice model with mosaic quasiperiodic potential is found to exhibit interesting localization properties, e.g. clear mobility edges (Wang et al 2020 Phys. Rev. Lett. 125 196604). We generalize this mosaic quasiperiodic model to a two-dimensional version, and numerically investigate its localization properties: the phase diagram from the fractal dimension of the wavefunction, the statistical and scaling properties of the conductance. Compared with disordered systems, our model shares many common features but also exhibits some different characteristics in the same dimensionality and the same universality class. For example, the sharp peak at g similar to 0 g limit of the universal scaling function beta resemble those behaviors of three-dimensional disordered systems.
Accession Number: WOS:000927103700001
PubMed ID: 36701808
Author Identifiers:
Author Web of Science ResearcherID ORCID Number
Zhang, Yi-Cai 0000-0003-2064-3671
Zhang, Yan-Yang 0000-0002-6276-0115
Wang, Si-Si 0000-0003-3052-9813
ISSN: 0953-8984
eISSN: 1361-648X
Full Text: https://iopscience.iop.org/article/10.1088/1361-648X/acb67c
