Numerical investigation of localization in two-dimensional quasiperiodic mosaic lattice. (5th April 2023)

• Record Type: Journal Article
• Authors: Wang, Hui-Hui; Wang, Si-Si; Yu, Yan; Zhang, Biao; Dai, Yi-Ming; Chen, Hao-Can; Zhang, Yi-Cai; Zhang, Yan-Yang
• Is Part Of: Journal of physics. Volume 35:Number 13(2023)
• Publication Date: 2023-04-05
• Subjects: quantum localization -- quasiperiodic system -- two dimension -- scaling function; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/acb67c
• Languages: English
• ISSNs: 0953-8984

Abstract

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 ∼ 0 of the critical distribution and the large g limit of the universal scaling function β resemble those behaviors of three-dimensional disordered systems.