Programme

O.15 -- Oral, VCTP-46

Date: Tuesday, 5 October 2021

Time: 15:10 - 15:30

Mobility edges in quasiperiodic mosaic lattice chains: A reflection geometry-based numerical study

Ba Phi Nguyen and Thi Than Ho

Department of Basic Sciences, Mientrung University of Civil Engineering

In this study, we numerically investigate the diffuse and localized properties in the one-dimensional quasiperiodic mosaic model whose on-site potentials are modulated for equally spaced sites. The mosaic modulation is parameterized by the so-called inlay parameter $\kappa$. When $\kappa=1$ this model reduces to the famous Aubry-André-Harper (AAH) model [1] for which there no exist mobility edge (separating the diffuse phase from the localized phase). Using the formalism proposed in Ref. [2], we focus on studying the case of $\kappa \neq 1$. From the numerical analysis, we find that there appear multiple mobility edges in this case. Interestingly, the number of mobility edges is always equal to $2(\kappa-1)$. In addition, we also find that the critical strength of quasiperiodic potential in diffuse-localized transition is smaller than that in the standard AAH model. These results are totally consistent with those reported in Ref. [3] which the results were firstly obtained by using by an alternative method. Keywords: Anderson localization, mobility edges, quasiperiodic mosaic lattice References: [1]. S. Aubry and G. André, Ann. Israel Phys. Soc. 3, 133 (1980). [2]. S. E. Skipetrov and A. Shina, Phys. Rev. B 97, 104202 (2018). [3]. Y. Wang et al., Phys. Rev. Lett. 125,196604 (2020).

Presenter: Nguyen Ba Phi