Critical analysis of the reentrant localization transition in a one-dimensional dimerized quasiperiodic lattice

A re-entrant localization transition has been predicted recently in a one-dimensional quasiperiodic lattice with dimerized hopping between the nearest-neighbour sites (Phys. Rev. Lett. {\bf 126} 106803 (2021)) \cite{PhysRevLett.126.106803}. It shown that interplay dimerization and staggered quasi-periodic disorder manifests two transitions through intermediate phases resulting four critical points as function of potential. In this paper, we study phenomenon by examining spectral properties states. By performing systematic finite-size scaling analysis for fixed value dimerization, obtain accurate strengths different associated exponents. Moreover, multifractal analysis, nature states across computing mass exponents corresponding fractal dimensions Further, complement Hausdorff dimensions.