Two parameter scaling in the crossover from symmetry class BDI to AI

The transport statistics of the 1D chain and metallic armchair graphene nanoribbons with hopping disorder are studied, a focus on understanding crossover between zero-energy critical point localized regime at larger energy. In this region, is found to be described by two parameter scaling ratio $s$ system size mean free path, product $r$ energy scattering time. This shows excellent data collapse across wide variety sizes, energies, strengths. numerically obtained distributions in well Nakagami distribution, whose form controlled up an overall $s/{|lnr|}^{2}$. For sufficiently small values parameter, appears virtually identical that point, while large values, Gaussian distribution corresponding exponential localization recovered. intermediate interpolates smoothly these limits.