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

Article

关键词: LOCALIZATION;    DELOCALIZATION;    CONDUCTIVITY;    DIFFUSION;    BEHAVIOR;    ABSENCE;    CHAINS;    STATES;   

DOI  :  10.1103/PhysRevB.105.174204

来源: SCIE

【 摘 要 】

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

【 授权许可】

Free