Abstract
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 of system size to mean free path, and the product 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 . 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.
9 More- Received 20 January 2022
- Revised 3 May 2022
- Accepted 4 May 2022
DOI:https://doi.org/10.1103/PhysRevB.105.174204
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