Shot noise fluctuations in disordered graphene nanoribbons near the Dirac point

• Effects of disorder and edge terminations on the shot noise power fluctuations in graphene nanoribbons are studied.
• Zigzag and armchair nanoribbons have different shot noise statistics.
• The presence of Anderson and anomalous localizations in zigzag and armchair nanoribbons, respectively, leads to different statistical properties of the shot noise power.

Random fluctuations of the shot-noise power in disordered graphene nanoribbons are studied. In particular, we calculate the distribution of the shot noise of nanoribbons with zigzag and armchair edge terminations. We show that the shot noise statistics is different for each type of these two graphene structures, which is a consequence of the presence of different electron localizations: while in zigzag nanoribbons electronic edge states are Anderson localized, in armchair nanoribbons edge states are absent, but electrons are anomalously localized. Our analytical results are verified by tight binding numerical simulations with random hopping elements, i.e., off diagonal disorder, which preserves the symmetry of the graphene sublattices.