Erratum to “Numerical study of localization length in disordered graphene nanoribbons” [Superlattices and Microstructures 51/6 (2012) 785–791]

In this paper, we investigate numerically wave propagation and localization in a complex random potential with power-law correlations. Using a discrete stationary Schrӧdinger equation with the simultaneous presence of the spatial correlation and the non-Hermiticity of the random potential in the diagonal on-site terms of the Hamiltonian, we calculate the disorder-averaged logarithmic transmittance and the localization length. From the numerical analysis, we find that the presence of power-law correlation in the imaginary part of the on-site disordered potential gives rise to the localization enhancement as compared with the case of absence of correlation. Depending on the disorder's strength, we show that there exist different behaviors of the dependence of the localization on the correlation strength.

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Numerical Study of the Localization Length Critical Index in a Network Model of Plateau-Plateau Transitions in the Quantum Hall Effect

Physical Review Letters ◽

10.1103/physrevlett.107.066402 ◽

2011 ◽

Vol 107 (6) ◽

Cited By ~ 39

Author(s):

M. Amado ◽

A. V. Malyshev ◽

A. Sedrakyan ◽

F. Domínguez-Adame

Keyword(s):

Hall Effect ◽

Network Model ◽

Quantum Hall Effect ◽

Numerical Study ◽

Quantum Hall ◽

Localization Length ◽

Critical Index

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PERFECTLY CONDUCTING CHANNEL AND ITS ROBUSTNESS IN DISORDERED CARBON NANOSTRUCTURES

International Journal of Modern Physics Conference Series ◽

10.1142/s201019451200606x ◽

2012 ◽

Vol 11 ◽

pp. 157-162 ◽

Cited By ~ 1

Author(s):

YUKI ASHITANI ◽

KEN-ICHIRO IMURA ◽

YOSITAKE TAKANE

Keyword(s):

Carbon Nanotubes ◽

Carbon Nanostructures ◽

Graphene Nanoribbons ◽

Numerical Study ◽

Conducting Channel ◽

Disordered Carbon ◽

Zigzag Graphene Nanoribbons

We report our recent numerical study on the effects of dephasing on a perfectly conducting channel (PCC), its presence believed to be dominant in the transport characteristics of a zigzag graphene nanoribbons (GNR) and of a metallic carbon nanotubes (CNT). Our data confirms an earlier prediction that a PCC in GNR exhibits a peculiar robustness against dephasing, in contrast to that of the CNT. By studying the behavior of the conductance as a function of the system's length we show that dephasing destroys the PCC in CNT, whereas it stabilizes the PCC in GNR. Such opposing responses of the PCC against dephasing stem from a different nature of the PCC in these systems.

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