Metallic phase of disordered graphene superlattices with long-range correlations

Abstract

Using the transfer matrix method, we study the conductance of the chiral particles through a monolayer graphene superlattice with long-range correlated disorder distributed on the potential of the barriers. Even though the transmission of the particles through graphene superlattice with white noise potentials is suppressed, the transmission is revived in a wide range of angles when the potential heights are long-range correlated with a power spectrum $S(k)\sim 1/k^{\beta }$. As a result, the conductance increases with increasing the correlation exponent values gives rise a metallic phase. We obtain a phase transition diagram in which a critical correlation exponent depends strongly on disorder strength and slightly on the energy of the incident particles. The phase transition, on the other hand, appears in all ranges of the energy from propagating to evanescent mode regimes.

arXiv comment8 pages, 11 figures

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Cited by in corpus (4)

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• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Electronic transport of a large scale system studied by renormalized transfer matrix method: application to armchair graphene nanoribbons between quantum wires
• Effect of disorder with long-range correlation on transport in graphene nanoribbon