Metallic phase of disordered graphene superlattices with long-range correlations

Details Metallic phase of disordered graphene superlattices with long-range correlations Metallic phase of disordered graphene superlattices with long-range correlations

2010-10-07

arxiv.org/abs/1010.1571v1

Phys. Rev. B 83, 235430 (2011) [9 pages]

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 11 figures

Scientific paper

10.1103/PhysRevB.83.235430

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 $S(k)\sim1/k^{\beta}$. 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.

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