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The propagation of massless Dirac fermion waves through a multilayer graphene system is studied
in the presence of a long-range correlated disorder. The graphene system consists of a sequence of
graphene layers in which the Dirac fermions velocity is position-dependent. The velocity profile
is multiform and assumed to be long-range correlated. The effect of disorder in the transmission
probability through the system with different sizes is also studied. We demonstrate that in the limit
of large system, the conductance fluctuations become independent of the correlation exponent and
tends to a constant value. In addition, we show that the conductance of the system 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 incident particles.
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