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Paper   IPM / P / 12246
School of Physics
  Title:   Conductance of Graphene Superlattices with Correlated Disorder in Velocity Profiles
1.  A. Esmailpour
2.  H. Meshkin
3.  R. Asgari
  Status:   Published
  Journal: Solid State Commun.
  Vol.:  152
  Year:  2012
  Pages:   1896-1901
  Supported by:  IPM
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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