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Paper IPM / P / 11547 |
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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) ∼ 1/kβ. 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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