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Transport Properties in Graphene Superlattices

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arxiv 1812.10148 v1 pith:N76TFI4P submitted 2018-12-25 cond-mat.mes-hall quant-ph

Transport Properties in Graphene Superlattices

classification cond-mat.mes-hall quant-ph
keywords transmissionconductancediracfactorfanographeneprobabilityproperties
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly determine transmission probability as well as the conductance and Fano factor. At vertical Dirac points, we numerically find that the transmission probability shows transmission gaps, conductance has minimums and Fano factor has maximums.

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