Conductance quantization in mesoscopic graphene

Details Conductance quantization in mesoscopic graphene Conductance quantization in mesoscopic graphene

2005-12-19

arxiv.org/abs/cond-mat/0512476v2

Physical Review B 73, 195411 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 9 figures. Final version published in Physical Review B

Scientific paper

10.1103/PhysRevB.73.195411

Using a generalized Landauer approach we study the non-linear transport in mesoscopic graphene with zig-zag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, G, of an armchair edge system in quantized as G/t=4 n e^2/h, whereas for a zig-zag edge the quantization changes to G/t t=4(n+1/2)e^2/h, where t is the transmission probability and n is an integer. We also study the effects of a non-zero bias, temperature, and magnetic field on the conductance. The magnetic field dependence of the quantization plateaus in these systems is somewhat different from the one found in the two-dimensional electron gas due to a different Landau level quantization.

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