Quantum-limited shot noise in graphene

Details Quantum-limited shot noise in graphene Quantum-limited shot noise in graphene

2006-03-11

arxiv.org/abs/cond-mat/0603315v3

Phys. Rev. Lett. 96, 246802 (2006).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 3 figures; added an appendix with details of the calculation

Scientific paper

10.1103/PhysRevLett.96.246802

We calculate the mode-dependent transmission probability of massless Dirac fermions through an ideal strip of graphene (length L, width W, no impurities or defects), to obtain the conductance and shot noise as a function of Fermi energy. We find that the minimum conductivity of order e^2/h at the Dirac point (when the electron and hole excitations are degenerate) is associated with a maximum of the Fano factor (the ratio of noise power and mean current). For short and wide graphene strips the Fano factor at the Dirac point equals 1/3, three times smaller than for a Poisson process. This is the same value as for a disordered metal, which is remarkable since the classical dynamics of the Dirac fermions is ballistic.

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