Absence of a metallic phase in charge-neutral graphene with a random gap

Details Absence of a metallic phase in charge-neutral graphene with a random gap Absence of a metallic phase in charge-neutral graphene with a random gap

2010-02-03

arxiv.org/abs/1002.0817v2

Phys.Rev.B 81, 121414(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

3 pages, 3 figures

Scientific paper

10.1103/PhysRevB.81.121414

It is known that fluctuations in the electrostatic potential allow for metallic conduction (nonzero conductivity in the limit of an infinite system) if the carriers form a single species of massless two-dimensional Dirac fermions. A nonzero uniform mass $\bar{M}$ opens up an excitation gap, localizing all states at the Dirac point of charge neutrality. Here we investigate numerically whether fluctuations $\delta M \gg \bar{M} \neq 0$ in the mass can have a similar effect as potential fluctuations, allowing for metallic conduction at the Dirac point. Our negative conclusion confirms earlier expectations, but does not support the recently predicted metallic phase in a random-gap model of graphene.

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