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

@article{Bardarson2010AbsenceOA,
title={Absence of a metallic phase in charge-neutral graphene with a random gap},
author={Jens Hjorleifur Bardarson and Mariya V. Medvedyeva and Jakub Tworzydło and A. Akhmerov and C. W. J. Beenakker},
journal={Physical Review B},
year={2010},
volume={81},
pages={121414}
}
• Published 3 February 2010
• Physics
• Physical Review B
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 $\overline{M}$ opens up an excitation gap, localizing all states at the Dirac point of charge neutrality. Here we investigate numerically whether fluctuations $\ensuremath{\delta}M⪢\overline{M}\ensuremath{\ne}0$ in the mass can have a similar…
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