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

Abstract

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 $\delta M\gg \bar{M}\ne 0$ 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.

3 pages, 3 figures

References in corpus (11)

• Control of graphene's properties by reversible hydrogenation
• Substrate-induced band gap opening in epitaxial graphene
• Anderson Transitions
• Quantum-limited shot noise in graphene
• Topological delocalization of two-dimensional massless Dirac fermions
• Ballistic transport in disordered graphene
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
• Random gap model for graphene and graphene bilayers
• Diffusion in the random gap model of mono- and bilayer graphene
• Universal critical exponent in class D superconductors

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