Random gauge field effects on the conductivity of graphene sheets with disordered ripples

Abstract

We study the effect of disordered ripples on the conductivity of monolayer graphene flakes. We calculate the relaxation times and the Boltzmann conductivities associated with two mechanisms. First, we study the conductivity correction due to an external in-plane magnetic field $B_{\parallel }$. Due to the irregular local curvature found at graphene sheets deposited over a substrate, $B_{\parallel }$ can be mapped into an effective random magnetic field perpendicular to the graphene surface. Second, we study the electron momentum relaxation due to intrinsic pseudo magnetic fields originated from deformations and strain. We find that the competition between these mechanisms gives rise to a strong anisotropy in the conductivity tensor. This result provides a new strategy to quantitatively infer the strength of pseudo-magnetic fields in rippled graphene flakes.

11 pages, 7 figures. Submitted to Physical Review B

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• Low-energy theory for strained graphene: an approach up to second-order in the strain tensor
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Interplay between nanometer-scale strain variations and externally applied strain in graphene
• Complex Landau levels and related transport properties in the strained zigzag graphene nanoribbons
• Spin relaxation in disordered graphene: Interplay between puddles and defect-induced magnetism
• Low-energy quantum scattering induced by graphene ripples
• Effective tunnel conductance and effective ac conductivity of randomly strained graphene
• Nondiagonal Graphene Conductivity in the Presence of In-Plane Magnetic Fields
• Two Dimensional Honeycomb Materials: random fields, dissipation and fluctuations