Conductance fluctuations and field asymmetry of rectification in graphene

Abstract

We investigate conductance fluctuations as a function of carrier density $n$ and magnetic field in diffusive mesoscopic samples made from monolayer and bilayer graphene. We show that the fluctuations' correlation energy and field, which are functions of the diffusion coefficient, have fundamentally different variations with $n$, illustrating the contrast between massive and massless carriers. The field dependent fluctuations are nearly independent of $n$, but the $n$-dependent fluctuations are not universal and are largest at the charge neutrality point. We also measure the second order conductance fluctuations (mesoscopic rectification). Its field asymmetry, due to electron-electron interaction, decays with conductance, as predicted for diffusive systems.

Panel c in figure 4 represented differently

References in corpus (7)

• Bipolar supercurrent in graphene
• Random resistor network model of minimal conductivity in graphene
• Transport and elastic scattering times as probes of the nature of impurity scattering in single and bilayer graphene
• Mesoscopic conductance fluctuations in graphene samples
• Suppression of conductance fluctuation in weakly disordered mesoscopic graphene samples near the charge neutral point
• Magnetic field asymmetry of mesocopic dc rectification in Aharonov Bohm rings
• Quantum transport thermometry for electrons in graphene

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