Conductivity of suspended graphene at the Dirac point

Abstract

We study transport properties of clean suspended graphene at the Dirac point. In the absence of the electron-electron interaction, the main contribution to resistivity comes from interaction with flexural (out-of-plane deformation) phonons. We find that the phonon-limited conductivity scales with the temperature as $T^{-\eta },$ where $\eta$ is the critical exponent (equal to $\approx 0.7$ according to numerical studies) describing renormalization of the flexural phonon correlation functions due to anharmonic coupling with the in-plane phonons. The electron-electron interaction induces an additional scattering mechanism and also affects the electron-phonon scattering by screening the deformation potential. We demonstrate that the combined effect of both interactions results in a conductivity that can be expressed as a dimensionless function of two temperature-dependent dimensionless constants, $G[T]$ and $G_e[T]$ which characterize the strength of electron-phonon and electron-electron interaction, respectively. We also discuss the behavior of conductivity away from the Dirac point as well as the role of the impurity potential and compare our predictions with available experimental data.

19 pages, 12 figures, published version (Appendix A expanded, typos corrected, references added)

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Cited by in corpus (23)

• Hydrodynamic approach to electronic transport in graphene
• Mermin-Wagner theorem, flexural modes, and degraded carrier mobility in 2D crystals with broken horizontal mirror (${\sigma }_{\mathrm{h}}$) symmetry
• Insulating nature of strongly correlated massless Dirac fermions in an organic crystal
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• Rippling and crumpling in disordered free-standing graphene
• Thermodynamics of quantum crystalline membranes
• Flexural phonon scattering induced by electrostatic gating in graphene
• Many body renormalization of the minimal conductivity in graphene
• Asymptotic freedom at zero temperature in crystalline membranes
• Strong magnetoresistance of disordered graphene
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• Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights
• Dephasing time in graphene due to interaction with flexural phonons
• Disorder-induced rippled phases and multicriticality in free-standing graphene
• Topological matter: graphene and superfluid 3He
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• Eigenfrequencies of the randomly pinned drum and conductivity of graphene
• Current enhancement due to field-induced dark carrier multiplication in graphene
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• Graphene resistivity in diffusive limit due to scalar and vector potential electron-phonon scattering
• Strong magnetoresistance in a graphene Corbino disk at low magnetic fields