Dephasing time in graphene due to interaction with flexural phonons

Abstract

We investigate decoherence of an electron in graphene caused by electron-flexural phonon interaction. We find out that flexural phonons can produce dephasing rate comparable to the electron-electron one. The problem appears to be quite special because there is a large interval of temperature where the dephasing induced by phonons can not be obtain using the golden rule. We evaluate this rate for a wide range of density ($n$) and temperature ($T$) and determine several asymptotic regions with temperature dependence crossing over from ${\tau }_{\varphi }^{-1}\sim T^2$ to ${\tau }_{\varphi }^{-1}\sim T$ when temperature increases. We also find ${\tau }_{\varphi }^{-1}$ to be a non-monotonous function of $n$. These distinctive features of the new contribution can provide an effective way to identify flexural phonons in graphene through the electronic transport by measuring the weak localization corrections in magnetoresistance.

arXiv comment13 pages, 8 figures

References in corpus (23)

• The electronic properties of graphene
• Van der Waals heterostructures
• Electronic transport in two dimensional graphene
• Temperature dependent transport in suspended graphene
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Controlling electron-phonon interactions in graphene at ultra high carrier densities
• Weak localisation magnetoresistance and valley symmetry in graphene
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Limits on electron quality in suspended graphene due to flexural phonons
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Disorder-Assisted Electron-Phonon Scattering and Cooling Pathways in Graphene
• Self-Consistent Theory of Polymerized Membranes
• Flexural phonons in free-standing graphene
• Symmetry-based approach to electron-phonon interactions in graphene
• Localization of Charged Quantum Particles in a Static Random Magnetic Field
• Manifestation of electron-electron interaction in the magnetoresistance of graphene
• Temperature dependent resistivity in bilayer graphene due to flexural phonons
• Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene
• Conductivity of suspended graphene at the Dirac point
• Rippled Graphene in an In-Plane Magnetic Field: Effects of a Random Vector Potential
• Decoherence in weak localization I: Pauli principle in influence functional
• Decoherence in weak localization II: Bethe-Salpeter calculation of Cooperon
• Non exponential quasiparticle decay and phase relaxation in low dimensional conductors

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• Theoretical Studies of Graphene Nanoribbon Quantum Dot Qubits
• Electronic transport and scattering times in tungsten-decorated graphene
• Flexural phonons in supported graphene: from pinning to localization
• Entanglement Generation and Dynamics for a Bose-Hubbard model in a Double-Well Potential