2012/08/31 by I. V. Gornyi, V. Yu. Kachorovskii, A. D. Mirlin · 71 citations
Materials Science · Physics and Astronomy · #Anharmonicity #Condensed matter physics #Conductivity #Dimensionless quantity #Electron #Graphene #Graphene research and applications #Phonon #Phonon scattering #Physics #Quantum mechanics #Scattering #Thermal properties of materials #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.86.165413
published in Physical Review B 86(16) (American Physical Society) · 19 pages, 12 figures, published version (Appendix A expanded, typos corrected, references added)
openalex publication_date 2012/10/09 · arxiv created 2012/10/12 · arxiv updated 2015/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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^\ensuremath-\ensuremathη, where \ensuremathη is the critical exponent (equal to \ensuremath≈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 Ge[T], which characterize the strength of electron-phonon and electron-electron interactions, 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.