Finite Conductivity Minimum in Bilayer Graphene without Charge Inhomogeneities
arXiv:1002.4481 · doi:10.1103/PhysRevB.82.155308
Abstract
Boltzmann transport theory fails near the linear band-crossing of single-layer graphene and near the quadratic band-crossing of bilayer graphene. We report on a numerical study which assesses the role of inter-band coherence in transport when the Fermi level lies near the band-crossing energy of bilayer graphene. We find that interband coherence enhances conduction, and that it plays an essential role in graphene's minimum conductivity phenomena. This behavior is qualitatively captured by an approximate theory which treats inter-band coherence in a relaxation-time approximation. On the basis of this short-range-disorder model study, we conclude that electron-hole puddle formation is not a necessary condition for finite conductivity in graphene at zero average carrier density.
arXiv commentrevised version as published in Phys. Rev. B
References in corpus (35)
- The electronic properties of graphene
- Graphene: Status and Prospects
- Ultrahigh electron mobility in suspended graphene
- Suspended Graphene: a bridge to the Dirac point
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
- A self-consistent theory for graphene transport
- Temperature dependent transport in suspended graphene
- Quantum Hall Ferromagnetism in Graphene
- Origin of Spatial Charge Inhomogeneity in Graphene
- Quantum transport of massless Dirac fermions in graphene
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Broken symmetry states and divergent resistance in suspended bilayer graphene
- Electronic properties of graphene multilayers
- Transport in Bilayer Graphene: Calculations within a self-consistent Born approximation
- Topological delocalization of two-dimensional massless Dirac fermions
- Ballistic transmission through a graphene bilayer
- Random resistor network model of minimal conductivity in graphene
- Ground-state of graphene in the presence of random charged impurities
- Theory of carrier transport in bilayer graphene
- Influence of trigonal warping on interference effects in bilayer graphene
- Screening of a hypercritical charge in graphene
- Boltzmann transport and residual conductivity in bilayer graphene
- Minimal conductivity in bilayer graphene
- Role of the trigonal warping on the minimal conductivity of bilayer graphene
- Minimum Electrical and Thermal Conductivity of Graphene: A Quasiclassical Approach
- Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
- Generalized kinetic equations for charge carriers in graphene
- Effective medium theory for disordered two-dimensional graphene
- Neutrality point of graphene with coplanar charged impurities
- Screening-Induced Transport at Finite Temperature in Bilayer Graphene
- Temperature dependence of the diffusive conductivity of bilayer graphene
- External gates and transport in biased bilayer graphene
- Anisotropic minimal conductivity of graphene bilayers
- Quantum corrections in the Boltzmann conductivity of graphene and their sensitivity to the choice of formalism
Cited by in corpus (19)
- Electronic transport in two dimensional graphene
- The electronic properties of bilayer graphene
- Electronic properties of graphene-based bilayer systems
- Spontaneously gapped ground state in suspended bilayer graphene
- Minimum Conductivity and Evidence for Phase Transitions in Ultra-clean Bilayer Graphene
- Electronic Transport in Disordered Bilayer and Trilayer Graphene
- Inter-band Coherence Response to Electric Fields in Crystals
- Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
- Effect of the band structure topology on the minimal conductivity for bilayer graphene with symmetry breaking
- Conductivity and scattering in graphene bilayers: numerically exact results vs. Boltzmann approach
- Graphene Conductivity near the Charge Neutral Point
- Low-temperature linear transport of two-dimensional massive Dirac fermions in silicene: residual conductivity and spin/valley Hall effects
- On the convergence of the polarization tensor in space-time of three dimensions
- Hidden Anisotropy in the Drude Conductivity of Charge Carriers with Dirac-Schrödinger Dynamics
- Disorder induced field effect transistor in bilayer and trilayer graphene
- Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
- Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation
- Theory of Conductivity of Chiral Particles
- Electron-electron interactions in non-equilibrium bilayer graphene