Hydrodynamic Model for Conductivity in Graphene
arXiv:1301.3428 · doi:10.1038/srep01052
Abstract
Based on the recently developed picture of an electronic ideal relativistic fluid at the Dirac point, we present an analytical model for the conductivity in graphene that is able to describe the linear dependence on the carrier density and the existence of a minimum conductivity. The model treats impurities as submerged rigid obstacles, forming a disordered medium through which graphene electrons flow, in close analogy with classical fluid dynamics. To describe the minimum conductivity, we take into account the additional carrier density induced by the impurities in the sample. The model, which predicts the conductivity as a function of the impurity fraction of the sample, is supported by extensive simulations for different values of , the dimensionless strength of the electric field, and provides excellent agreement with experimental data.
19 pages, 4 figures
References in corpus (15)
- Electric Field Effect in Atomically Thin Carbon Films
- Charged Impurity Scattering in Graphene
- Carrier transport in 2D graphene layers
- A self-consistent theory for graphene transport
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Universal dynamical conductance in graphite
- Quantum transport of massless Dirac fermions in graphene
- Tuning the effective fine structure constant in graphene: opposing effects of dielectric screening on short- and long-range potential scattering
- Quantum critical transport in clean graphene
- Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
- Quantum-critical relativistic magnetotransport in graphene
- Collective cyclotron motion of the relativistic plasma in graphene
- Electric Transport Theory of Dirac Fermions in Graphene
- Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics
- Single to Double Hump Transition in the Equilibrium Distribution Function of Relativistic Particles