Transition between scattering regimes of 2D electron transport
arXiv:2404.11353 · doi:10.1103/PhysRevB.110.115420
Abstract
We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to diffusive transport if we increase the bulk disorder strength. This crossover yields characteristic current density profiles. Furthermore, we illustrate the current density in the transition from ballistic to hydrodynamic transport. This corresponds to the Gurzhi effect in the resistivity. We also study the influence of finite temperature on current densities and average current in this system. In particular, we analyze how a particular scaling law of electron-electron scattering with respect to temperature affects the current along the channel.
7 pages, 2 figures
References in corpus (10)
- Thermal conductivity of suspended pristine graphene measured by Raman spectroscopy
- Quantum-critical relativistic magnetotransport in graphene
- Hydrodynamics in graphene: Linear-response transport
- Zero differential resistance state of two dimensional electron systems in strong magnetic fields
- Colossal negative magnetoresistance in a 2D electron gas
- Stokes paradox in electronic Fermi liquids
- Hydrodynamic Model for Conductivity in Graphene
- Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment
- Anomalously long lifetimes in two-dimensional Fermi liquids
- Collinear scattering and long-lived excitations in two-dimensional electron fluids