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.
arXiv comment7 pages, 2 figures
References in corpus (25)
- Evidence for hydrodynamic electron flow in PdCoO
- Thermal conductivity of suspended pristine graphene measured by Raman spectroscopy
- Hydrodynamic electron flow in high-mobility wires
- Visualizing Poiseuille flow of hydrodynamic electrons
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Observation of spin Coulomb drag in a two-dimensional electron gas
- Quantum-critical relativistic magnetotransport in graphene
- Hydrodynamics in graphene: Linear-response transport
- Magnetoresistance in a High Mobility Two-Dimensional Electron Gas
- Observation of a cyclotron harmonic spike in microwave-induced resistances in ultraclean GaAs/AlGaAs quantum wells
- Zero differential resistance state of two dimensional electron systems in strong magnetic fields
- New type of -periodic magneto-oscillations in a two-dimensional electron system induced by microwave irradiation
- Giant negative magnetoresistance in high-mobility 2D electron systems
- Colossal negative magnetoresistance in a 2D electron gas
- Ballistic and hydrodynamic magnetotransport in narrow channels
- Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
- Stokes paradox in electronic Fermi liquids
- Wiedemann-Franz Relation and Thermal-transistor Effect in Suspended Graphene
- Hydrodynamic Model for Conductivity in Graphene
- A classical mechanism for negative magnetoresistance in two-dimensional systems in the ballistic regime
- Non-linear Magnetoresistance Oscillations in Intensely Irradiated Two-Dimensional Electron Systems Induced by Multi-Photon Processes
- Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment
- The Hall effect in ballistic flow of two-dimensional interacting particles
- Anomalously long lifetimes in two-dimensional Fermi liquids
- Collinear scattering and long-lived excitations in two-dimensional electron fluids