The role of the exchange-Coulomb potential in two-dimensional electron transport

Abstract

We develop a quantum kinetic theory of two-dimensional electron gases in which exchange is treated self-consistently at the Hartree-Fock level and enters as a nonlocal, momentum-dependent field in phase space. By starting from the Coulomb Hamiltonian, we derive a Hartree-Fock-Wigner equation for the electronic Wigner function and obtain a closed fluid model with exchange-corrected pressure, force, and current. For a single layer, we show that exchange renormalizes the Fermi velocity and can drive a long-wavelength plasmonic instability at low densities. In coupled layers, the same framework predicts acoustic-optical mode coupling, and an instability forming long-lived charge-imbalance patterns that are not predicted by classical Vlasov and Boltzmann models. Finally, we apply the kinetic model to the Coulomb drag problem and show how exchange substantially enhances the drag resistivity in dilute GaAs double wells, quantitatively matching experimental observations.

References in corpus (24)

• Graphene plasmonics: A platform for strong light-matter interaction
• Gate-tuning of graphene plasmons revealed by infrared nano-imaging
• Negative local resistance caused by viscous electron backflow in graphene
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Spin dynamics in semiconductors
• Edge and waveguide THz surface plasmon modes in graphene micro-ribbons
• Correlation energy and spin polarization in the 2D electron gas
• Hydrodynamics of electrons in graphene
• Coulomb drag between two-dimensional electron systems
• Observation of spin Coulomb drag in a two-dimensional electron gas
• Coulomb drag between disordered two-dimensional electron gas layers
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Spin Coulomb drag in the two-dimensional electron liquid
• The Droplet State and the Compressibility Anomaly in Dilute 2D Electron Systems
• Exchange effects in a cold plasma
• Evidence for 2k_F Electron-Electron Scattering Processes in Coulomb Drag
• Transport properties of diluted magnetic semiconductors: Dynamical mean field theory and Boltzmann theory
• On the contribution of exchange interactions to the Vlasov equation
• Do hydrodynamic models misestimate exchange effects? Comparison with kinetic theory for electrostatic waves
• Spin and pair density waves in 2D altermagnetic metals
• On the Ground State of Electron Gases at Negative Compressibility
• Anomalous magnetic suppression of spin relaxation in a two-dimensional electron gas in a GaAs/AlGaAs quantum well
• Quantum kinetic theory of light-matter interactions in degenerate plasmas
• Hall Coulomb drag induced by electron-electron skew scattering