Quadratic electronic response of a two-dimensional electron gas

Abstract

The electronic response of a two-dimensional (2D) electron system represents a key quantity in discussing one-electron properties of electrons in semiconductor heterojunctions, on the surface of liquid helium and in copper-oxide planes of high-temperature superconductors. We here report an evaluation of the wave-vector and frequency dependent dynamical quadratic density-response function of a 2D electron gas (2DEG), within a self-consistent field approximation. We use this result to find the $Z_1^3$ correction to the stopping power of a 2DEG for charged particles moving at a fixed distance from the plane of the 2D sheet, $Z_1$ being the projectile charge. We reproduce, in the high-density limit, previous full nonlinear calculations of the stopping power of a 2DEG for slow antiprotons, and we go further to calculate the $Z_1^3$ correction to the stopping power of a 2DEG for a wide range of projectile velocities. Our results indicate that linear response calculations are, for all projectile velocities, less reliable in two dimensions than in three dimensions.

17 pages, 5 figures, to appear in Phys. Rev. B

References in corpus (1)

• Coulomb scattering lifetime of a two-dimensional electron gas

Cited by in corpus (13)

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• Unravelling the nonlinear ideal density response of many-body systems
• Quadratic response theory for spin-orbit coupling in semiconductor heterostructures
• Polarizational stopping power of heavy-ion diclusters in two-dimensional electron liquids
• Hierarchy of Fluctuation-Dissipation Theorems for the Classical One-Component Plasma
• Fast projectile stopping power of two-dimensional strongly correlated electron liquids
• Density-Functional-Theory Perspective on the Non-Linear Response of Correlated Electrons Across Temperature Regimes