Symmetries in the collective excitations of an electron gas in core-shell nanowires

Abstract

We study the collective excitations and inelastic light scattering cross-section of an electron gas confined in a GaAs/AlGaAs coaxial quantum well. These system can be engineered in a core-multi-shell nanowire and inherit the hexagonal symmetry of the underlying nanowire substrate. As a result, the electron gas forms both quasi 1D channels and quasi 2D channels at the quantum well bents and facets, respectively. Calculations are performed within the RPA and TDDFT approaches. We derive symmetry arguments which allow to enumerate and classify charge and spin excitations and determine whether excitations may survive to Landau damping. We also derive inelastic light scattering selection rules for different scattering geometries. Computational issues stemming from the need to use a symmetry compliant grid are also investigated systematically.

References in corpus (2)

• A molecular state of correlated electrons in a quantum dot
• Magnetic states in prismatic core multishell nanowires

Cited by in corpus (10)

• Tuning Rashba spin-orbit coupling in homogeneous semiconductor nanowires
• Electron localization and optical absorption of polygonal quantum rings
• Enhanced Rashba spin-orbit coupling in core-shell nanowires by the interfacial effect
• Conductance features of core-shell nanowires determined by the internal geometry
• Conductance oscillations of core-shell nanowires in transversal magnetic fields
• Anisotropy of the spin-orbit coupling driven by a magnetic field in InAs nanowires
• In-gap corner states in core-shell polygonal quantum rings
• Band structure of n- and p-doped core-shell nanowires
• Anisotropic transport properties in prismatic topological insulator nanowires
• Symmetry dependent electron localization and optical absorption of polygonal quantum rings