Separated spin-up and spin-down evolution of degenerated electrons in two dimensional systems: Dispersion of longitudinal collective excitations in plane and nanotube geometry

Abstract

Applying the separated spin evolution quantum hydrodynamics to two-dimensional electron gas in plane samples and nanotubes located in external magnetic fields we find new kind of wave in electron gas, which is called the spin-electron acoustic wave. Separate spin-up electrons and spin-down electrons evolution reveals in replacement of the Langmuir wave by the couple of hybrid waves. One of two hybrid waves is the modified Langmuir wave. Another hybrid wave is the spin-electron acoustic wave. We study dispersion of these waves in two dimensional structures of electrons. We also consider dependence of dispersion properties on spin polarisation of electrons in external magnetic field.

5 pages, 5 figures

References in corpus (8)

• Electronic structure of silicon-based nanostructures
• Dynamics of spin 1/2 quantum plasmas
• Effects of the $g$-factor in semi-classical kinetic plasma theory
• Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearance
• Long-lived spin plasmons in a spin-polarized two-dimensional electron gas
• Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
• Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D mediums
• Chiral currents in gold nanotubes

Cited by in corpus (13)

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• Nonlinear separate spin evolution in degenerate electron-positron-ion plasmas
• Surface spin-electron acoustic waves in magnetically ordered metals
• Spin-electron acoustic waves: The Landau damping and ion contribution in the spectrum
• Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose-Einstein condensate
• Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions
• Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
• Nonlinear Coupling of Electromagnetic and Spin-Electron-Acoustic Waves in Spin-polarized Degenerate Relativistic Astrophysical Plasma
• Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction
• Electrostatic Langmuir and SEAWs in spin polarized plasma double layer
• Novel soliton in dipolar BEC caused by the quantum fluctuations
• Hydrodynamics of quantum corrections to the Coulomb interaction via the third rank tensor evolution equation: Application to the Langmuir waves and the spin-electron-acoustic waves