Separated spin-up and spin-down evolution of degenerated electrons in two-dimensional systems: Dispersion of longitudinal collective excitations in plane and nanotube geometry
Faculty of physics, Lomonosov Moscow State University, Moscow, Russian Federation
Received: 1 April 2015
Accepted: 26 November 2015
Applying the separated spin evolution quantum hydrodynamics to the two-dimensional electron gas in plane samples and nanotubes located in external magnetic fields we have found a novel type of waves in the electron gas which is called spin-electron acoustic wave. A separate spin-up and spin-down electrons' evolution reveals the replacement of the Langmuir wave by a pair of hybrid waves. One of the two hybrid waves is a modified Langmuir wave. Another hybrid wave is a spin-electron acoustic wave. We studied the dispersion of these waves in two-dimensional structures of electrons. We also considered the dependence of dispersion properties on spin polarization of electrons in an external magnetic field.
PACS: 73.22.Lp – Collective excitations / 52.30.Ex – Two-fluid and multi-fluid plasmas / 52.35.Dm – Sound waves
© EPLA, 2015