Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction

Andreev, Pavel A.

doi:10.1063/1.4975191

Cited by 5 publications

(3 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Quantum hydrodynamics [2,3,37,40] and quantum kinetics [1,4,24,28] are applied to this research. There are considered ordinary electromagnetic waves [41], spin damping corrections [42,43], waves propagating parallel [44], and perpendicular [5,40,[45][46][47] to the external magnetic field, and oblique propagating waves [37,48], the quantum vorticity [49][50][51][52], and the ponderomotive force [9,10,53]. Majority of these papers consider all electrons as one species.…”

Section: Introductionmentioning

confidence: 99%

“…Separate spin evolution quantum hydrodynamics and separate spin evolution quantum kinetics are developed for the study of electrons as two fluids [21,36]. The spin-electron acoustic waves found from these models are studied in different regimes [23,25,46,[54][55][56]. Study of the nontrivial part of the equilibrium distribution functions continues this research.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Andreev

Kuz'menkov

2017

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

A consideration of waves propagating parallel to the external magnetic field is presented. The dielectric permeability tensor is derived from quantum kinetic equations with non-trivial equilibrium spin-distribution functions in the linear approximation on amplitude of wave perturbations. It is possible to consider equilibrium spin-distribution functions with nonzero z-projection proportional to the difference of the spin distribution function while x-and y-projections are equal to zero. It is called trivial equilibrium spin-distribution functions. In general case, x-and y-projections of the spin-distribution functions are nonzero which is called the non-trivial regime. Corresponding equilibrium solution is found in [Phys. Plasmas 23, 062103 (2016)]. Contribution of the nontrivial part of the spin-distribution function appears in the dielectric permeability tensor in the additive form. It is explicitly found here. Corresponding modification in the dispersion equation for the transverse waves is derived. Contribution of nontrivial part of the spin-distribution function in the spectrum of transverse waves is calculated numerically. It is found that the term caused by the nontrivial part of the spin-distribution function can be comparable with the classic terms for the relatively small wave vectors and frequencies above the cyclotron frequency. In majority of regimes, the extra spin caused term dominates over the spin term found earlier, except the small frequency regime, where their contributions in the whistler spectrum are comparable. A decrease of the lefthand circularly polarized wave frequency, an increase of the high-frequency right-hand circularly polarized wave frequency, and a decrease of frequency changing by an increase of frequency at the growth of the wave vector for the whistler are found. A dramatic decrease of the spin wave frequency resulting in several times larger group velocity of the spin wave is found either. Found dispersion equations are used for obtaining of an effective quantum hydrodynamics reproducing these results. This generalization requires the introduction of corresponding equation of state for the thermal part of the spin current in the spin evolution equation.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Andreev

Kuz'menkov

2017

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

show abstract

“…[44][45] The new spin-dependent wave has also been found by applying the SSE-QHD equations to the two-dimensional electron gas in plane samples and nanotubes embedded in an external magnetic field in Refs. [46][47] Further, generalization of SSE-QHD equations by including the spin-orbit interaction (quantumrelativistic effects) has been presented in Ref. [48] This generalization is based upon the nonlinear Pauli equation by including Fermi spin current contribution in the spin evolution.…”

Section: Introductionmentioning

confidence: 99%

Linear Analysis of Obliquely Propagating Longitudinal Waves in Partially Spin Polarized Degenerate Magnetized Plasma

Iqbal¹,

Murtaza²,

Hussain³

2017

Commun. Theor. Phys.

View full text Add to dashboard Cite

Linear analysis of low frequency obliquely propagating electrostatic waves in a partially spin polarized degenerate magnetized plasma is presented. Using Fourier analysis, a general linear dispersion relation is derived for low frequency electrostatic lower hybrid (LH) wave, ion acoustic (IA) wave and ion cyclotron (IC) wave in the presence of electron spin polarization. It is found that the electron spin polarization gives birth to a new spin-dependent wave (spin electron acoustic wave) in the spectrum of these waves. Further, the electron spin polarization also causes drastic shifts in the frequency spectrum of these waves. These effects would have a strong bearing on wave phenomena in degenerate astrophysical plasmas.

show abstract

Raman three-wave interaction in partially spin polarized plasma

et al. 2017

View full text Add to dashboard Cite

By employing the separate spin evolution-quantum hydrodynamic model (SSE-QHD), the nonlinear growth rate of the parametric decay instability is studied via the Raman scattering process of three-wave coupling. SSE-QHD equations are solved for the pump wave (O-mode), sideband Shear Alfvén wave, and the electron plasma perturbations. It is observed that the spectrum of the electron plasma waves is modified due to newly generated spin dependent waves which contribute in the coupling process. The nonlinear growth rate as a result of three wave coupling is plotted for different sets of parameters and conditions. It is also observed that the growth rate is suppressed due to the spin effects. Shifting of diamagnetic behavior of plasma to paramagnetic behavior is noticed.

show abstract

Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction

Cited by 5 publications

References 32 publications

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions

Linear Analysis of Obliquely Propagating Longitudinal Waves in Partially Spin Polarized Degenerate Magnetized Plasma

Raman three-wave interaction in partially spin polarized plasma

Contact Info

Product

Resources

About