Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons

Andreev, Pavel A.; Kuz'menkov, L. S.

doi:10.1016/j.aop.2015.07.004

Cited by 56 publications

(75 citation statements)

References 43 publications

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“…Full set of the SSE-QHD equations can be found in Refs. [5], [6]. To describe the surface SEAWs we need the continuity and Euler equations for the separate spin evolution of the spin-up and spin-down electrons.…”

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Surface spin-electron acoustic waves in magnetically ordered metals

Andreev

Kuz'menkov

2016

Applied Physics Letters

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Degenerate plasmas with motionless ions show existence of three surface waves: the Langmuir wave, the electromagnetic wave, and the zeroth sound. Applying the separated spin evolution quantum hydrodynamics to half-space plasma we demonstrate the existence of the surface spin-electron acoustic wave (SSEAW). We study dispersion of the SSEAW. We show that there is hybridization between the surface Langmuir wave and the SSEAW at rather small spin polarization. In the hybridization area the dispersion branches are located close to each other. In this area there is a strong interaction between these waves leading to the energy exchange. Consequently, generating the Langmuir waves with the frequencies close to hybridization area we can generate the SSEAWs. Thus, we report a method of creation of the SEAWs.

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“…Key role in plasmonics belongs to the surface Langmuir waves or surface plasmons [3], [4]. On the over hand, the materials with the partial spin polarization of the carriers reveal the existence of spinelectron acoustic waves (SEAWs) [5], [6]. Quantum of the SEAWs is called spelnon.…”

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Surface spin-electron acoustic waves in magnetically ordered metals

Andreev

Kuz'menkov

2016

Applied Physics Letters

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“…The spin-polarized two-dimensional electron gas exists in the magnetic semiconductors. The study of SEAWs in two-dimensional electron gas appeared by analogy with bulk properties of the three-dimensional electron gas [3], [4]. However, there is a relatively long history of theoretical and experimental study of the spin plasmons in he spin-polarized two-dimensional electron gas (see for instance [15], [16]).…”

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“…Majority of papers on this subject are focused on three-dimensional electron gas existing in magnetically ordered metals (see for instance [4], [5]). However, it can be applied to the spin-polarized electron-hole liquid in the regime of degenerate carriers.…”

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

Andreev

2017

Physics of Plasmas

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Hydrodynamics analysis of waves in two-dimensional degenerate electron gas with the account of separate spin evolution is presented. The transverse electric field is included along with the longitudinal electric field. The Coulomb exchange interaction is included in the analysis. In contrast with the three-dimensional plasma-like mediums the contribution of the transverse electric field is small. We show the decrease of frequency of both the extraordinary (Langmuir) wave and the spinelectron acoustic wave due to the exchange interaction. Moreover, spin-electron acoustic wave has negative dispersion at the relatively large spin-polarization. Corresponding dispersion dependencies are presented and analyzed.

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Lower hybrid wave instability in a spin‐polarized degenerate plasma

Iqbal

Khanum

Murtaza

2018

Contributions to Plasma Physics

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Lower hybrid (LH) wave instability excited due to an electron beam in a spin-polarized degenerate plasma is studied. Using the Separate Spin Evolution quantum hydrodynamic model, incorporating Coulomb exchange interaction and Bohm potential, the general dispersion relation of nearly perpendicular propagating electrostatic waves is derived. Furthermore, in the low-frequency limit, the dispersion of LH wave is obtained. It is found that the electron spin polarization and beam streaming speed reduce the growth rate as well as the k-domain. However, the beam density and the propagation angle enhance both the growth rate and k-domain of LH instability. In addition, the contribution of the Bohm potential term increases the intensity of the growth rate. All these effects may have a strong bearing on the wave and instability phenomena in spin-polarized plasmas. KEYWORDS electron beam, exchange interaction, solid state plasma, spin polarization INTRODUCTIONThe quantum effects play quite an important role in the study of astrophysical environments like white and brown dwarfs, neutron stars, magnetars, and core of giant planets (e.g., Jovian planets) [1][2][3][4] and in the laboratory environment, for example, laser-produced plasma, [5] in the development of nanostructured materials, [6] quantum wells, [7] and in the study of ultra-cold plasmas. [8] In order to understand such problems, a quantum version of the classical hydrodynamic model, later named quantum hydrodynamic (QHD) model, has been developed and extensively used to study the properties of plasma waves, streaming, and wake effects in the plasma. [9][10][11][12][13][14][15][16] Recently, the QHD model has been derived in the frame work of local density approximation. This modified QHD model contains the finite temperature effect, correction in Bohm potential, and exchange correlation potential effects. Furthermore, the applicability of QHD model for different range of wave numbers and frequency has been discussed. [17] Using the QHD model and incorporating the electron exchange-correlation effects, the parametric instabilities induced by the non-linear interaction between high-frequency quantum Langmuir waves and low-frequency quantum ion-acoustic waves have been studied in Ref. [18]. The electron spin effect is another quantum effect that has been extensively studied in the plasma waves and instabilities during the last decade. To understand the electron spin effects on the wave dispersion characteristics in quantum plasma, the QHD model for spin-1/2 particles was presented by Kuz'menkov. [19,20] Moreover, to understand the non-linear dynamics of spin-1/2 quantum plasmas, the QHD model for spin-1/2 particles has been derived and its usefulness demonstrated in solid-state plasma as well as in astrophysical plasma. [21] The QHD model for spin-1/2 particles has received a great deal of attention due to emergence of some new wave phenomena and its effect on instabilities. [22][23][24][25][26][27][28][29] Subsequently, the kinetic quantum model for spin-1/2 quantum p...

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Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons

Cited by 56 publications

References 43 publications

Surface spin-electron acoustic waves in magnetically ordered metals

Surface spin-electron acoustic waves in magnetically ordered metals

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

Lower hybrid wave instability in a spin‐polarized degenerate plasma

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