On a mechanism of high-temperature superconductivity: Spin-electron acoustic wave as a mechanism for the Cooper pair formation

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

doi:10.1063/1.5001951

Cited by 17 publications

(11 citation statements)

References 27 publications

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“…[43,59] The existence of spin-polarized plasma in the semiconductor has been predicted by D'yakonov and Perel, [60] which was later verified experimentally in Ref. Thus, we thus conclude that the SSE-QHD model is especially suitable for the study of wave and instability phenomena in the solid-state plasma.…”

Section: Discussionsupporting

confidence: 70%

“…In the study of oblique propagation of longitudinal waves, in the electron-ion and electron-positron-ion plasmas, instead of well-known waves like the Langmuir wave and the Trivelpiece-Gould wave, new solutions were found to exist as a result of considering electrons as two different species having spin-up and spin-down. [43] Recently, another application of the SSE-QHD model was presented in Ref. Furthermore, the non-linear evolution of a obliquely propagating SEAW was demonstrated through the Korteweg-de Vries (KdV) equation.…”

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confidence: 99%

“…Moreover, using this model, the mechanism of the electron Cooper pair formation through the interaction of electrons with SEAW has been explained, which is useful for the description of high-temperature superconductivity. [43] Recently, another application of the SSE-QHD model was presented in Ref. [44] in which authors studied the non-linear growth rate of the parametric decay instability through the Raman scattering process of three-wave coupling.…”

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confidence: 99%

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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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Section: Discussionsupporting

confidence: 70%

mentioning

confidence: 99%

mentioning

confidence: 99%

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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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“…[12]. It was shown that the electron-spelnon interaction leads to the Cooper pair formation ensuring a mechanism for the high-temperature superconductivity [13]. Experimental analysis of surface spin waves and spin waves in thin films is a subject of current research (see for instance [14]) leading to a possibility of the experimental analysis of the SEAWs.…”

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confidence: 99%

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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“…Subsequently, in the Ref. [50] it has been demonstrated that the existence of SEAW leads to an explanation of the mechanism of the electron Cooper pair formation in the high temperature superconductors as result of electron-spelnon interaction (spelnon is the quanta of the SEAW). Moreover, SSE-QHD model applied to study the oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas and found that instead of two well known waves (Langmuir wave and Trivelpiece-Gould wave) four wave solutions appeared in separate spin-up and spin-down degenerate magnetized plasma [43].…”

Section: Analytical Modelmentioning

confidence: 99%

Rich eight-branch spectrum of the oblique propagating longitudinal waves in partially spin-polarized electron-positron-ion plasmas

Andreev

Iqbal

2016

Phys. Rev. E

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We consider the separate spin evolution of electrons and positrons in electron-positron and electron-positron-ion plasmas. We consider oblique propagating longitudinal waves in this systems. Working in a regime of high density n0 ∼ 10 27 cm −3 and high magnetic field B0 = 10 10 G we report presence of the spin-electron acoustic waves and their dispersion dependencies. In electron-positron plasmas, similarly to the electron-ion plasmas, we find one spin-electron acoustic wave (SEAW) at propagation parallel or perpendicular to the external field and two spin-electron acoustic waves at the oblique propagation. At the parallel or perpendicular propagation of the longitudinal waves in electron-positron-ion plasmas we find four branches: the Langmuir wave, the positron-acoustic wave and pair of waves having spin nature, they are the SEAW and, as we called it, spin-electron-positron acoustic wave (SEPAW). At the oblique propagation we find eight longitudinal waves: the Langmuir wave, Trivelpiece-Gould wave, pair of positron-acoustic waves, pair of SEAWs, and pair of SEPAWs. Thus, for the first time, we report existence of the second positron-acoustic wave existing at the oblique propagation and existence of SEPAWs.

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On a mechanism of high-temperature superconductivity: Spin-electron acoustic wave as a mechanism for the Cooper pair formation

Cited by 17 publications

References 27 publications

Lower hybrid wave instability in a spin‐polarized degenerate plasma

Lower hybrid wave instability in a spin‐polarized degenerate plasma

Surface spin-electron acoustic waves in magnetically ordered metals

Rich eight-branch spectrum of the oblique propagating longitudinal waves in partially spin-polarized electron-positron-ion plasmas

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