Collective Electron Dynamics in Metallic and Semiconductor Nanostructures

Manfredi, Giovanni; Hervieux, Paul-Antoine; Yin, Yuncong; Crouseilles, Nicolas

doi:10.1007/978-3-642-04650-6_1

Cited by 18 publications

(19 citation statements)

References 103 publications

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“…Several studies were performed in the past but neglected spin effects [40,45,46]. In this paper, we show that phase-space methods can be conveniently generalized to include the spin dynamics at different orders.…”

Section: Discussionmentioning

confidence: 84%

“…Phase-space methods can be applied to condensed matter and nanophysics to model the electron dynamics in either the quantum or the semiclassical regime. Several studies were performed in the past but neglected spin effects [8,44,47]. In this paper, we showed that phase-space methods can be conveniently generalized to include the spin dynamics at different orders.…”

Section: Discussionmentioning

confidence: 95%

“…This mean-field approach could, in principle, be extended, in the spirit of density functional theory, to include exchange and correlation effects by adding suitable potentials and fields that are functionals of the electron density [44].…”

Section: Derivation Of the Spin Wigner Modelmentioning

confidence: 99%

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Phase-space methods for the spin dynamics in condensed matter systems

Hurst

Hervieux

Manfredi

2017

Phil. Trans. R. Soc. A.

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Section: Discussionmentioning

confidence: 84%

Section: Discussionmentioning

confidence: 95%

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Phase-space methods for the spin dynamics in condensed matter systems

Hurst

Hervieux

Manfredi

2017

Phil. Trans. R. Soc. A.

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“…[2] On the length scales, of the order of a few Angstrom, quantum effects start to play a major role in the dynamics of the system. The quantum effects have vast applications in plasma physics such as in nano-structures devices, [3] semiconductors, [4] quantum diodes, [5] quantum dots, [6] ultrasmall electronics devices, [7] and ultracold plasmas. [8] The quantum effects also play an important role in both the laboratory plasmas, that is, laser-produced plasmas, [9] as well as in astrophysical plasmas like in the interiors of white dwarf and neutron stars.…”

Section: Introductionmentioning

confidence: 99%

“…In order to study the EAWs, the constituents of non-degenerate (thermal) plasma are considered to be of two groups of electrons having different number density and temperature, namely the cold electrons and the hot electrons. The quantum effects have vast applications in plasma physics such as in nano-structures devices, [3] semiconductors, [4] quantum diodes, [5] quantum dots, [6] ultrasmall electronics devices, [7] and ultracold plasmas. The sparsely populated electrons are termed as cold electrons while the densely populated ones are termed as hot electrons.…”

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confidence: 99%

Dispersion properties of electron acoustic waves in degenerate and non‐degenerate quantum plasmas

Fahad

Ahmad

Jan

et al. 2019

Contributions to Plasma Physics

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The longitudinal response functions are used to generalize the dispersion properties of electron acoustic waves (EAWs) in the presence of quantum recoil, for isotropic, non-relativistic, degenerate/non-degenerate plasmas. In order to study the EAWs, the constituents of non-degenerate (thermal) plasma are considered to be of two groups of electrons having different number density and temperature, namely the cold electrons and the hot electrons. Similarly in degenerate (Fermi) plasma the two population of electrons are considered to be the thinly populated and the thickly populated electrons. The sparsely populated electrons are termed as cold electrons while the densely populated ones are termed as hot electrons. The ions are stationary which form the neutralizing background. The absorption coefficients for Landau damping with the inclusion of the quantum recoil in both plasmas are calculated and discussed. The results are discussed in the context of laser-produced plasma. K E Y W O R D Sdegenerate and nondegenerate plasma, electron acoustic waves, Landau damping, quantum plasma, quantum recoil INTRODUCTIONQuantum plasma is referred to be degenerate, when its species like electrons, positrons, and holes are at high densities and low temperature, [1] where the inter-particle distance is smaller in comparison to de-Broglie wavelength. [2] On the length scales, of the order of a few Angstrom, quantum effects start to play a major role in the dynamics of the system. The quantum effects have vast applications in plasma physics such as in nano-structures devices, [3] semiconductors, [4] quantum diodes, [5] quantum dots, [6] ultrasmall electronics devices, [7] and ultracold plasmas. [8] The quantum effects also play an important role in both the laboratory plasmas, that is, laser-produced plasmas, [9] as well as in astrophysical plasmas like in the interiors of white dwarf and neutron stars. [10] By using the Lindhard dielectric function in a degenerate fermion plasma, the shielding of a moving point charge has been discussed. [11] The longitudinal response function for a thermal electron gas has been accounted by including the degeneracy, and the quantum recoil effects. [12] In the quantum fluid equations, the Bohm potential is the intrinsic quantum term, which is the consequence of quantum tunnelling effect of electrons. In plasma dynamics, the fluid approach is usually considered to be an approximation to a more general kinetic approach. Using the Vlasov equation Zhu et al, [13] investigated the Landau damping for electron plasma waves. They incorporated the quantum correction term, that is, Bohm potential as a quantum force.Recently the dispersion relation for ion acoustic waves (IAW) with the corresponding Landau damping were derived [14] for non-degenerate Maxwellian plasmas by using quantum treatment of kinetic theory, [15][16][17] (the generalized longitudinal response function) which we refer to a quantum plasma dynamics (QPD).

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Gradient correction and Bohm potential for two‐ and one‐dimensional electron gases at a finite temperature

Moldabekov

Bönitz

Рамазанов

2017

Contrib. Plasma Phys

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From the static polarization function of electrons in the random phase approximation, the quantum Bohm potential for the quantum hydrodynamic description of electrons and the density gradient correction to the Thomas–Fermi free energy at a finite temperature for the two‐ and one‐dimensional cases are derived. The behaviour of the Bohm potential and of the density gradient correction as a function of the degeneracy parameter is discussed. Based on recent developments in the fluid description of quantum plasmas, the Bohm potential for the high‐frequency domain is presented.

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Collective Electron Dynamics in Metallic and Semiconductor Nanostructures

Cited by 18 publications

References 103 publications

Phase-space methods for the spin dynamics in condensed matter systems

Phase-space methods for the spin dynamics in condensed matter systems

Dispersion properties of electron acoustic waves in degenerate and non‐degenerate quantum plasmas

Gradient correction and Bohm potential for two‐ and one‐dimensional electron gases at a finite temperature

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