Quantum Level Instability of Transverse Excitation in Electron Flow

Akbari-Moghanjoughi, M.

doi:10.1007/s11468-022-01712-w

Cited by 2 publications

(1 citation statement)

References 79 publications

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“…This is a very simplifying assumption which can lead to deviations from real experimental data because of ignorance of electrostatic interactions among electrons which can fundamentally modify the energy dispersion of electrons in collective excitations like plasmons. More recently, a dual length-scale theory of collective electron excitations [55][56][57] has been developed in which the plasmons carry two characteristic momentum, one due to the single-electron oscillations and the other due to their collective electrostatic interaction in the electron gas. It has been shown that the heat capacity of a quantum electron gas is greatly modified due to plasmonic effects at high electron gas temperatures [58].…”

Section: Introductionmentioning

confidence: 99%

Plasmonic Dielectric Response of Finite Temperature Electron Gas

Akbari-Moghanjoughi

2022

Preprint

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In this research we report the dielectric response of a finite temperature electron gas, electrostatically interacting with both external and self-induced plasmonic fields, in the well-known random phase approximation. The generalized energy dispersion relation which incorporates the plasmonic band structure is used to calculate the Lindhard dielectric response of homogenous electron gas from which many important physical functionals, such as the structure factor, loss function, screening potential, optical reflectivity and electronic stopping power are deduced. The present dual length-scale theory of dielectric response incorporates both single electron as well as collective electrostatic oscillation of electrons which, due to the Van-Hove-like singularity at plasmon wavenumber, shows distinct features of plasmonic response to electromagnetic interactions of the electron gas with arbitrary degree of electron degeneracy. It is shown that the static impurity charge screening potential is oscillatory Lennard-Jones-type attractive potential which is quite different from both predicted by the Conventional noninteracting Lindhard theory and the Shukla-Eliasson attractive potential obtained from quantum hydrodynamic approach. It is also revealed that due to resonant electron-plasmon interactions and multi-pole structure of the electronic response function the Landau damping region is scattered. The findings of current research may have important implications for a wide range of physical phenomena relevant to a broad nonrelativistic electron density-temperature regime, from the laboratory scale semiconductors and nanoelectronic technology to the warm dense matter state.

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Section: Introductionmentioning

confidence: 99%

Plasmonic Dielectric Response of Finite Temperature Electron Gas

Akbari-Moghanjoughi

2022

Preprint

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Quasiparticle approach to collective quantum dielectric response

Akbari-Moghanjoughi

2023

Physics of Plasmas

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In current research, we use a generalized quantum multistream model to develop an effective quasiparticle theory for quantum many-body effects. The N-electron Schrödinger–Poisson stream model is reduced to a system of coupled differential equations with new wavefunction representation for collective quantum excitations in the many electron system. The current theory is then applied to the collective quantum statistical behavior of homogenous electron gas. Moreover, the generalized energy dispersion relation, which incorporates the quasiparticle band structure, is used to calculate the linear dielectric response of collective quantum excitations in the electron gas with arbitrary degree of degeneracy beyond many-body theories, limiting assumptions such as the independent electron and the random phase approximations. Important parameters of electron gas such as the dynamic structure factor, the loss function, the static charge screening, optical reflectivity, and the electronic stopping power are investigated as applications of current theory. The quasiparticle theory incorporates effects both due to single-electron excitations as well as the electrostatic interaction among electrons in a single picture. Existence of Van-Hove-like singularity at the plasmon wavenumber leads to distinct features of quasiparticle response to electromagnetic perturbations in the electron gas. It is shown that collective quantum excitations in high density electron gas below a given critical electron temperature are blocked due to existence of a large quasiparticle energy bandgap above the Fermi level. A new equation of states is given for the quasiparticle excitation in the electron gas, based on the transition probability of electrons to the quasiparticle level. It is found that, the screening potential of a static charge in quasiparticle model has an oscillatory Lennard–Jones-type attractive form.

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Quantum Level Instability of Transverse Excitation in Electron Flow

Cited by 2 publications

References 79 publications

Plasmonic Dielectric Response of Finite Temperature Electron Gas

Plasmonic Dielectric Response of Finite Temperature Electron Gas

Quasiparticle approach to collective quantum dielectric response

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