Quantized plasmon excitations of electron gas in potential well

Akbari-Moghanjoughi, M.

doi:10.1063/1.5078740

Cited by 34 publications

(27 citation statements)

References 79 publications

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“…One of the most effective hydrodynamic formalism for studying the quantum aspects of plasmas is the Schrödinger–Poisson model 63 , 64 , based on the Madelung quantum fluid theory which originally attempted for the single-electron quantum fluid modeling 65 . It has been recently shown that the analytic investigation of linearized Schrödinger–Poisson system for arbitrary degenerate electron gas provides routes to some novel quantum feature of collective plasmon excitations 66 – 68 . In current study we use the multistream model in order to investigate the band structure plasmon excitations in streaming plasmas and plasmonic lattices.…”

Section: Introductionmentioning

confidence: 99%

Energy band structure of multistream quantum electron system

Akbari-Moghanjoughi

2021

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In this paper, using the quantum multistream model, we develop a method to study the electronic band structure of plasmonic excitations in streaming electron gas with arbitrary degree of degeneracy. The multifluid quantum hydrodynamic model is used to obtain N-coupled pseudoforce differential equation system from which the energy band structure of plasmonic excitations is calculated. It is shown that inevitable appearance of energy bands separated by gaps can be due to discrete velocity filaments and their electrostatic mode coupling in the electron gas. Current model also provides an alternative description of collisionless damping and phase mixing, i.e., collective scattering phenomenon within the energy band gaps due to mode coupling between wave-like and particle-like oscillations. The quantum multistream model is further generalized to include virtual streams which is used to calculate the electronic band structure of one-dimensional plasmonic crystals. It is remarked that, unlike the empty lattice approximation in free electron model, energy band gaps exist in plasmon excitations due to the collective electrostatic interactions between electrons. It is also shown that the plasmonic band gap size at first Brillouin zone boundary maximizes at the reciprocal lattice vector, G, close to metallic densities. Furthermore, the electron-lattice binding and electron-phonon coupling strength effects on the electronic band structure are discussed. It is remarked that inevitable formation of energy band structure is a general characteristics of various electromagnetically and gravitationally coupled quantum multistream systems.

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Section: Introductionmentioning

confidence: 99%

Energy band structure of multistream quantum electron system

Akbari-Moghanjoughi

2021

Sci Rep

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“…One of the most effective hydrodynamic formalism for studying the quantum aspects of plasmas is the Schrödinger-Poisson model [59,60], based on the Madelung quantum fluid theory which originally attempted for the single-electron quantum fluid modeling [61]. It has been recently shown that the analytic investigation of linearized Schrödinger-Poisson system for arbitrary degenerate electron gas provides routes to some novel quantum feature of collective plasmon excitations [62,63]. In current study we use the multistream model in order to investigate the band structure plasmon excitations in streaming plasmas and plasmonic lattices.…”

Section: Introductionmentioning

confidence: 99%

Energy Band Structure of Multistream Quantum Electron System

Akbari-Moghanjoughi¹

2021

Preprint

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In this paper, using the quantum multistream model, we develop a method to study the electronic band structure of plasmonic excitations in streaming electron gas with arbitrary degree of degeneracy. The multifluid quantum hydrodynamic model is used to obtain N -coupled pseudoforce differential equation system from which the energy band structure of plasmonic excitations is calculated. It is shown that inevitable appearance of energy bands separated by gaps can be due to discrete velocity filaments and their electrostatic mode coupling in the electron gas. Current model also provides an alternative description of collisionless damping and phase mixing, i.e., collective scattering phenomenon within the energy band gaps due to mode coupling between wave-like and particle-like oscillations. The quantum multistream model is further generalized to include virtual streams which is used to calculate the electronic band structure of one-dimensional plasmonic crystals. It is remarked that, unlike the empty lattice approximation in free electron model, energy band gaps exist in plasmon excitations due to the collective electrostatic interactions between electrons.It is also shown that the plasmonic band gap size at first Brillouin zone boundary maximizes at the reciprocal lattice vector, G, close to metallic densities. Furthermore, the electron-lattice binding and electron-phonon coupling strength effects on the electronic band structure are discussed. It is remarked that inevitable formation of energy band structure is a general characteristics of various electromagnetically and gravitationally coupled quantum multistream systems.

show abstract

“…One of the most effective hydrodynamic formalism for studying the quantum aspects of plasmas is the Schrödinger-Poisson model [59,60], based on the Madelung quantum fluid theory which originally attempted for the single-electron quantum fluid modeling [61]. It has been recently shown that the analytic investigation of linearized Schrödinger-Poisson system for arbitrary degenerate electron gas provides routes to some novel quantum feature of collective plasmon excitations [62,63]. In current study we use this model in order investigate the quantum interference and phase mixing in electron gases with arbitrary degree of degeneracy, based on the collective quasiparticle orbital concept based on pseudoforce formulation.…”

Section: Introductionmentioning

confidence: 99%

Quantum Interference and Phase Mixing in Multistream Plasmas

Akbari-Moghanjoughi¹

2021

Preprint

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In this paper the kinetic corrected Schrödinger-Poisson model is used to obtain the pseudoforce system in order to study variety of streaming electron beam-plasmon interaction effects. The noninteracting stream model is used to investigate the quantum electron beam interference and electron fluid Aharonov-Bohm effects. The model is further extended to interacting two-stream quantum fluid model in order to investigate the orbital quasiparticle velocity, acceleration and streaming power. It is shown that quantum phase mixing in the two-stream model is due to quasiparticle conduction band overlap caused by the Doppler shift in streaming electron de Broglie wavenumbers, a phenomenon which is also known to be a cause for two-stream plasma instability. However, in this case the phase mixing leads to some novel phenomena like stream merging and backscattering.To show the effectiveness of model, it is used to investigate the electron beam-phonon and electron beam-lattice interactions in different beam, ion and lattice parametric configurations. Current density of beam is studied in spatially stable and damping quasiparticle orbital for different symmetric and asymmetric momentum-density arrangements. These basic models may be helpful in better understanding of quantum phase mixing and scattering at quantum level and can be elaborated to study electromagnetic electron beam-plasmon interactions in complex quantum plasmas.

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Quantized plasmon excitations of electron gas in potential well

Cited by 34 publications

References 79 publications

Energy band structure of multistream quantum electron system

Energy band structure of multistream quantum electron system

Energy Band Structure of Multistream Quantum Electron System

Quantum Interference and Phase Mixing in Multistream Plasmas

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