Hydrodynamic theory of partially degenerate electron–hole fluids in semiconductors

Akbari-Moghanjoughi, M.; Eliasson, Bengt

doi:10.1088/0031-8949/91/10/105601

Cited by 26 publications

(12 citation statements)

References 49 publications

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“…Also, γ e = m e /m * e , γ h = m e /m * h and E g = µ h − µ e [80] is the normalized (to E p ) gap energy of semiconductor [80]. The characteristic eigenenergy equation in this case follows…”

Section: Plasmon Dispersion In Pair Plasmasmentioning

confidence: 99%

Effect of Dynamic Ions on Band Structure of Plasmon Excitations

Akbari-Moghanjoughi

2020

Preprint

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In this paper we develop a new method to study the plasmon energy band structure in multispecies plasmas. Using this method, we investigate plasmon dispersion band structure of different plasma systems with arbitrary degenerate electron fluid. The linearized Schrödinger-Poisson model is used to derive appropriate coupled pseudoforce system from which the energy dispersion structure is calculated. It is shown that the introduction of ion mobility, beyond the jellium (static ion) model with a wide plasmon energy band gap, can fundamentally modify the plasmon dispersion character leading to a new form of low-level energy band, due to the electron-ion band structure mixing. The effects ionic of charge state and chemical potential of the electron fluid on the plasmonic band structure indicate many new features and reveal the fundamental role played by ions in the phonon assisted plasmon excitations in the electron-ion plasma system. Moreover, our study reveals that ion charge screening has a significant impact on the plasmon excitations in ion containing plasmas. The energy band structure of pair plasmas confirm the unique role of ions on the plasmon excitations in many all plasma environments. Current research helps to better understand the underlying mechanisms of collective excitations in charged environment and the important role of heavy species on the elementary plasmon quasiparticles. The method developed in this research may also be extended for complex multispecies and magnetized quantum plasmas as well as to investigation the surface plasmon-polariton interactions in nanometallic structures.

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Section: Plasmon Dispersion In Pair Plasmasmentioning

confidence: 99%

Effect of Dynamic Ions on Band Structure of Plasmon Excitations

Akbari-Moghanjoughi

2020

Preprint

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“…with Λ being the electron de Broglie thermal wavelength. The EoS of isothermal free electron gas with arbitrary degeneracy is then written as [46] P (µ, T ) = n(µ, T ) β…”

Section: Equation Of State Of the Free Electron Gasmentioning

confidence: 99%

Quantized plasmon excitations of electron gas in potential well

Akbari-Moghanjoughi

2019

Physics of Plasmas

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“…with Λ being the electron thermal de Broglie wavelength. Therefore, the equation of state of an isothermal free electron gas with arbitrary degeneracy may be written as [56] P (µ 0 , T ) = n(µ 0 , T ) β…”

Section: Physical Modelmentioning

confidence: 99%

Characteristics of plasmon transmittivity over potential barriers

Akbari-Moghanjoughi

2019

Physics of Plasmas

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In this paper we use the Schrödinger-Poisson model to obtain a linear coupled pseudoforce system from which the wave function and the electrostatic potential of the free electron gas plasmon is deduced. It is shown that unlike for single particle wave function the plasmon wave function and corresponding electrostatic potential are characterized with two different wave numbers associated with two distinct characteristic length scales, namely, that of the single electron oscillation and of the collective Langmuir excitations. Interaction of plasmon with a rectangular potential step/well indicates features common with that of the ordinary single quantum particle. However, the twotone oscillation character of the wave function and potential appear on the transmitted amplitude over the potential barrier/well. The plasmon propagation is found to have a distinct energy gap corresponding to the plasmon energy value of ǫ g = µ 0 + 2ǫ p below which no plasmon excitations occur. For instance, the zero-point plasmon excitation energy for Aluminium, is around ǫ 0 ≃ 41.7eV at room temperature, with the Fermi energy of ǫ F ≃ 11.7eV and plasmon energy of ǫ p ≃ 15eV. It is seen that for plasmon energies very close to the energy gap, i.e. where the two characteristic scales match (k 1 ≃ k 2 ), the quantum beating effect takes place. The study of plasmon tunneling through the potential barrier indicates that the transmittivity has oscillatory behavior similar to that of a quantum particle tunneling through the potentials, but, with a characteristic two-tone oscillatory profiles. Current development can have a broad range of applications in plasmon transport through diverse free electron environments with arbitrary degeneracy and electron temperature. It also makes progress in rapidly growing nanotechnology and plasmonic fields.

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Hydrodynamic theory of partially degenerate electron–hole fluids in semiconductors

Cited by 26 publications

References 49 publications

Effect of Dynamic Ions on Band Structure of Plasmon Excitations

Effect of Dynamic Ions on Band Structure of Plasmon Excitations

Quantized plasmon excitations of electron gas in potential well

Characteristics of plasmon transmittivity over potential barriers

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