The Conductivity of Semiconductors with Superlattice

Shmelev, G. M.; Chaikovskii, I. A.; Shon, Chan Min

doi:10.1002/pssb.2220760242

Cited by 9 publications

(5 citation statements)

References 5 publications

(2 reference statements)

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“…c Ω E 0 cos(Ωt) is the vector potential; E 0 and Ω are the intensity and the frequency of the EMW; a + n, , p (a n, , p ) is the creation (annihilation) operator of an electron; b + q (b q ) is the creation (annihilation) operator of a optical phonon for a state having wave vector q; ω is the frequency of a optical phonon; and C q is the electron-optical phonon interaction constant, which can be taken as [1,5,6]…”

Section: The Nonlinear Absorption Coefficient Of a Strong Emw In A Cqwmentioning

confidence: 99%

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The Nonlinear Absorption of a Strong Electromagnetic Waves Caused by Confined Electrons in a Cylindrical Quantum Wire

Trien¹,

Nhan²

2011

PIER Letters

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Abstract-The nonlinear absorption of a strong electromagnetic wave caused by electrons confined in cylindrical quantum wires is theoretically studied by using the quantum kinetic equation for electrons. An analytic expression of the nonlinear absorption coefficient of a strong electromagnetic wave caused by electrons confined in a cylindrical quantum wire with a parabolic potential for electron-optical phonon scattering is obtained. The dependence of the nonlinear absorption coefficient on the intensity E 0 and the frequency Ω of the external strong electromagnetic wave, the temperature T of the system and the radius R of the wires is strong and nonlinear. Analytic expression is numerically calculated and discussed for a GaAs/GaAsAl quantum wire. The results are compared with those for normal bulk semiconductors and quantum wells to show the differences.

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Section: The Nonlinear Absorption Coefficient Of a Strong Emw In A Cqwmentioning

confidence: 99%

“…In recent years, the optical properties in bulk semiconductors, as well as low-dimensional systems, have been investigated [1][2][3][4][5][6][7][8][9][10][11]. The linear absorption has been studied in normal bulk semiconductors 1, 2], in two dimensional systems [3][4][5][6] and in quantum wires [7,8].…”

Section: Introductionmentioning

confidence: 99%

The Nonlinear Absorption of a Strong Electromagnetic Waves Caused by Confined Electrons in a Cylindrical Quantum Wire

Trien¹,

Nhan²

2011

PIER Letters

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“…This further increases the dc electrical conductivity, due to size effect [14] [15] [16]. Research into AE is very relevant, due to the complementary role it plays in understanding the thermal, electrical and electronic properties of semiconductors and its position in acoustoelectronics.…”

Section: Introductionmentioning

confidence: 99%

Acoustoelectric Effect in Fluorinated Carbon Nanotube in the Absence of External Electric Field

Sakyi-Arthur¹,

Mensah²,

Adu³

et al. 2020

WJCMP

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Acoustoelectric effect (AE) in a non-degenerate Fluorine modified single walled carbon nanotube (FSWCNT) semiconductor is studied theoretically using the Boltzmann's transport equation. The study is done in the hypersound regime i.e. 1 q  , where q is the acoustic phonon wavenumber and  is the electron mean free path. The results obtained are compared with that of undoped single walled carbon nanotube (SWCNT). The AE current density for FSWCNT is observed to be four orders of magnitude smaller than that of undoped SWCNT with increasing temperature, that is FSWCNT SWCNT z z j j . This is because the electron-phonon interactions in SWCNT are stronger than FSWCNT. Thus, there are more intra-mini-band electrons interacting with the acoustic phonons to generate a higher AE current in SWCNT than in FSWCNT. This has been observed experimentally, where the electrical resistance of FSWCNT is higher than pristine SWCNT i.e. 20 M R Ω . The study shows the potential for FSWCNT as an ultrasound current source density imaging (UCSDI) and AE hydrophone material. However, FSWCNT offers the potential for room temperature applications of acoustoelectric device but other techniques are needed to reduce the resistance.

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“…Many papers have appeared dealing with these behaviors, for examples, electron-phonon interaction and scattering rates [1][2][3] and electrical conductivity [4,5]. The problems of the absorption coefficient for a weak electromagnetic wave (EMW) in semiconductor [6,7], in quantum wells [8] and in DSLs [9] have also been investigated and resulted by using Kubo-Mori method. The nonlinear absorption problem of free electrons in normal bulk semiconductors [10] and confined electrons in quantum wells [11] with case of unconfined phonons have been studied by quantum kinetic equation method.…”

Section: Introductionmentioning

confidence: 99%

The Influences of Confined Phonons on the Nonlinear Absorption Coefficient of a Strong Electromagnetic Wave by Confined Electrons in Doping Superlattices

Bau¹,

Hung²,

Hung³

2010

PIER Letters

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The influences of confined phonons on the nonlinear absorption coefficient (NAC) by a strong electromagnetic wave for the case of electron-optical phonon scattering in doped superlattices (DSLs) are theoretically studied by using the quantum transport equation for electrons. The dependence of NAC on the energy (Ω), the amplitude E 0 of external strong electromagnetic wave, the temperature (T) of the system, is obtained. Two cases for the absorption: Close to the absorption threshold |k Ω − ω 0 | ε and far away from the absorption threshold |k Ω − ω 0 | ε (k = 0, ±1, ±2,. .. , ω 0 andε are the frequency of optical phonon and the average energy of electrons, respectively) are considered. The formula of the NAC contains a quantum number m characterizing confined phonons. The analytic expressions are numerically evaluated, plotted and discussed for a specific of the n-GaAs/p-GaAs DSLs. The computations show that the spectrums of the NAC in case of confined phonon are much different from they are in case of unconfined phonon and strongly depend on a quantum number m characterizing confinement phonon.

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The Conductivity of Semiconductors with Superlattice

Cited by 9 publications

References 5 publications

The Nonlinear Absorption of a Strong Electromagnetic Waves Caused by Confined Electrons in a Cylindrical Quantum Wire

The Nonlinear Absorption of a Strong Electromagnetic Waves Caused by Confined Electrons in a Cylindrical Quantum Wire

Acoustoelectric Effect in Fluorinated Carbon Nanotube in the Absence of External Electric Field

The Influences of Confined Phonons on the Nonlinear Absorption Coefficient of a Strong Electromagnetic Wave by Confined Electrons in Doping Superlattices

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