Plasmon dispersion of a two-dimensional electron system with finite layer width

Fukuda, Taturo; Hiraiwa, N.; Mitani, Tatsuro; Toyoda, Tadashi

doi:10.1103/physrevb.76.033416

Cited by 5 publications

(4 citation statements)

References 18 publications

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“…Static correlations, further augmented by dynamic ones, act in the opposite direction. Temperature effects raise ω pl (q), while increasing the layer width softens it [26,45]: The smeared out wave function ϕ 0 (z) of the quantum well reduces the effective interaction and thus lowers the RPA correlations (approaching the bulk result for very wide wells would require to account for multiple subbands).…”

Section: Comparison With the Classical Dispersionmentioning

confidence: 99%

Dynamic correlations in the highly dilute 2D electron liquid: Loss function, critical wave vector and analytic plasmon dispersion

Drachta

Kreil

Hobbiger

et al. 2018

Physica E: Low-dimensional Systems and Nanostructures

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Correlations, highly important in low-dimensional systems, are known to decrease the plasmon dispersion of two?dimensional electron liquids. Here we calculate the plasmon properties, applying the ?Dynamic Many-Body Theory?, accounting for correlated two-particle-two-hole fluctuations. These dynamic correlations are found to significantly lower the plasmon's energy. For the data obtained numerically, we provide an analytic expression that is valid across a wide range both of densities and of wave vectors. Finally, we demonstrate how this can be invoked in determining the actual electron densities from measurements on an AlGaAs quantum well.

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Section: Comparison With the Classical Dispersionmentioning

confidence: 99%

Dynamic correlations in the highly dilute 2D electron liquid: Loss function, critical wave vector and analytic plasmon dispersion

Drachta

Kreil

Hobbiger

et al. 2018

Physica E: Low-dimensional Systems and Nanostructures

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“…It is also necessary to consider explicitly the confining potential V conf. ( x 3 ) and the 3-dimensional kinetic energy in the Hamiltonian 26 , 34 . We assume the electrons are in the ground state of V conf.…”

Section: Methodsmentioning

confidence: 99%

Magnetic induction dependence of Hall resistance in Fractional Quantum Hall Effect

Toyoda

2018

Sci Rep

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Quantum Hall effects (QHE) are observed in two-dimensional electron systems realised in semiconductors and graphene. In QHE the Hall resistance exhibits plateaus as a function of magnetic induction. In the fractional quantum Hall effects (FQHE) the values of the Hall resistance on plateaus are h/e2 divided by rational fractions, where −e is the electron charge and h is the Planck constant. The magnetic induction dependence of the Hall resistance is the strongest experimental evidence for FQHE. Nevertheless a quantitative theory of the magnetic induction and temperature dependence of the Hall resistance is still missing. Here we constructed a model for the Hall resistance as a function of magnetic induction, chemical potential and temperature. We assume phenomenological perturbation terms in the single-electron energy spectrum. The perturbation terms successively split a Landau level into sublevels, whose reduced degeneracies cause the fractional quantization of Hall resistance. The model yields all 75 odd-denominator fractional plateaus that have been experimentally found. The calculated magnetic induction dependence of the Hall resistance is consistent with experiments. This theory shows that the Fermi liquid theory is valid for FQHE.

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“…The aim of this paper is to advance their theory by carrying out fully analytical calculation of the dispersion, i.e., without depending on numerical computations, including the effects of the finite layer thickness on the dispersion relation of the longitudinal plasmon in a 2DEG embedded in a bulk dielectric and subject to a quantizing magnetic field, within the theoretical framework of the SCLRA used in our previous work [17][18][19][20][21]. We also present the calculation of the retarded density-density response function on the basis of the canonical commutators of the electron field operators in the Heisenberg picture in details.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Induction Dependence of the Dispersion of Magnetoplasmon in a Two-Dimensional Electron Gas With Finite Layer Thickness

Uchida

Hiraiwa

Yamada³

et al. 2014

Int. J. Mod. Phys. B

Self Cite

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Magnetic induction dependence of the dispersion of longitudinal magnetoplasmon in a twodimensional electron gas with finite layer thickness under a static uniform magnetic field normal to the layer plane is calculated using the self-consistent linear response approximation. Two longitudinal magnetoplasmon modes are obtained. The calculated dispersion agrees with the experiment by Batke et al. [Phys. Rev. B 34, 6951 (1986)].

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Plasmon dispersion of a two-dimensional electron system with finite layer width

Cited by 5 publications

References 18 publications

Dynamic correlations in the highly dilute 2D electron liquid: Loss function, critical wave vector and analytic plasmon dispersion

Dynamic correlations in the highly dilute 2D electron liquid: Loss function, critical wave vector and analytic plasmon dispersion

Magnetic induction dependence of Hall resistance in Fractional Quantum Hall Effect

Magnetic Induction Dependence of the Dispersion of Magnetoplasmon in a Two-Dimensional Electron Gas With Finite Layer Thickness

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