Electron confinement in quantum nanostructures: Self-consistent Poisson-Schrödinger theory

Luscombe, James H.; Bouchard, Ann M.; Luban, Marshall

doi:10.1103/physrevb.46.10262

Cited by 86 publications

(38 citation statements)

References 21 publications

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“…34 In contrast with other methods, such as the modified Thomas-Fermi approximation, 27 the contribution of all the subbands to the electron density is explicitly calculated in the present approach. 35 The Fermi level E F in Eq. ͑2͒, which sets the occupancy of the conduction band, is determined by taking into account that the total charge and must be equal to the charge provided by the donor impurities density and by the surface states density, i.e.,…”

Section: Theoretical Modelmentioning

confidence: 99%

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Inhomogeneous free-electron distribution in InN nanowires: Photoluminescence excitation experiments

et al. 2010

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Photoluminescence excitation ͑PLE͒ spectra have been measured for a set of self-assembled InN nanowires ͑NWs͒ and a high-crystalline quality InN layer grown by molecular-beam epitaxy. The PLE experimental lineshapes have been reproduced by a self-consistent calculation of the absorption in a cylindrical InN NW. The differences in the PLE spectra can be accounted for the inhomogeneous electron distribution within the NWs caused by a bulk donor concentration ͑N D + ͒ and a two-dimensional density of ionized surface states ͑N ss + ͒.For NW radii larger than 30 nm, N D + and N ss + modify the absorption edge and the lineshape, respectively, and can be determined from the comparison with the experimental data.

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Section: Theoretical Modelmentioning

confidence: 99%

“…As an effect of the low temperature ͑10 K͒, Friedel-type oscillations are present for all the n͑r͒ distributions. 35 The calculated optical absorption of InN NWs with different radii is presented in Fig. 5.…”

Section: A Effect Of the Nanowire Radiusmentioning

confidence: 99%

Inhomogeneous free-electron distribution in InN nanowires: Photoluminescence excitation experiments

et al. 2010

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“…The study of these properties is relevant for the fabrication of semiconductor superlattices [1][2][3]. This has motivated in the last years, based on the classical modelling of an electron gas by means of the Schr odinger-Poisson system [4,5], the appearance of di erent adaptations of this model in the literature for electron transport under particular contexts [6][7][8]. Particularly, the analysis of the quantum transport in an homogeneous semiconductor can be simpliÿed thanks to the 372 Ã O.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic decay estimates for the repulsive Schrödinger–Poisson system

Sánchez

Soler

2004

Math Methods in App Sciences

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SUMMARYIn this paper the time decay rates for the solutions to the Schr odinger-Poisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation. In the attractive case some examples, based on the Galilean invariance, are proposed showing that the solutions does not have a dispersive character.

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“…In order to describe these quantum effects, it is unlikely that classical transport models will be sufficient. Quantum transport equations, such as the Schrödinger-Poisson or the Wigner-Poisson systems [1]- [7], will therefore be a necessary tool in order to understand the basic properties of these physical systems.…”

Section: Introductionmentioning

confidence: 99%

Multistream model for quantum plasmas

Haas¹,

Manfredi²,

2000

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The dynamics of a quantum plasma can be described self-consistently by the nonlinear Schrödinger-Poisson system. Here, we consider a multistream model representing a statistical mixture of N pure states, each described by a wavefunction. The one-stream and two-stream cases are investigated. We derive the dispersion relation for the two-stream instability and show that a new, purely quantum, branch appears. Numerical simulations of the complete Schrödinger-Poisson system confirm the linear analysis, and provide further results in the strongly nonlinear regime. The stationary states of the Schrödinger-Poisson system are also investigated. These can be viewed as the quantum mechanical counterpart of the classical Bernstein-Greene-Kruskal modes, and are described by a set of coupled nonlinear differential equations for the electrostatic potential and the stream amplitudes.

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Electron confinement in quantum nanostructures: Self-consistent Poisson-Schrödinger theory

Cited by 86 publications

References 21 publications

Inhomogeneous free-electron distribution in InN nanowires: Photoluminescence excitation experiments

Inhomogeneous free-electron distribution in InN nanowires: Photoluminescence excitation experiments

Asymptotic decay estimates for the repulsive Schrödinger–Poisson system

Multistream model for quantum plasmas

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