2016
DOI: 10.1007/s10825-016-0911-5
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Fully self-consistent analysis of III-nitride quantum cascade structures

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Cited by 18 publications
(12 citation statements)
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“…All results are obtained by mean of self-consistently solving Schrödinger and Poisson equations. [33,34] Absorption coefficient of intersubband transition can be obtained as [29,35] quantum well is formed by a nm-thick GaN layer sandwiched between two 8 nm-thick AlN layers. Doping concentration of well and barrier layer is at the level of 10 17 and 10 16 cm −3 and temperature is fixed at room temperature (300 K).…”
Section: Methods and Modelmentioning
confidence: 99%
“…All results are obtained by mean of self-consistently solving Schrödinger and Poisson equations. [33,34] Absorption coefficient of intersubband transition can be obtained as [29,35] quantum well is formed by a nm-thick GaN layer sandwiched between two 8 nm-thick AlN layers. Doping concentration of well and barrier layer is at the level of 10 17 and 10 16 cm −3 and temperature is fixed at room temperature (300 K).…”
Section: Methods and Modelmentioning
confidence: 99%
“…is the Hedin-Lundquist exchange-correlation potential [24], where B is the Bohr radius. The solution of the Schrödinger-Poisson system of equations in calculating the potential profiles of nanosystems was determined mainly numerically [7]. Then, using the approach used in the paper [8], the potential ( ) determined by the contribution of the charge carriers within the RTS, can be represented in an analytical form:…”
Section: -2mentioning
confidence: 99%
“…Lately, considerable attention of researchers of multilayer nitride nanostructures has been paid to the study of internal electric fields arising in RTS layers due to significant values of spontaneous and piezoelectric polarizations [5,6], and due to the development of methods for calculating potential profiles of these nanosystems [7,8]. Besides, some theoretical and experimental papers deal with the study of excitons and interband transitions in the mentioned nanosystems [9,10].…”
Section: Introductionmentioning
confidence: 99%
“…According to the papers [19,21,25,26], the effective potential of the RTS for an electron will be determined as the sum of the components:…”
Section: )mentioning
confidence: 99%
“…Since it takes into account only the contribution of internal electric fields in the effective potential for an electron, as it will be shown below, it can be used only for the qualitative estimations. In addition, widely used is the method based on the numerical solution of the Schrödinger and Poisson equations [19][20][21], as well as on the software [22] which is often employed by experimenters for calculations [4,6,23,24] based on the k · p method. Generally, the disadvantages of most numerical methods for RTS potential profiles calculation include the linearization of the Schrödinger and Poisson equations at the initial stage of their solution, as well as the neglect of the influence of the boundary conditions for the wave function and the fluxes of its probability.…”
Section: Introductionmentioning
confidence: 99%