Effective Simulations of Electronic Transport in 2D Structures Based on Semiconductor Superlattice Infinite Model

Mączka, M.

doi:10.3390/electronics9111845

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…The use of Fortran (Intel Parallel Studio XE Composer Edition for Fortran Windows) or C++ (Dev-C++) allows for effective management of available computer hardware resources as well as full control over the accuracy of the obtained results. It was described in the works [32,33], where the authors have a similar approach to solving scientific problems, as well as our previous publications [34]. Based on the presented formulae, a numerical program was prepared to calculate the distribution of the electromagnetic field and the current density flow field in the conductive path and its impedance Z.…”

Section: Calculation Resultsmentioning

confidence: 99%

“…accuracy of the obtained results. It was described in the works [32,33], where the authors have a similar approach to solving scientific problems, as well as our previous publications [34]. Based on the presented formulae, a numerical program was prepared to calculate the distribution of the electromagnetic field and the current density flow field in the conductive path and its impedance Z.…”

Section: Calculation Resultsmentioning

confidence: 99%

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The Influence of the Skin Phenomenon on the Impedance of Thin Conductive Layers

Pawłowski,

Plewako,

Korzeniewska

et al. 2023

Electronics

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This paper analyzes the influence of the skin effect and the proximity effect on the inductance and impedance of thin conductive layers. The motivation for taking up this topic is the initial assessment of the possibility of using conductive layers deposited with the PVD technique on textile materials as strip or planar transmission lines of high-frequency signals (e.g., for transmitting images). This work pursues two goals. The first of them is to develop and test a numerical procedure for calculating the electromagnetic field distribution in this type of issue, based on the fundamental solution method (FSM). The second aim is to examine the impact of the skin phenomenon on the resistance, inductance and impedance of thin conductive paths. The correctness and effectiveness of FSM for the analysis of harmonics of electromagnetic fields in systems containing thin conductive layers were confirmed. Based on the performed simulations, it was found that in the frequency range above 10 MHz, the dependence of resistance and impedance on frequency is a power function with an exponent independent of the path width. Moreover, it was found that for paths with a width at least several times greater than their thickness, the dependence of the phase shift between current and voltage on frequency practically does not depend on the path width.

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Section: Calculation Resultsmentioning

confidence: 99%

Section: Calculation Resultsmentioning

confidence: 99%

The Influence of the Skin Phenomenon on the Impedance of Thin Conductive Layers

Pawłowski,

Plewako,

Korzeniewska

et al. 2023

Electronics

View full text Add to dashboard Cite

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Quantum Effects Induced by Defects in Thin-Film Structures: A Hybrid Modeling Approach to Conductance and Transmission Analysis

Mączka,

Hałdaś,

Pawłowski

et al. 2024

Electronics

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This study investigated the possibility of quantum effects arising from defects resulting from the use of textronic electroconductive thin films and evaluated their impact on control characteristics. A hybrid model, where the classical approach to determine stationary fields based on the boundary element method was combined with a quantum mechanical approach using nonequilibrium Green’s functions, was created. The results of conductance and transmission coefficient simulations for different types of defects in the studied structure and a wide range of temperatures assuming two different control modes are presented. Based on the results, the conditions for the occurrence of quantum effects on the surface of conducting paths containing defects were specified, and their impact on conductance in the quantum mechanical approach was estimated.

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A Polynomial Approximation to Self Consistent Solution for Schrödinger–Poisson Equations in Superlattice Structures

Mączka

Pawłowski

2022

Energies

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The paper deals with a new approach to iterative solving the Schrödinger and Poisson equations in the first type of semiconductor superlattice. Assumptions of the transfer matrix method are incorporated into the approach, which allows to take into account the potential varying within each single layer of bias voltage superlattice. The key process of the method is to approximate the charge density and wave functions with polynomials. It allows to obtain semi-analytical solutions for the Schrödinger and Poisson equations, which in turn have significant impact on the accuracy and speed of superlattice simulations. The presented procedure is also suifihue for finding eigenstates extended over relatively large superlattice area, and it can be used as an effective pro-gram module for a superlattice finite model. The obtained quantum states are very similar to the Wannier-Stark functions, and they can serve as the base under non-equilibrium Green’s function formalism (NEGF). Exemplary results for Schrödinger and Poisson solutions for superlattices based on the GaAs / AlGaAs heterostructure are presented to prove all the above.

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Effective Simulations of Electronic Transport in 2D Structures Based on Semiconductor Superlattice Infinite Model

Cited by 4 publications

References 22 publications

The Influence of the Skin Phenomenon on the Impedance of Thin Conductive Layers

The Influence of the Skin Phenomenon on the Impedance of Thin Conductive Layers

Quantum Effects Induced by Defects in Thin-Film Structures: A Hybrid Modeling Approach to Conductance and Transmission Analysis

A Polynomial Approximation to Self Consistent Solution for Schrödinger–Poisson Equations in Superlattice Structures

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