First-principles analysis of nanoelectromechanical systems using Loewner equation

The Loewner equation (LE) is used to obtain conformal mappings that lead to exact and analytical expressions for several electrostatic properties of realistic quasi-unidimensional nanoelectromechanical systems (NEMS). The LE approach also embraces curved geometries, impossible to be addressed by tra...

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Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Marcelino, Edgar, de Assis, Thiago A, Caio M C de Castilho, Andrade, Roberto F S
Format: Article
Language:English
Subjects:
Demodulation
Emitters
First principles
Mathematical analysis
Nanoelectromechanical systems
Nanotechnology devices
Schwarz-Christoffel transformation
Universe
Online Access:Get full text
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Summary:The Loewner equation (LE) is used to obtain conformal mappings that lead to exact and analytical expressions for several electrostatic properties of realistic quasi-unidimensional nanoelectromechanical systems (NEMS). The LE approach also embraces curved geometries, impossible to be addressed by traditional methods such as the Schwarz-Christoffel transformation, often used in this scenario. Among the possible applications of the formalism, we show that it allows for an exact evaluation of the field enhancement factor (FEF) close to the apex of different emitters. Despite its key role in the demodulation process for radio-receiver nano-devices, actual FEF values have been mostly obtained via numerical and/or phenomenological approaches. This work extends the already huge universe of applications of the LE and provides an analytical method to evaluate the FEF, even for curved emitters. Furthermore, our results provide a signature of the varying emitted current's response due to the nanostructure oscillation, justifying its role in the demodulation process of radio-frequency.
ISSN:2331-8422
DOI:10.48550/arxiv.1809.10445