基于Loewner方程的纳机电系统第一性原理分析
First-principles analysis of nanoelectromechanical systems using Loewner equation
摘要：
Loewner方程（LE）是用来获得共形映射，导致精确和解析表达式的几个静电性能的现实准一维纳机电系统（NEMS）。LE方法还包括弯曲的几何形状，不可能通过传统的方法，如Schwarz-Christoffel变换，经常在这种情况下使用。在可能的应用中的形式主义，我们表明，它允许一个精确的评价接近不同的发射体的顶点的场增强因子（FEF）。尽管它在无线电接收器纳米器件的解调过程中起着关键作用，但实际的FEF值主要是通过数值和/或唯象方法获得的。这项工作扩展了LE已经巨大的应用领域，并提供了一种分析方法来评估FEF，即使是弯曲的发射器。此外，我们的研究结果提供了一个签名的不同的发射电流的响应，由于纳米结构的振荡，证明其在射频的解调过程中的作用。
英文摘要：
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.
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