---
title: "High-frequency electrical circuit model for integrated capacitors utilizing lossy nanostructures"
canonical_url: "https://www.smoltek.com/high-frequency-electrical-circuit-model-for-integrated-capacitors-utilizing-lossy-nanostructures/840/"
date: 2021-08-10
author: "Thomas Barregren"
featured_image: "https://www.smoltek.com/wp-content/uploads/2021/12/3870974-jpg.webp"
categories:
  - name: "Research"
    url: "https://www.smoltek.com/category/research.md"
---

# High-frequency electrical circuit model for integrated capacitors utilizing lossy nanostructures

A physics-based mod­el is pre­sent­ed that cap­tures the elec­tri­cal high-fre­quen­cy behav­ior of low-dimen­sion­al nanos­truc­tures used in emerg­ing tech­nolo­gies such as the ultra-high-den­si­ty capac­i­tor. Derived from trans­mis­sion line the­o­ry the ana­lyt­i­cal expres­sion pro­vides a fre­quen­cy-depen­dent admit­tance of a lossy nanos­truc­ture, which can be numer­i­cal­ly inte­grat­ed over arbi­trary areas com­pris­ing the nanos­truc­ture. Edge effects, a dis­trib­uted nature of resis­tiv­i­ty or dimen­sions of the nanos­truc­ture com­pris­ing the device can be tak­en into con­sid­er­a­tion and make it a pow­er­ful tool for design­ing future inte­grat­ed cir­cuits. The mod­el pre­dic­tions show an excel­lent match with hard­ware mea­sure­ments up to 3 GHz on state-of-the-art car­bon nanofiber based MIM-capac­i­tors with capac­i­tance den­si­ties up to 500 nF/​mm2 at 6 μm device height.

[Read more](https://ieeexplore.ieee.org/document/9501815)