# Hidden correlation between absorption peaks in achiral carbon nanotubes and nanoribbons

## TL;DR

This study reveals a hidden correlation between absorption peaks in achiral carbon nanotubes and nanoribbons, which can inform the design of integrated graphene-based optoelectronic devices.

## Contribution

It demonstrates a specific absorption peak correlation in achiral nanotubes and nanoribbons based on their geometric relationship, using a tight-binding model.

## Key findings

- Correlation occurs when ribbon width is half the tube circumference
- Effect appears in all achiral ribbons and tubes from 30 nm length
- Potential application in designing integrated optoelectronic devices

## Abstract

In this paper we study the effect of absorption peak correlation in finite length carbon nanotubes and graphene nanoribbons. It is shown, in the orthogonal {\pi}-orbital tight-binding model with the nearest neighbor approximation, that if the ribbon width is a half of the tube circumference the effect takes place for all achiral ribbons (zigzag, armchair and bearded), and corresponding tubes, starting from lengths of about 30 nm. This correlation should be useful in designing nanoribbon-based optoelectronics devices fully integrated into a single layer of graphene.

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Source: https://tomesphere.com/paper/1803.08596