Electronic Structure of Ribbons

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    Electronic Structure
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Discussion Overview

The discussion focuses on calculating the band structure of two-dimensional ribbons, specifically graphene and silicene nanoribbons, using the tight binding method. Participants seek references and methodologies for this calculation, exploring both theoretical and practical aspects.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant expresses a need for references to learn how to calculate the band structure of 2D ribbons using the tight binding method.
  • Another participant suggests that when calculating the band structure of graphene, one must consider the width of the nanoribbon and the type of edges (armchair or zigzag) and mentions the potential ease of using DFT code.
  • A later reply reiterates the importance of defining the width and edge type for the nanoribbon and emphasizes the search for a comprehensive tutorial on analytical methods for obtaining electronic structures.
  • One participant provides a link to a document that may serve as a resource.

Areas of Agreement / Disagreement

Participants generally agree on the importance of defining the nanoribbon's characteristics for band structure calculations, but there are no settled conclusions on the best methods or resources to use.

Contextual Notes

The discussion does not resolve the effectiveness of the tight binding method versus DFT or the completeness of the provided reference. Assumptions about the applicability of the methods discussed remain unexamined.

Who May Find This Useful

Researchers and students interested in condensed matter physics, materials science, and computational methods for electronic structure calculations may find this discussion relevant.

hokhani
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I know how to calculate band structure of two dimensionaI sheets by tight binding. I am looking for a reference to learn thoroughly how to calculate band structure of 2d-ribbons (Graphene nanoribbon, Silicene nanoribbon,...) using tight binding method. Could anyone please help me?
 
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When calculating the band structure of graphene you assume it's infinite in extent through the Bloch Theorem. Decide how wide you want the nanoribbon to be and whether you want armchair or zigzag edges. It may be easier to work out some DFT code.
 
azdmr said:
When calculating the band structure of graphene you assume it's infinite in extent through the Bloch Theorem. Decide how wide you want the nanoribbon to be and whether you want armchair or zigzag edges. It may be easier to work out some DFT code.
Yes. Of course. I am looking a very comprehensive tutorial for obtaining electronic structures using full analytical methods.
 

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