A question about band structure silicene by tight binding

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Discussion Overview

The discussion revolves around the challenges of plotting the band structure of silicene, particularly along the path K→Γ→M→K. Participants express difficulties in both the plotting process and the underlying calculations necessary to derive the band structure.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • Some participants assert that the electronic properties of silicene are similar to those of graphene, but they struggle with the specifics of plotting the band structure.
  • One participant questions whether others have the analytical form of the band structure or if they are merely seeking help with software for plotting, indicating a need for clarity in the request for assistance.
  • Another participant mentions the complexity of calculating the Hamiltonian matrix, which is 8x8, and expresses difficulty in using the Slater-Koster method to find the necessary overlap between orbitals, specifically noting the challenge of determining cosine directions.
  • There is a distinction made between the process of plotting and the calculations required to obtain the band structure, suggesting that further clarification is needed in the discussion.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the specific challenges faced in plotting the band structure or the calculations involved. Multiple viewpoints regarding the nature of the problem remain present.

Contextual Notes

The discussion highlights limitations in the clarity of the initial requests for help, as well as the complexity of the calculations involved in deriving the band structure, which may depend on specific definitions and methods.

anahita
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Dear forum people,
I know that electronic properties silicene is the same graphene but i can not figure out how can I plot band strcture silicene. I want to plot that in the following path: K→Γ→M→K
 
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anahita said:
Dear forum people,
I know that electronic properties silicene is the same graphene but i can not figure out how can I plot band strcture silicene. I want to plot that in the following path: K→Γ→M→K

You keep talking about PLOTTING the band structure. Do you actually have the analytical form of the band structure and just don't know how to use a software package to plot it? Or what exactly about the "plotting" part that you need help with here?

Without such explanation, this is pretty vague!

Zz.
 
ZapperZ said:
You keep talking about PLOTTING the band structure. Do you actually have the analytical form of the band structure and just don't know how to use a software package to plot it? Or what exactly about the "plotting" part that you need help with here?

Without such explanation, this is pretty vague!

Zz.
Hamiltonian metrix is 8*8. i can not properly calculate elements of the matrix using slater-koster methods. for example overlap between orbitals s and pz is n*v(spσ) but i can't find cosine directions n,l,m.
 
anahita said:
Hamiltonian metrix is 8*8. i can not properly calculate elements of the matrix using slater-koster methods. for example overlap between orbitals s and pz is n*v(spσ) but i can't find cosine directions n,l,m.

Ok, this has a bit more information. This is not "plotting". This is the actual calculation to GET the band structure. There's a difference.

Someone who is more up to speed on the silicene band structure calculation may be able to help you.

Zz.
 

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