Transfer matrix approach in graphene.

In summary: Ultimately, if you are struggling to understand the differences between the two expressions, it would be best to seek guidance from someone with expertise in this area. In summary, the transfer matrix is a powerful tool for understanding the evolution of a system, but it is important to carefully consider the methodology and assumptions used in different papers to fully understand the differences between their expressions.
  • #1
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Who can explain the following questions about transfer matrix?

formula (31) in New Journal of Physics, Vol.12 123020.
[http://iopscience.iop.org/1367-2630/12/12/123020/pdf/1367-2630_12_12_123020.pdf]
is different from the result of another
paper in Journal of Physics:Condensed matter (Vol.21, 045305 (2009))[http://iopscience.iop.org/0953-8984/21/4/045305/pdf/0953-8984_21_4_045305.pdf].
The expression for transfer matrix is different from each other, even if for a single trench.

Who can give me a hint or instruction?
 
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  • #2
The transfer matrix is a mathematical tool that is used to track the evolution of a system over time. It is used to calculate the effect of a given input on the output of a system. The two papers you mentioned use different expressions for the transfer matrix, but the underlying idea is the same: the transfer matrix can be used to calculate the effect of changes in the system's inputs (in this case, the trenches) on its output. In order to understand the differences between the two transfer matrix expressions, it would be necessary to look at the details of how each paper has derived the expression from the underlying physics. This would involve studying the methodology and assumptions used by each paper, and how they differ. It would also involve understanding the physical context in which each paper was written, as this could affect how the transfer matrix is derived.
 

1. What is the transfer matrix approach in graphene?

The transfer matrix approach is a calculation method used to analyze the electronic properties of graphene. It involves breaking down the graphene structure into smaller layers and calculating the transmission of electrons through each layer. This approach can provide valuable insights into the behavior of electrons in graphene, such as the energy bands and electronic transport properties.

2. How does the transfer matrix approach differ from other methods used in graphene research?

Compared to other methods, such as density functional theory or tight-binding models, the transfer matrix approach is more computationally efficient and can be used to analyze larger graphene structures. It also takes into account the effect of electron interference and allows for the study of electronic transport properties in graphene.

3. What are the limitations of the transfer matrix approach in graphene research?

One limitation of the transfer matrix approach is that it assumes the graphene structure is perfectly periodic, which may not be the case in real-world applications. It also does not take into account the effects of electron-electron interactions, which can play a significant role in the behavior of electrons in graphene.

4. How is the transfer matrix approach applied in practical applications of graphene?

The transfer matrix approach is often used in conjunction with other methods to study the electronic properties of graphene in various applications, such as in transistors, sensors, and energy storage devices. It can provide valuable insights into the behavior and performance of these devices and aid in the development of new graphene-based technologies.

5. Can the transfer matrix approach be used to study other 2D materials besides graphene?

Yes, the transfer matrix approach can be applied to other 2D materials, such as transition metal dichalcogenides and boron nitride. However, the specific calculations and parameters may need to be adjusted for each material, as they have different electronic properties and structures than graphene.

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