Graphene How it contradicts 2D models and how can it remain stable.

AI Thread Summary
Graphene's stability challenges the established theory that 2D materials cannot exist independently. The discussion highlights the relevance of the Wagner-Mermin theorem, which states that while 2D materials may lack long-range order, they can still be stable. Fluctuations in graphene lead to a loss of periodicity over long distances, but this does not significantly affect its electronic properties, which rely more on local structure. The conversation invites recommendations for literature and further discussion on the topic. Overall, the stability of graphene remains a complex area of study that contradicts traditional 2D material theories.
phjw
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Hi guys,

I am currently writing my dissertation on Graphene and I am investigateing how graphene remains stable, contradicting existing well established theory which states 2D materials cannot exist independently.
With the main area of investigation looking at possible lattice distortions which potentially stabilise the 2D structure whilst keeping the relativistic spectrum.

If anyone has come across any useful books, journals or reports that they think would be useful please could you send me a link/title.

Or If you have a good understanding of this area and would be willing to discuss some ideas or theory's that would be fantastic.

Looking forward to hearing from you Ozzie.
 
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phjw said:
Hi guys,

I am currently writing my dissertation on Graphene and I am investigateing how graphene remains stable, contradicting existing well established theory which states 2D materials cannot exist independently.

Do you mean the Wagner Mermin theorem? Maybe you should read their articel first: It does not say that 2d materials are not stable but that they cannot have long range order. Apparently Graphene does not contradict this theorem as fluctuations in deed lead to a loss of periodicity over long distances. However, this has little influence on the electronic spectrum as this depends more on the local structure.
 
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