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

Click For Summary
SUMMARY

This discussion centers on the stability of graphene, which contradicts the Wagner-Mermin theorem that states 2D materials cannot possess long-range order. The conversation highlights that while graphene may exhibit fluctuations leading to a loss of periodicity, its electronic spectrum remains largely unaffected due to its local structure. Participants are encouraged to share resources and insights regarding lattice distortions that could stabilize graphene's 2D form while maintaining its relativistic properties.

PREREQUISITES
  • Understanding of the Wagner-Mermin theorem
  • Knowledge of lattice distortions in 2D materials
  • Familiarity with electronic properties of graphene
  • Basic principles of relativistic quantum mechanics
NEXT STEPS
  • Research the Wagner-Mermin theorem and its implications for 2D materials
  • Explore studies on lattice distortions in graphene
  • Investigate the electronic spectrum of graphene and its dependence on local structure
  • Review literature on stability mechanisms in 2D materials
USEFUL FOR

Researchers, graduate students, and academics focused on materials science, particularly those studying graphene and its unique properties in relation to 2D material theories.

phjw
Messages
7
Reaction score
0
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.
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
4
Views
3K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 21 ·
Replies
21
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K