What is the Density of States (DOS) for Metallic Carbon Nanotubes?

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SUMMARY

The discussion centers on the Density of States (DOS) for metallic carbon nanotubes (CNTs). It highlights the discrepancy between the DOS of 1-D structures and that of metallic CNTs, particularly at the Fermi energy level (E=0). Participants emphasize that metallic CNTs exhibit a nonzero DOS at E=0, contradicting the conventional equations for 1-D structures. The conversation seeks a specific equation or reference to accurately describe the DOS for metallic CNTs.

PREREQUISITES
  • Understanding of Density of States (DOS) in solid-state physics
  • Familiarity with carbon nanotube (CNT) structures and properties
  • Knowledge of Fermi energy concepts
  • Basic grasp of 1-D material physics
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  • Research the specific equations for the DOS of metallic carbon nanotubes
  • Explore the relationship between Fermi energy and DOS in various materials
  • Investigate advanced solid-state physics texts for detailed discussions on DOS
  • Examine experimental methods for measuring DOS in carbon nanotubes
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Researchers, physicists, and materials scientists interested in the electronic properties of carbon nanotubes and their applications in nanotechnology.

carbon9
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Hi all,

Sorry for starting a new thread that is similar to another previous one but the question I'll ask is different in fact.

Please consider the DOS of a metallic CNT given in this thread: https://www.physicsforums.com/showthread.php?t=351722

On the other hand, the DOS of 1-D structures are given as

http://img5.imageshack.us/img5/5562/adszvkj.jpg

However, it seems not possible to achieve a nonzero DOS at E=0 with this equation (the DOS of metallic CNTs are nonzero at E=0). So, I conclude that the DOS of metallic CNTs are different than this equation. Could you please give an equation for the DOS of metallic CNTs or a reference showing it?

Thank you in advance,
carbon9
 
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Carbon9

E=0 is a reference. The fermi energy could be set to anything. A more correct statement would be that
a metallic CNT must have density of states at its fermi energy.So I'd say, your conclusion may not be true.

Try to find how the author above thinks about the Fermi energy when he writes that DOS.
 
Thank you Sokrates. I'll look deeper and post here if I can get it.

Regards,
carbon9
 

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