Band Structure of Carbon Nanotubes. Discovery First observed by Iijima (1991) Multiwalled.

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Reference Bernhard Stojetz et al. Phys.Rev.Lett. 94, (2005)

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Presentation transcript:

Band Structure of Carbon Nanotubes

Discovery First observed by Iijima (1991) Multiwalled

Arc-discharge evaporation

Laser ablation

Chemical vapour deposition

Armchair tube

Zigzag tube

Chiral tubes

Graphite Bravais lattice Reciprocal space Dispersion relation Equi-energy regions 1947 P.R. Wallace Tight-binding, nearest neighbour

[5,5] Armchair tube Bravais lattice Reciprocal lattice Periodic boundary conditions: Dispersion relation:

[9,0] Zigzag tube Bravais lattice Reciprocal lattice Periodic boundary conditions: Dispersion relation:

[10,0] Zigzag tube Reciprocal lattice Metallic zigzag tubes satisfy:

Are they real metals? Zigzag tubeArmchair tube Stable against Peierls distortion Armchair tube conduct ballistically >10  m

Ballistic transport

Applications Nano electronics (FET ’ s) Spintronics AFM tips Composite materials