1. Electron Transport in Carbon Nanotubes
Shaun Ard
Physics 672

2. Nanotubes: Basics Composed of “rolled up” graphene sheets
Singly and Multi-walled varieties
Fully characterized by the chiral vector
Ch = n â1 + m â2
Kohlenstoffnanoroehre Animation
Copyright Alain Rochefort
A. Maiti, Caron Nanotubes: Band gap engineering with strain, Nature Materials 2 (2003) 440

3. Electronic Properties: Theory
1-D band structure calculated from 2-D graphene band structure using “zone folding” scheme
Ekμ= E2D(k*K2/|K2|+μK1)
K1=(-t2b1+ t1b2)/ N
K2=(mb1- nb2)/ N
(5,5)
(9,0)
(10,0)
V. Popov, Carbon nanotubes: properties and applications, Materials Science and Engineering R 43 (2004)

4. Scanning Tunneling Microscopy (STM)
Scanning Tunneling Microscopy (STM) capable to probe both structure and electronic density of states simultaneously.
Evidence of both semi-conducting and metallic behavior based on (n,m) index.
T.W. Odomet al, Atomic Structure and Electronic Properties of Single-Walled Nanotubes, Nature (London) 391 (1998) 62

5. Nanotube Contacts: Bulk and End Connected

6. Coulomb blockade
M. Bockrath, D. Cobden, P. McEuen, N. Chopra, A. Zettl, A. Thess, R. E. Smalley, Single-Electron Transport in Ropes of Carbon Nanotubes , Science 275 (1997) 1922

7. Coulomb Blockade Only?
M. Bockrath, D. Cobden, Jia Lu, A. Rinzler, R. Smalley, L. Balents, P. McEuen, Luttinger-liquid behaviour in carbon nanotubes, Nature 397 (1999) 598

8. Luttinger Liquid Behavior?
M. Bockrath, D. Cobden, Jia Lu, A. Rinzler, R. Smalley, L. Balents, P. McEuen, Luttinger-liquid behaviour in carbon nanotubes, Nature 397 (1999) 598

9. Even More Exotic Physics
B. Babic and C. Schönenberger, Observation of Fano resonances in single-wall carbon nanotubes, Phys. Rev. B 70 (2004)

10. Fano Resonances
B. Babic and C. Schönenberger, Observation of Fano resonances in single-wall carbon nanotubes, Phys. Rev. B 70 (2004)

11. Frequency Dependant Studies

12. Frequency Dependant Studies cont.

13. Many Areas of Current and Continued Study
Composite structures
S. Shi et al., Electronic transport properties of multiwall carbon nanotubes/yttria-stabilized zirconia composites, J. Appl. Phys. 101, (2007)  
Crossed junctions
J. Park et al., Electrical transport through crossed carbon nanotube junctions, J. Appl. Phys. 93, (2003) 4191
Aharonov–Bohm effect
A. Bachtold et al., Aharonov–Bohm oscillations in carbon nanotubes, Nature 397 (1999), 673