Electron Transport in Carbon Nanotubes

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Presentation transcript:

Electron Transport in Carbon Nanotubes Shaun Ard Physics 672

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

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) 61-102

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

Nanotube Contacts: Bulk and End Connected

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

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

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

Even More Exotic Physics B. Babic and C. Schönenberger, Observation of Fano resonances in single-wall carbon nanotubes, Phys. Rev. B 70 (2004) 195408

Fano Resonances B. Babic and C. Schönenberger, Observation of Fano resonances in single-wall carbon nanotubes, Phys. Rev. B 70 (2004) 195408

Frequency Dependant Studies

Frequency Dependant Studies cont.

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) 023708 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