Electron Transport in Carbon NanotubesNanotubes: BasicsElectronic Properties: TheoryScanning Tunneling Microscopy (STM)Nanotube Contacts: Bulk and End ConnectedCoulomb blockadeCoulomb Blockade Only?Luttinger Liquid Behavior?Even More Exotic PhysicsFano ResonancesFrequency Dependant StudiesFrequency Dependant Studies cont.Many Areas of Current and Continued StudyElectron Transport in Carbon NanotubesShaun ArdPhysics 672Nanotubes: BasicsComposed of “rolled up” graphene sheetsSingly and Multi-walled varietiesFully characterized by the chiral vector–Ch = n â1 + m â2Kohlenstoffnanoroehre AnimationCopyright Alain Rochefort A. Maiti, Caron Nanotubes: Band gap engineering with strain, Nature Materials 2 (2003) 440Electronic Properties: TheoryV. Popov, Carbon nanotubes: properties and applications, Materials Science and Engineering R 43 (2004) 61-102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)Scanning Tunneling Microscopy (STM)T.W. Odomet al, Atomic Structure and Electronic Properties of Single-Walled Nanotubes, Nature (London) 391 (1998) 62 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.Nanotube Contacts: Bulk and End ConnectedCoulomb 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) 1922Coulomb 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) 598Luttinger 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) 598Even More Exotic PhysicsB. Babic and C. Schönenberger, Observation of Fano resonances in single-wall carbon nanotubes, Phys. Rev. B 70 (2004) 195408Fano ResonancesB. Babic and C. Schönenberger, Observation of Fano resonances in single-wall carbon nanotubes, Phys. Rev. B 70 (2004) 195408Frequency Dependant StudiesFrequency 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),