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Numerical study of transport properties of carbon nanotubes. Dhanashree Godbole Brian Thomas Summer Materials Research Training Oakland University 2006. Overview. CNT: The material of the future Structure of Graphene and CNT’s Carbon nanotubes: bands and DOS
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Numerical study of transport properties of carbon nanotubes • Dhanashree Godbole • Brian Thomas • Summer Materials Research Training • Oakland University 2006
Overview • CNT: The material of the future • Structure of Graphene and CNT’s • Carbon nanotubes: bands and DOS • Infinite CNT’s to quantum dots • Quantum dots: what and why • Numerical results: • Coulomb Blockade • Kondo effect
Why Carbon nanotubes? • Amazing electronic and physical properties • Space and mass saving • Strength and durability
The Graphene Layer • The graphene sheet and its band structure (n,m)
DOS An Infinite CNT to finite CNT
Finite CNT to Quantum Dot • Artificial atoms • Transfer of a single electron charge
Coulomb Blockade • Increased resistance No conduction Conduction
Kondo Effect • Low-temp. increase in resistance • Kondo resonance creates existence of anew state
Numerical Results: One Level QD • One available state for the electron
CNT as a Quantum dot • Carbon nanotubes have two available states for electrons to propagate in
CNT as Quantum dot • B field kills Kondo effect…why?
Experimental Results Delft University - Netherlands Prof. Leo Kouwenhoven group
Conclusion • What we learned • Basics of quantum mechanics and its applications in condensed matter physics • First time using computer code and programming with FORTRAN • Energy dispersion relations and their use in research of CNTs • Quantum Dots and the use of CNTs as QDs • Modeling and using numerical operations to represent real systems.