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Theory of STM Imaging of Fullerene Peapods C.L. Kane and E.J. Mele D. Hornbaker, A. Yazdani, A.T. Johnson, D.E. Luzzi Tube states hybridize with C 60 orbitals.

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Presentation on theme: "Theory of STM Imaging of Fullerene Peapods C.L. Kane and E.J. Mele D. Hornbaker, A. Yazdani, A.T. Johnson, D.E. Luzzi Tube states hybridize with C 60 orbitals."— Presentation transcript:

1 Theory of STM Imaging of Fullerene Peapods C.L. Kane and E.J. Mele D. Hornbaker, A. Yazdani, A.T. Johnson, D.E. Luzzi Tube states hybridize with C 60 orbitals “Strongest” mixing in t 1u channel Coupling sensitive to tube chirality and ball setting

2 H = H tube + H ball + H mixing crystal momentum: q x m* = m - int ((M-N)/3) L=5  h u + t 1u + … L=6  t 1g + …

3 Tube states are indexed by m* = m - int[(M-N)/3]

4 Table: m distributions for h u, t 1u, t 1g orbitals (quantized about a fivefold symmetry axis) L=5 “pseudotensor” L=5 “vector” L=6 “pseudovector”

5 Eliminating the buckyball degrees of freedom using… Electrons hop from the tube to the  -th ball orbital..gives the effective Hamiltonian as seen from the tube

6 Spectrum for an Isolated Scatterer Bound state on tube wall Backscattering resonances

7 Spectrum for an Isolated Dimer Bound states split (bonding-antibonding) Fabry-Perot resonances in continuum

8 Hybridized Bands of a Peapod Lattice Tube states hybridize with C_60 orbitals Hybridization gap Bragg gap

9 Spatially Resolved Differential Conductance peapod-induced features at positive bias coupling of t 1u in “third subband” doublet features  impurity band phase reversal of density modulations  hybridization gap

10 More Questions Why are only the t 1u levels active? (Coupling through h u and t 1g is allowed for other nanotubes.) What is the role of orientational disorder? (Different azimuthal settings with five fold axes along tube) Charging effects in measured conductance spectra.


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