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Theory of STM Imaging of Fullerene Peapods C.L. Kane and E.J. Mele D. Hornbaker, A. Yazdani,

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.

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Theory of STM Imaging of Fullerene Peapods C.L. Kane and E.J. Mele D. Hornbaker, A. Yazdani,

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  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 C60 orbitals • “Strongest” mixing in t1u channel • Coupling sensitive to tube chirality and ball setting

  2. H = Htube+Hball+Hmixing crystal momentum: qx m* = m - int ((M-N)/3) L=5  hu + t1u + … L=6  t1g + …

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

  4. Table: m distributions for hu, t1u, t1g orbitals (quantized about a fivefold symmetry axis) L=5 “pseudotensor” L=5 “vector” L=6 “pseudovector”

  5. Electrons hop from the tube to the a-th ball orbital Eliminating the buckyball degrees of freedom using… ..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 t1u in “third subband” • doublet features  impurity band • phase reversal of density modulations  hybridization gap

  10. More Questions Why are only the t1u levels active? (Coupling through hu and t1g 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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