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 transcript:

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

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 + …

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

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”

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

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

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

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

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

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.