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Phys. Rev. B 61, 4429–4432 (2000)

X-ray-edge singularities in nanotubes and quantum wires with multiple subbands

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Leon Balents*
Bell Labs, Lucent Technologies, Room 1D-368, 700 Mountain Avenue, Murray Hill, New Jersey 07974

Received 8 September 1999; published in the issue dated 15 February 2000

Band theory predicts a (ε-Δ)-1/2 van Hove singularity in the tunneling density of states at the minimum energy (Δ) of an unoccupied subband in a one-dimensional quantum wire. With interactions, an orthogonality catastrophe analogous to the x-ray edge effect for core levels in a metal strongly reduces this singularity to the form (ε-Δ)β-1/2, with β0.3 for typical carbon nanotubes. Despite the anomalous tunneling characteristic, good quasiparticles corresponding to the unoccupied subband states do exist.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.61.4429
DOI:
10.1103/PhysRevB.61.4429
PACS:
71.10.Pm, 71.20.Tx, 72.80.Rj

*Present address: Physics Department, Broida Hall, University of California, Santa Barbara, California 93106.