``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands

Details ``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands ``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands

1999-02-11

arxiv.org/abs/cond-mat/9902159v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevB.61.4429

Band theory predicts an inverse square root van Hove singularity in the tunneling density of states at the minimum energy 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 by a power B of the energy above threshold, with B approximately 0.3 for typical carbon nanotubes. Despite the anomalous tunneling characteristic, good quasiparticles corresponding to the unoccupied subband states do exist.

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