paper

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

arXiv:cond-mat/9902159 · doi:10.1103/PhysRevB.61.4429

Abstract

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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