Van Hove Singularities in disordered multichannel quantum wires and nanotubes

Details Van Hove Singularities in disordered multichannel quantum wires and nanotubes Van Hove Singularities in disordered multichannel quantum wires and nanotubes

2001-12-11

arxiv.org/abs/cond-mat/0112189v2

Phys. Rev. B 66, 193311 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, accepted with revisions in PRB

Scientific paper

10.1103/PhysRevB.66.193311

We present a theory for the van Hove singularity (VHS) in the tunneling density of states (TDOS) of disordered multichannel quantum wires, in particular multi-wall carbon nanotubes. We assume close-by gates which screen off electron-electron interactions. Diagrammatic perturbation theory within a non-crossing approximation yields analytical expressions governing the disorder-induced broadening and shift of VHS's as new subbands are opened. This problem is nontrivial because the (lowest-order) Born approximation breaks down close to the VHS. Interestingly, compared to the bulk case, the boundary TDOS shows drastically altered VHS, even in the clean limit.

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