Decay of a plasmon into neutral modes in a carbon nanotube

Details Decay of a plasmon into neutral modes in a carbon nanotube Decay of a plasmon into neutral modes in a carbon nanotube

2010-06-10

arxiv.org/abs/1006.2150v1

Phys. Rev. B, vol 82, 115444 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 4 figures

Scientific paper

10.1103/PhysRevB.82.115444

We evaluate the rate of energy loss of a plasmon in a disorder-free carbon nanotube. The plasmon decays into neutral bosonic excitations of the electron liquid. The process is mediated either by phonon-assisted backscattering of a single electron, or Umklapp backscattering of two electrons. To lowest order in the backscattering interactions the partial decay rates are additive. At zero doping the corresponding decay rates scale as power-laws of the temperature with positive and negative exponents for the two mechanisms, respectively. The precise values of the exponents depend on the Luttinger liquid parameter. At finite doping the decay rates are described by universal crossover functions of frequency and chemical potential measured in units of temperature. In the evaluation of the plasmon decay, we concentrate on a finite-length geometry allowing excitation of plasma resonances.

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