TY - JOUR

T1 - Decay of a plasmon into neutral modes in a carbon nanotube

AU - Chen, Wei

AU - Andreev, A. V.

AU - Mishchenko, E. G.

AU - Glazman, L. I.

PY - 2010/9/24

Y1 - 2010/9/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77957710043&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.82.115444

DO - 10.1103/PhysRevB.82.115444

M3 - Article

AN - SCOPUS:77957710043

VL - 82

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 11

M1 - 115444

ER -