Effects of decoherence on the shot noise in carbon nanotubes
arXiv:0906.0894 · doi:10.1103/PhysRevB.81.033404
Abstract
We study the zero frequency noise in an interacting quantum wire connected to leads, in the presence of an impurity. In the absence of quasiparticle decoherence the zero-frequency noise is that of a non-interacting wire. However, if the collective, fractionally-charged modes have a finite lifetime, we find that the zero-frequency noise may still exhibit signatures of charge fractionalization, such as a small but detectable reduction of the ratio between the noise and the backscattered current (Fano factor). We argue that this small reduction of the Fano factor is consistent with recent observations of a large reduction in the experimentally-inferred Fano factor in nanotubes (calculated assuming that the backscattered current is the difference between the ideal current in a multiple-channel non-interacting wire and the measured current.
6 pages, 1 figure
References in corpus (13)
- Universal theory of nonlinear Luttinger liquids
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Tomonaga-Luttinger Liquid Features in Ballistic Single-Walled Carbon Nanotubes: Conductance and Shot Noise
- Shot Noise with Interaction Effects in Single Walled Carbon Nanotubes
- Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
- Shot noise in carbon nanotube based Fabry-Perot interferometers
- Oscillatory non-linear conductance of an interacting quantum wire with an impurity
- AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
- Tomonaga-Luttinger liquid correlations and Fabry-Perot interference in conductance and finite-frequency shot noise in a single-walled carbon nanotube
- Bosonization approach to charge and spin dynamics of 1D fermions with band-curvature
- Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads
- Effect of interactions on the noise of chiral Luttinger liquid systems