Features of renormalization induced by interaction in one-dimensional transport

Ponomarenko, V. V.; Nagaosa, Naoto

doi:10.1103/physrevb.60.16865

Cited by 33 publications

(48 citation statements)

References 25 publications

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“…Theoretical predictions for the non chiral LL are quite controversial. Although the initial prediction eq.1 [7] was obtained for a non chiral infinite LL, it has been recently claimed [9,10] that the shot noise in a LL between two reservoirs does not reveal the quasi-particle non integer charge and the authors in [10] predict instead an integer charge of 1e, in the expression of shot noise. These calculations however rely on drastic hypothesis concerning screening of electron interactions and boundary conditions with the reservoirs which validity can be questioned [11].…”

Section: Introductionmentioning

confidence: 99%

Very low shot noise in carbon nanotubes

et al. 2002

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Abstract. We have performed noise measurements on suspended ropes of single wall carbon nanotubes (SWNT) between 1 and 300 K for different values of dc current through the ropes. We find that the shot noise is suppressed by more than a factor 100 compared to the full shot noise 2eI. We have also measured an individual SWNT and found a level of noise which is smaller than the minimum expected. Another finding is the very low level of 1/f noise, which is significantly lower than previous observations. We propose two possible interpretations for this strong shot noise reduction: i) Transport within a rope takes place through a few nearly ballistic tubes within a rope and possibly involves non integer effective charges with e * ∼ 0.3e. ii) A substantial fraction of the tubes conduct with a strong reduction of effective charge (by more than a factor 50).PACS. 72.70.+m Electronic transport in condensed matter: Noise processes and phenomena:Electronic transport in mesoscopic or nanoscale materials and structures -73.50.Td Electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures:Noise processes and phenomena

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Section: Introductionmentioning

confidence: 99%

Very low shot noise in carbon nanotubes

et al. 2002

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“…Interactions in the Fractional Quantum Hall regime (FQHE) [21] have been shown to strongly reduce F . However, for the case of a single mode quantum wire, a similar renormalization as in the FQHE would imply that the leads are not fermionic [22,23]. Another possibility would be weak decoherence, possibly induced by the MWNT.…”

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confidence: 99%

Shot Noise in Fabry-Perot Interferometers Based on Carbon Nanotubes

et al. 2007

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We report on shot noise measurements in carbon nanotube based Fabry-Perot electronic interferometers. As a consequence of quantum interferences, the noise power spectral density oscillates as a function of the voltage applied to the gate electrode. The quantum shot noise theory accounts for the data quantitatively. It allows to confirm the existence of two nearly degenerate orbitals. At resonance, the transmission of the nanotube approaches unity, and the nanotube becomes noiseless, as observed in quantum point contacts. In this weak backscattering regime, the dependence of the noise on the backscattering current is found weaker than expected, pointing either to electron-electron interactions or to weak decoherence.

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“…One can see directly that the expansion of the system propagator in the number of instanton tunneling events can be generated as the expansion in the instanton tunneling Lagrangian composed of the tunneling operators (20). This means that the dual model of quasiparticle tunneling can be formulated in complete analogy to the direct model of electron tunneling.…”

Section: B Dual Chiral Fields and Klein Factorsmentioning

confidence: 99%

Strong-coupling branching between edges of fractional quantum Hall liquids

Ponomarenko

Averin

2004

Phys. Rev. B

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We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors νj and one common single-mode edge ν0 of another FQHL. In the strongtunneling limit, the model of quasiparticle backscattering is obtained by the duality transformation of the electron tunneling model. The new physics introduced by the multi-point-contact geometry of the system is coherent splitting of backscattered quasiparticles at the point contacts in the course of propagation along the common edge ν0. The "branching ratios" characterizing the splitting determine the charge and exchange statistics of the edge quasiparticles that can be different from those of Laughlin's quasiparticles in the bulk of FQHLs. Accounting for the edge statistics is essential for the system of more than one point contact and requires the proper description of the flux attachement to tunneling electrons.

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Features of renormalization induced by interaction in one-dimensional transport

Cited by 33 publications

References 25 publications

Very low shot noise in carbon nanotubes

Very low shot noise in carbon nanotubes

Shot Noise in Fabry-Perot Interferometers Based on Carbon Nanotubes

Strong-coupling branching between edges of fractional quantum Hall liquids

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