Shot Noise in Fabry-Perot Interferometers Based on Carbon Nanotubes

Herrmann, Lorenz; Delattre, Thomas; Morfin, Pascal; Berroir, Jean-Marc; Plaçais, Bernard; Glattli, Christian; Kontos, Takis

doi:10.1103/physrevlett.99.156804

Cited by 70 publications

(41 citation statements)

References 25 publications

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“…The temperature and voltage can be higher if the tube is shorter, as it is the case, for example, in Ref. 39, where L Ϸ 15 meV, and the linear regime occurs for V on the order of mV. In the frequency dependence of the noise the Josephson frequency would appear at frequencies on the order of THz.…”

Section: Experimental Relevancementioning

confidence: 90%

“…1 Moreover, they have recently been performed also for nanotubes. 19, 39 We calculate the zero-frequency noise perturbatively, up to order 2 , and we find…”

Section: B Zero-frequency Noisementioning

confidence: 99%

“…VI B was appropriate for a quantum wire with a single channel of conduction. However, realistic one-dimensional conductors such as carbon nanotubes for which measurements of the zero-frequency current-current fluctuations are now available 19,39 have more channels of conduction. For example, a carbon nanotube has four channels of conduction, out of which one with an effective interaction parameter g Ϸ 0.25e.…”

Section: Nonsymmetrized Noise In a Nanotubementioning

confidence: 99%

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ac conductance and nonsymmetrized noise at finite frequency in quantum wires and carbon nanotubes

2008

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We calculate the ac conductance and the finite-frequency nonsymmetrized noise in interacting quantum wires and single-wall carbon nanotubes in the presence of an impurity. We observe a strong asymmetry in the frequency spectrum of the nonsymmetrized excess noise, even in the presence of the metallic leads. We find that this asymmetry is proportional to the differential excess ac conductance of the system, defined as the difference between the ac differential conductances at finite and zero voltage, and thus disappears for a linear system. In the quantum regime, for temperatures much smaller than the frequency and the applied voltage, we find that the emission noise is exactly equal to the impurity partition noise. For the case of a weak impurity we expand our results for the ac conductance and the noise perturbatively. In particular, if the impurity is located in the middle of the wire or at one of the contacts, our calculations show that the noise exhibits oscillations with respect to frequency, whose period is directly related to the value of the interaction parameter g.

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Section: Experimental Relevancementioning

confidence: 90%

“…1 Moreover, they have recently been performed also for nanotubes. 19, 39 We calculate the zero-frequency noise perturbatively, up to order 2 , and we find…”

Section: B Zero-frequency Noisementioning

confidence: 99%

Section: Nonsymmetrized Noise In a Nanotubementioning

confidence: 99%

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ac conductance and nonsymmetrized noise at finite frequency in quantum wires and carbon nanotubes

2008

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“…In general, the noise properties of carbon nanotubes are affected by the existence of a possible orbital degeneracy, which arises from the band structure of graphene, as recently shown in the non-interacting limit 16 . Therefore, a first step towards the understanding of the measurements presented in figure 2 is to use a resonant tunneling model with two spin degenerate channels, with transmission respectively.…”

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confidence: 99%

Noisy Kondo impurities

et al. 2009

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The anti-ferromagnetic coupling of a magnetic impurity carrying a spin with the conduction electrons spins of a host metal is the basic mechanism responsible for the increase of the resistance of an alloy such as Cu${}_{0.998}$Fe${}_{0.002}$ at low temperature, as originally suggested by Kondo . This coupling has emerged as a very generic property of localized electronic states coupled to a continuum . The possibility to design artificial controllable magnetic impurities in nanoscopic conductors has opened a path to study this many body phenomenon in unusual situations as compared to the initial one and, in particular, in out of equilibrium situations. So far, measurements have focused on the average current. Here, we report on \textit{current fluctuations} (noise) measurements in artificial Kondo impurities made in carbon nanotube devices. We find a striking enhancement of the current noise within the Kondo resonance, in contradiction with simple non-interacting theories. Our findings provide a test bench for one of the most important many-body theories of condensed matter in out of equilibrium situations and shed light on the noise properties of highly conductive molecular devices.Comment: minor differences with published versio

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“…Another aspect is the appearance of a special region showing phase jumps in the energy dependence of the integrands when Ω ≤ 2eV . This interplay of the Dirac spectrum and the Fabry-Pérot physics 76,77 can be probed purely by applying an appropriate combination of dc-bias and offset voltage V 0 = V /2, thus connecting electronand hole part of the Dirac spectrum symmetrically when eV = 2 Ω. The way the scattering amplitudes are combined in this approach spoils the clear picture in terms of transmission-and reflection probabilities.…”

Section: Discussionmentioning

confidence: 99%

Scattering approach to frequency-dependent current noise in Fabry-Pérot graphene devices

Hammer

Belzig

2013

Phys. Rev. B

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We study finite-frequency quantum noise and photon-assisted electron transport through a wide and ballistic graphene sheet sandwiched between two metallic leads. The elementary excitations allow as to examine the differences between effects related to Fabry-Pérot like interferences and signatures caused by correlations of coherently scattered particles in electron-and hole-like parts of the Dirac spectrum. We identify different features in the current-current auto-and cross-correlation spectra and trace them back to the interference patterns of the product of transmission-and reflection amplitudes which define the integrands of the involved correlators. At positive frequencies the correlator of the auto-terminal noise spectrum with final-and initial state associated to the measurement terminal is dominant. Phase jumps occur within the interference patterns of corresponding integrands, which also reveal the intrinsic energy scale of the two-terminal graphene setup. The excess noise spectra, as well as the cross-correlation ones, show large fluctuations between positive and negative values. Oscillatory signatures of the cross-correlation noise are due to an alternating behavior of the integrands.

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Shot Noise in Fabry-Perot Interferometers Based on Carbon Nanotubes

Cited by 70 publications

References 25 publications

ac conductance and nonsymmetrized noise at finite frequency in quantum wires and carbon nanotubes

ac conductance and nonsymmetrized noise at finite frequency in quantum wires and carbon nanotubes

Noisy Kondo impurities

Scattering approach to frequency-dependent current noise in Fabry-Pérot graphene devices

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