Electron-number statistics and shot-noise suppression by Coulomb correlation in nondegenerate ballistic transport

Bulashenko, O. M.; Matéos, J.; Pardo, D.; González, T.; Reggiani, L.; Rubı́, J. M.

doi:10.1103/physrevb.57.1366

Cited by 30 publications

(39 citation statements)

References 15 publications

(21 reference statements)

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“…The suppression may be arbitrarily strong in long (but still ballistic) samples. The results are in good agreement with previous numerical studies of shot noise in the same system by González et al [266,268] and Bulashenko et al [267]. The crossover between the ballistic and diffusive behavior of the non-degenerate Fermi gas was numerically studied by González et al [268,259].…”

Section: E Shot Noise In Non-degenerate Conductorssupporting

confidence: 81%

“…Other important developments include the generalization to the multi-terminal (Levitov and Lesovik [341]) and time-dependent (Ivanov and Levitov [348]; Levitov, Lee, and Lesovik [349]; Ivanov, Lee, and Levitov [350]) problems, and numerical investigation of the counting statistics for the non-degenerate ballistic conductors (Bulashenko et al [267]). …”

Section: B Summary For a Lazy Or Impatient Readermentioning

confidence: 99%

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Shot noise in mesoscopic conductors

2000

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Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric conductors. Shot noise is a consequence of the quantization of charge. It can be used to obtain information on a system which is not available through conductance measurements. In particular, shot noise experiments can determine the charge and statistics of the quasiparticles relevant for transport, and reveal information on the potential profile and internal energy scales of mesoscopic systems. Shot noise is generally more sensitive to the effects of electron-electron interactions than the average conductance. We present a discussion based on the conceptually transparent scattering approach and on the classical Langevin and BoltzmannLangevin methods; in addition a discussion of results which cannot be obtained by these methods is provided. We conclude the review by pointing out a number of unsolved problems and an outlook on the likely future development of the field.

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Section: E Shot Noise In Non-degenerate Conductorssupporting

confidence: 81%

Section: B Summary For a Lazy Or Impatient Readermentioning

confidence: 99%

Shot noise in mesoscopic conductors

2000

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“…By providing an exact solution of the kinetic equation coupled with a Poisson solver (PS) we are free from any approximation and thus in the position to obtain a rigorous proof of our findings. Furthermore, the role of long-range Coulomb interaction [10,11], although known since the times of vacuum diodes [12], is here considered for the relevant case of a medium in the presence of elastic and inelastic scattering for the first time.For the calculations we consider the following simple model: a lightly doped active region of a semiconductor sample of length L sandwiched between two heavily doped contacts injecting carriers into the active region.0031-9007͞98͞80(13)͞2901(4)$15.00 …”

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confidence: 99%

Universality of the 1/3 Shot-Noise Suppression Factor in Nondegenerate Diffusive Conductors

et al. 1998

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Shot-noise suppression is investigated in nondegenerate diffusive conductors by means of an ensemble Monte Carlo simulator. The universal 1͞3 suppression value is obtained when transport occurs under elastic collision regime provided the following conditions are satisfied: (i) The applied voltage is much larger than the thermal value; (ii) the length of the device is much greater than both the elastic mean free path and the Debye length. By fully suppressing carrier-number fluctuations, long-range Coulomb interaction is essential to obtain the 1͞3 value in the low-frequency limit.[ S0031-9007(98)05732-9] PACS numbers: 72.70. + m, 73.23.Ad, 73.50.Td In recent years kinetic phenomena in mesoscopic structures are offering a fascinating scenario for fundamental research [1]. One of the most up-to-date subjects is shotnoise suppression in disordered conductors. Here, the excess noise power has been predicted to comprise exactly one-third of the full shot-noise value S I 2eI. This result has been credited to different theoretical approaches as applied to several microscopic models of disordered conductors. For a phase-coherent model Beenakker and Büttiker [2] obtained the result using a bimodal distribution of transmission eigenvalues with the help of random matrix theory to calculate averages. For a semiclassical 1D model which includes Pauli principle Nagaev [3] found the same result using a Boltzmann kinetic approach within an elastic and energy independent relaxation-time approximation. For a semiclassical sequential tunneling model de Jong and Beenakker [4] obtained the 1͞3 value within a Boltzmann-Langevin approach in the limit of an infinite number of equal barriers and independently from the value of their transmission coefficient. Compatible results have been found by Liu et al.[5] from a semiclassical implementation of a Monte Carlo simulation which includes Pauli principle. For a phase-coherent model Nazarov [6] has proven the universality of this result in the diffusive limit for arbitrary shape and resistivity distribution of the conductor as long as its length is greater than the carrier mean free path. Experimental evidence of the reduced shot-noise level close to the predicted 1͞3 value in diffusive mesoscopic conductors has been provided in [7][8][9].From the above it is argued that the 1͞3 value of the suppression factor g S I ͞2eI is a universal phenomenon whose physical meaning should lay beyond classical or quantum mechanics and originate from some unifying concept. The aim of this Letter is to address this issue. We conjecture that discreteness of charge transport is at the basis of such a concept, and that a transport dominated by elastic interactions is ultimately the physical reason for the 1͞3 suppression independently from the quantum or classical approach used. Both the (apparently unrelated) coherent [2] and semiclassical [3] contexts where the reduction factor 1͞3 has appeared assume a degenerate Fermi gas, and the noise reduction comes from the regulation of electron motion by the ...

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“…Therefore this full shot-noise regime cannot be related in any way to the presence of current saturation, as it happens in other systems like vacuum tubes 19 or ballistic nondegenerate conductors. [20][21][22] Rather, it constitutes an intrinsic property of the sample related to the diffusive transport regime of carriers ͑the same phenomenon can be observed in inelastic diffusive nondegenerate semiconductors, see below and Ref. 23͒.…”

Section: Monte Carlo Resultsmentioning

confidence: 99%

Shot-noise anomalies in nondegenerate elastic diffusive conductors

Gomila

González²,

Reggiani

2002

Phys. Rev. B

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We present a theoretical investigation of shot-noise properties in nondegenerate elastic diffusive conductors. Both Monte Carlo simulations and analytical approaches are used. Two interesting phenomena are found: ͑i͒ the display of enhanced shot noise for given energy dependences of the scattering time, and ͑ii͒ the recovery of full shot noise for asymptotic high applied bias. The first phenomenon is associated with the onset of negative differential conductivity in energy space that drives the system towards a dynamical electrical instability in excellent agreement with analytical predictions. The enhancement is found to be strongly amplified when the dimensionality in momentum space is lowered from three to two dimensions. The second phenomenon is due to the suppression of the effects of long-range Coulomb correlations that takes place when the transit time becomes the shortest time scale in the system, and is common to both elastic and inelastic nondegenerate diffusive conductors. These phenomena shed different light in the understanding of the anomalous behavior of shot noise in mesoscopic conductors, which is a signature of correlations among different current pulses.

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Electron-number statistics and shot-noise suppression by Coulomb correlation in nondegenerate ballistic transport

Cited by 30 publications

References 15 publications

Shot noise in mesoscopic conductors

Shot noise in mesoscopic conductors

Universality of the 1/3 Shot-Noise Suppression Factor in Nondegenerate Diffusive Conductors

Shot-noise anomalies in nondegenerate elastic diffusive conductors

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