Self-consistent theory of shot noise in nondegenerate ballistic conductors

Bulashenko, O. M.; Rubı́, J. M.; Kochelap, V. A.

doi:10.1103/physrevb.61.5511

Cited by 29 publications

(63 citation statements)

References 46 publications

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“…The behavior displayed by the system in region ͑iii͒ was previously examined in detail in Ref. 18. Figure 9 reports the Fano factor for Lϭ20 and ϭ8 (L/L D c ϭ28.2) corresponding to region ͑iv͒ of the general scheme.…”

Section: ͑40͒mentioning

confidence: 99%

“…18, here extended to the case of degenerate injection conditions. To this end, the first step consists in solving for the distribution function that satifies the Vlasov-Poisson-Langevin system of equations, Eqs.…”

Section: Appendix: Derivation Of the Main Formulasmentioning

confidence: 99%

“…Thus the system is 1D in real space and three- dimensional ͑3D͒ in momentum space. 18 The carriers are injected into the active region in accordance with the equilibrium Fermi-Dirac distribution function and satisfying the Pauli exclusion principle, thus following the corresponding binomial injection statistics. 26,27 For simplicity, a single spherical parabolic band is assumed.…”

Section: System Under Studymentioning

confidence: 99%

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Semiclassical theory of shot noise in ballisticn+−i−n+semiconductor structures: Relevance of Pauli and long-range Coulomb correlations

et al. 2002

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We work out a semiclassical theory of shot noise in ballistic n ϩ -i-n ϩ semiconductor structures aiming at studying two fundamental physical correlations coming from Pauli exclusion principle and long-range Coulomb interaction. The theory provides a unifying scheme which, in addition to the current-voltage characteristics, describes the suppression of shot noise due to Pauli and Coulomb correlations in the whole range of system parameters and applied bias. The whole scenario is summarized by a phase diagram in the plane of two dimensionless variables related to the sample length and contact chemical potential. Here different regions of physical interest can be identified where only Coulomb or only Pauli correlations are active, or where both are present with different relevance. The predictions of the theory are proven to be fully corroborated by Monte Carlo simulations.

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Section: ͑40͒mentioning

confidence: 99%

Section: Appendix: Derivation Of the Main Formulasmentioning

confidence: 99%

Section: System Under Studymentioning

confidence: 99%

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Semiclassical theory of shot noise in ballisticn+−i−n+semiconductor structures: Relevance of Pauli and long-range Coulomb correlations

et al. 2002

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“…Assuming that the barrier is much wider than the wavelength of electrons, one can neglect tunneling and quantum reflection, i.e., the transmission probability is 1 if the electron energy is higher than the barrier height, and it is 0 in the opposite case. In this framework, the transport is described by the collisionless Boltzmann equation selfconsistently coupled with the Poisson equation supplemented by the stochastic boundary conditions for the occupation numbers: 8,9 ͩ ‫ץ‬…”

Section: Basic Equationsmentioning

confidence: 99%

“…As was recently shown, Coulomb interactions may suppress the shot noise down to several orders of magnitude in spacecharge-limited ballistic conductors. 8,9 In this paper, we focus mainly on the question of how the effect of Coulomb interactions on the shot noise can be employed to reveal important information on the energy profile of nonequilibrium carriers injected from an emitter contact.…”

Section: Introductionmentioning

confidence: 99%

Shot-noise spectroscopy of energy-resolved ballistic currents

Naspreda¹,

Bulashenko²,

Rubı́³

2003

Phys. Rev. B

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We investigate the shot noise of nonequilibrium carriers injected into a ballistic conductor and interacting via long-range Coulomb forces. Coulomb interactions are shown to act as an energy analyzer of the profile of injected electrons by means of the fluctuations of the potential barrier at the emitter contact. We show that the details in the energy profile can be extracted from shot-noise measurements in the Coulomb interaction regime, but cannot be obtained from time-averaged quantities or shot-noise measurements in the absence of interactions.

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Kinetic study of quasi‐ballistic electron transport in nanoscale semiconductor devices

Sano

2005

Electron Comm Jpn Pt II

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SUMMARYWe studied the effect of the scattering accompanying dispersion in quasi-ballistic transport at room temperature in nanoscale semiconductor devices primarily by using numerical calculations. The electron velocity distribution function based on a simple n + -n-n + structure was directly determined by solving the semiclassical Boltzmann transport equation. We discovered that the velocity distribution function of electrons near the potential barrier obtained from the Boltzmann transport equation differs from the function assuming ballistic transport and always has a negative velocity component due to scattering in the channel region that cannot be ignored. This analysis result means that the scattering effect in the channel region cannot be ignored even for nanoscale elements.

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Self-consistent theory of shot noise in nondegenerate ballistic conductors

Cited by 29 publications

References 46 publications

Semiclassical theory of shot noise in ballisticn+−i−n+semiconductor structures: Relevance of Pauli and long-range Coulomb correlations

Semiclassical theory of shot noise in ballisticn+−i−n+semiconductor structures: Relevance of Pauli and long-range Coulomb correlations

Shot-noise spectroscopy of energy-resolved ballistic currents

Kinetic study of quasi‐ballistic electron transport in nanoscale semiconductor devices

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