Electric charge motion, induced current, energy balance, and noise

Pellegrini, Bruno

doi:10.1103/physrevb.34.5921

Cited by 100 publications

(68 citation statements)

References 5 publications

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“…In order to guarantee overallcharge-neutrality, a set of boundary conditions for the above mentioned Hamiltonian was derived to include the Coulomb interaction between particles inside and outside of the active region [125,127,128]. In the high-frequency domain the assessment of current conservation has been achieved through a generalization of the Ramo-ShockleyPellegrini theorems [129][130][131][132][133] for Bohmian mechanics [134,135]. Over the last ten years, as a result of the above mentioned works, Oriols and coworkers have developed a trajectory-based quantum Monte Carlo simulator based on Bohmian mechanics specially designed for the description of electron transport in nanoscale devices, both for DC and beyond DC regimes (see Refs.…”

Section: Nanoelectronics: From DC To the Thz Regimementioning

confidence: 99%

Applied Bohmian mechanics

et al. 2014

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Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard quantum theories have different formalisms, both give exactly the same predictions for all phenomena. Fifteen years ago, the quantum chemistry community began to study the practical usefulness of Bohmian mechanics. Since then, the scientific community has mainly applied it to study the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectorybased explanation of complicated quantum phenomena. Here we present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for this kind of problems (where the Bohmian and the quantum hydrodynamic formalisms coincide). In addition, this work also emphasizes that the Bohmian formalism can be a useful tool in other types of (nonunitary and nonlinear) quantum problems where the influence of the environment or the nonsimulated degrees of freedom are relevant. This review contains also examples on the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. The ability of the Bohmian formalism to analyze this last type of problems for (open) quantum systems remains mainly unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory among the scientific community will be greatly influenced by its potential success in those types of problems that present nonunitary and/or nonlinear quantum evolutions. A brief introduction of the Bohmian formalism and some of its extensions are presented in the last part of this review.

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Section: Nanoelectronics: From DC To the Thz Regimementioning

confidence: 99%

Applied Bohmian mechanics

et al. 2014

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“…It is remarkable that the problem addressed here, which is so central and basic to solid state electronics, has found so little attention. We can cite only a few works where the authors express a similar perception [9,10]. Below we emphasize the need of a charge and current conserving approach to ac-conductance and exemplify this with a discussion of the ac-response of the conductor shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Time-dependent current partition in mesoscopic conductors

Büttiker

1995

Nuov Cim B

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The currents at the terminals of a mesoscopic conductor are evaluated in the presence of slowly oscillating potentials applied to the contacts of the sample. The need to find a charge and current conserving solution to this dynamic current partition problem is emphasized. We present results for the electro-chemical admittance describing the long range Coulomb interaction in a Hartree approach. For multiply connected samples we discuss the symmetry of the admittance under reversal of an Aharonov-Bohm flux.

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“…1(a), a linear potential profile is assumed along the whole device region at any time. The instantaneous current, I͑t͒, is computed from the extension to semiconductors, due to Pellegrini, 15 of the Ramo-Shockley theorem:…”

mentioning

confidence: 99%

Self-consistent simulation of quantum shot noise in nanoscale electron devices

Oriols

Trois

Blouin

2004

Applied Physics Letters

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An approach for studying shot noise in mesoscopic systems that explicitly includes the Coulomb interaction among electrons, by self-consistently solving the Poisson equation, is presented. As a test, current fluctuations on a standard resonant tunneling diode are simulated in agreement with previous predictions and experimental results. The present approach opens a new path for the simulation of nanoscale electron devices, where pure quantum mechanical and Coulomb blockade phenomena coexist.

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Electric charge motion, induced current, energy balance, and noise

Cited by 100 publications

References 5 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

Time-dependent current partition in mesoscopic conductors

Self-consistent simulation of quantum shot noise in nanoscale electron devices

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