Computation of Quantum Electrical Currents Through the Ramo–shockley–pellegrini Theorem With Trajectories

Albareda, Guillermo; Traversa, Fabio L.; Benali, A.; Oriols, X.

doi:10.1142/s0219477512420084

Cited by 26 publications

(25 citation statements)

References 20 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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“…In fact, the RSP theorem has been extended for quantum systems by Pellegrini himself [17] and also by the authors of the present work [18] using, respectively, exact wavefunction and trajectory-based schemes. An important consideration was however obviated in these previous works: the effects of the measuring apparatus on the evolution of the quantum system.…”

Section: Introductionmentioning

confidence: 88%

“…Please, notice that the terms Γ q i (t) and Γ e i (t) cannot be interpreted as the conduction, Υ c i (t), and displacement, Υ d i (t), currents, respectively. In particular, the term Γ q i (t) includes not only the conduction current, but also part of the displacement current [18].…”

Section: The Ramo-shockley-pellegrini Theorem For Quantum Systemsmentioning

confidence: 99%

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Sequential Measurement of Displacement and Conduction Currents in Electronic Devices

2016

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Abstract. The extension of the Ramo-Schockley-Pellegrini theorem for quantum systems allows to define a positive-operator valued measure (POVM) for the total conduction plus displacement electrical current. The resulting current operator is characterized by two parameters, viz. the width of the associated Gaussian functions and the lapse of time between consecutive measurements. For large Gaussian dispersions and small time intervals, the operator obeys to a continuous weakmeasurement scheme. Contrarily, in the limit of very narrow Gaussian widths and a single-shot measurement, the operator corresponds to a standard von Neumann (projective) measurement. We have implemented the resulting measurement protocol into a quantum electron transport simulator. Numerical results for a resonant tunneling diode show the great sensibility of current-voltage characteristics to different parameter configurations of the total current operator.

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“…We consider an electron with a (classical or quantum [2]) trajectory moving along the L direction in the box of dimensions L×W×H shown in the inset of Fig. 2, representing the surfaces S ={S1, …., S6} depicted in Fig.…”

Section: A Time-dependent Currents On Drain or Sources Surfaces Thromentioning

confidence: 99%

Towards frequency performance improvement of emerging devices without length scaling

Benali

Traversa

Albareda

et al. 2013

2013 Spanish Conference on Electron Devices

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The improvement of the intrinsic high-frequency performance of emerging transistors is commonly based on reducing electron transit time and it is pursued by either reducing the channel length or employing novel high-electron-mobility materials. For gate-all-around transistors with lateral dimensions much shorter than their length, a careful analysis of the total time-dependent current shows that a time shorter than the electron transit time along the channel controls their high-frequency behavior. Both, the standard displacement current definition and the Ramo-Shockley-Pellegrini theorem are used to demonstrate this effect. Therefore, the highfrequency performance of such transistors, with a proper geometry design, can go beyond the intrinsic limits imposed by the electron transit time.

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Computation of Quantum Electrical Currents Through the Ramo–shockley–pellegrini Theorem With Trajectories

Cited by 26 publications

References 20 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

Sequential Measurement of Displacement and Conduction Currents in Electronic Devices

Towards frequency performance improvement of emerging devices without length scaling

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