Time-Dependent Many-Particle Simulation for Resonant Tunneling Diodes: Interpretation of an Analytical Small-Signal Equivalent Circuit

Traversa, Fabio L.; Buccafurri, E.; Alarcon, A.; Albareda, Guillermo; Clerc, R.; Calmon, Françis; Poncet, A.; Oriols, X.

doi:10.1109/ted.2011.2138144

Cited by 30 publications

(23 citation statements)

References 40 publications

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“…Many-body theories and simulations, confirmed by experimental measurements, show, for example, different current patterns [126,147,148] or a very enhanced noise spectrum in the negative differential conductance region [149,150]. Of particular interest is the behavior of the intrinsic current fluctuations, where the correlations between electron trapped in the resonant state during a dwell time and those remaining in the left reservoir play a crucial role [151]. This correlation occurs essentially because the trapped electrons perturb the potential energy felt by the electrons in the reservoir.…”

Section: Nanoelectronics: From DC To the Thz Regimementioning

confidence: 93%

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: 93%

Applied Bohmian mechanics

et al. 2014

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“…We thank Xavier Cartoixà, David Jiménez and Weiqing Zhou for helpful discussion. The authors acknowledge funding from Fondo Europeo de Desarrollo Regional (FEDER), the "Ministerio de Ciencia e Innovación" through the Spanish Project TEC2015-67462- In this Appendix, we detail how we define the wave nature of electrons in graphene transistors by using the conditional bispinor wave functions in the BITLLES simulator 27,[30][31][32][33] . Graphene dynamics (as well as for other linear band structure materials) are given by the Dirac equation, and not by the usual Schrödinger one, which is valid for parabolic bands.…”

Section: Acknowledgementmentioning

confidence: 99%

Time-dependent quantum Monte Carlo simulation of electron devices with two-dimensional Dirac materials: A genuine terahertz signature for graphene

et al. 2019

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An intrinsic electron injection model for linear band two-dimensional (2D) materials, like graphene, is presented and its coupling to a recently developed quantum time-dependent Monte Carlo simulator for electron devices, based on the use of stochastic Bohmian conditional wave functions, is explained. The simulator is able to capture the full (DC, AC, transient and noise) performance of 2D electron devices. In particular, we demonstrate that the injection of electrons with positive and negative kinetic energies is mandatory when investigating high frequency performance of linear band materials with Klein tunneling, while traditional models dealing with holes (defined as the lack of electrons) can lead to unphysical results. We show that the number of injected electrons is bias-dependent, implying that an extra charge is required to get self-consistent results. Interestingly, we provide a successful comparison with experimental DC data. Finally, we predict that a genuine high-frequency signature due to a roughly constant electron injection rate in 2D linear band electron devices (which is missing in 2D parabolic band ones) can be used as a band structure tester.

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“…(42). This type of computation has already been used to study quantum transport in nano electronic devices (Albareda et al 2013;Oriols & Mompart 2012;Albareda et al 2009Albareda et al , 2010Traversa et al 2011;Alarcón et al 2013). A commercial software named BITLLES 11 has been developed following these ideas.…”

Section: Numerical Example For Two Interacting Particlesmentioning

confidence: 99%

Can the wave function in configuration space be replaced by single-particle wave functions in physical space?

2014

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The ontology of Bohmian mechanics includes both the universal wave function (living in 3N-dimensional configuration space) and particles (living in ordinary 3-dimensional physical space). Proposals for understanding the physical significance of the wave function in this theory have included the idea of regarding it as a physicallyreal field in its 3N-dimensional space, as well as the idea of regarding it as a law of nature. Here we introduce and explore a third possibility in which the configuration space wave function is simply eliminated-replaced by a set of single-particle pilotwave fields living in ordinary physical space. Such a re-formulation of the Bohmian pilot-wave theory can exactly reproduce the statistical predictions of ordinary quantum theory. But this comes at the rather high ontological price of introducing an infinite network of interacting potential fields (living in 3-dimensional space) which influence the particles' motion through the pilot-wave fields. We thus introduce an alternative approach which aims at achieving empirical adequacy (like that enjoyed by GRW type theories) with a more modest ontological complexity, and provide some preliminary evidence for optimism regarding the (once popular but prematurely-abandoned) program of trying to replace the (philosophically puzzling) configuration space wave function with a (totally unproblematic) set of fields in ordinary physical space.

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Time-Dependent Many-Particle Simulation for Resonant Tunneling Diodes: Interpretation of an Analytical Small-Signal Equivalent Circuit

Cited by 30 publications

References 40 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

Time-dependent quantum Monte Carlo simulation of electron devices with two-dimensional Dirac materials: A genuine terahertz signature for graphene

Can the wave function in configuration space be replaced by single-particle wave functions in physical space?

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