Xavier Oriols

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It is proved that many-particle Bohm trajectories can be computed from single-particle time-dependent Schrödinger equations. From this result, a practical algorithm for the computation of transport properties of many-electron systems with exchange and Coulomb correlations is derived. As a test, two-particle Bohm trajectories in a tunneling scenario are(More)
Following Oriols (2007 Phys. Rev. Lett. 98 066803), an algorithm to deal with the exchange interaction in non-separable quantum systems is presented. The algorithm can be applied to fermions or bosons and, by construction, it exactly ensures that any observable is totally independent of the interchange of particles. It is based on the use of conditional(More)
Power dissipation constitutes a major constriction in modern and future nanoelectronic design [1]. In this context, predictive models elucidating new criterions to control Joule heating would be valuable. In this work we reveal how an accurate formulation of the many-body Coulomb correlations among carriers can lead to new perspectives on the design of(More)
The de Broglie–Bohm sdBBd formalism of quantum mechanics f1–3g was initially proposed by Louis de Broglie in 1926, and finally formulated, in mathematical terms, by David Bohm in 1952. Since then, all attempts to prove a measurable difference with the Copenhagen interpretation, named here standard quantum mechanics sSQMd, have been unfruitful f1–3g. In a(More)
In time dependent (classical or quantum) particle-based simulators, one needs an algorithm to determine when (and with which properties) electrons are injected from the reservoir into the simulation box. In this work we develop an electron injection model for 2D materials with linear-dispersion materials. The injected model is based on satisfying the(More)
Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed with quasi-particle wave packets. Two initial one-particle wave packets (with opposite central momentums) are spatially localized at each side of a barrier. After impinging upon a tunneling barrier, each wave packet splits into transmitted and reflected(More)
Today, the necessity of faster and smaller devices is pushing the electronic industry into developing electron devices with solid-state structures of few nanometers. In these dimensions electron dynamics are in general governed by quantum mechanical laws. We have recently shown that Bohmian trajectories allow a direct treatment of the many-particle(More)
The effect of exchange interaction on the scattering probabilities of two electrons injected simultaneously from different sources into a tunneling barrier is analyzed using time-dependent antisymmetric wave functions. Quantum noise for two electrons is calculated using this algorithm showing excellent agreement with Büttiker results for typical(More)