Computation of quantum electrical currents through the ramo-shockley- pellegrini theorem with trajectories

G. Albareda, F. L. Traversa, A. Benali, X. Oriols

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16 Citations (Scopus)

Abstract

Motivated by a recent approach to solve quantum dynamics with full Coulomb correlations [X. Oriols, Phys. Rev. Lett. 98 (2007) 066803], we present here an extension of the Ramo-Shockley-Pellegrini theorem for quantum systems to compute the total (conduction plus displacement) current in terms of quantum (Bohmian) trajectories. By way of test, we derive an extension of the Ramo-Shockley- Pellegrini theorem using standard quantum mechanics and we compare it to our former result. As expected, both formulations give identical results, however we emphasize the numerical viability of computing self-consistently the total current by means of quantum trajectories in front of the difficulties to do it in terms of standard quantum mechanics. © 2012 World Scientific Publishing Company.
Original languageEnglish
Article number1242008
JournalFluctuation and Noise Letters
Volume11
Issue number3
DOIs
Publication statusPublished - 1 Sep 2012

Keywords

  • displacement current
  • Electron devices
  • electron transport
  • high-frequency regime
  • many-body systems
  • quantum transport

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