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Femtosecond Evolution of Spatially Inhomogeneous Carrier Excitations Part I: Kinetic Approach

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Large-Scale Scientific Computing (LSSC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3743))

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Abstract

The ultrafast evolution of optically excited carriers which propagate in a quantum wire and interact with three dimensional phonons is investigated. The equation, relevant to this physical problem, is derived by a first principle approach. The electron-phonon interaction is described on a quantum-kinetic level by the Levinson equation, but the evolution problem becomes inhomogeneous due to the spatial dependence of the initial condition. The initial carrier distribution is assumed Gaussian both in energy and space coordinates, an electric field can be applied along the wire. A stochastic method, described in Part II of the work, is used for solving the equation. The obtained simulation results characterize the space and energy dependence of the evolution in the zero field case. Quantum effects introduced by the early time electron-phonon interaction are analyzed.

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References

  1. Levinson, I.: Translational Invariance in Uniform Fields and the Equation for the Density Matrix in Wigner Representation, Sov. Phys. JETP 30, 362–367 (1970)

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  2. Nedjalkov, M., Gurov, T., Kosina, H., Whitlock, P.: Statistical Algorithms for Simulation of Quantum Kinetics in Semiconductors. In: Margenov, S., Wasniewski, J., Yalamov, P. (eds.) Large-Scale Scientific Computing, pp. 183–190. Springer, Heidelberg (2001)

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  3. Herbst, M., Glanemann, M., Axt, V., Kuhn, T.: Electron-Phonon Quantum Kinetics for Spatially Inhomogenenous Excitations. Physical Review B 67, 195305: 1–18 (2003)

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Author information

Authors and Affiliations

  1. AMADEA Group, Institute for Microelectronics, Technical University of Vienna, Gusshausstrasse 27-29/E360, A-1040, Vienna, Austria

    M. Nedjalkov & V. Palankovski

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, G. Bontchev str. Bl.25A, 1113, Sofia, Bulgaria

    T. Gurov

  3. Institute for Microelectronics, Technical University of Vienna, Gusshausstrasse 27-29/E360, A-1040, Vienna, Austria

    H. Kosina

  4. Department of Electrical Engineering, Arizona State University, Tempe, AZ, 85287-5706, USA

    D. Vasileska

Authors
  1. M. Nedjalkov
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  2. T. Gurov
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  3. H. Kosina
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  4. D. Vasileska
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  5. V. Palankovski
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2006 Springer-Verlag Berlin Heidelberg

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Nedjalkov, M., Gurov, T., Kosina, H., Vasileska, D., Palankovski, V. (2006). Femtosecond Evolution of Spatially Inhomogeneous Carrier Excitations Part I: Kinetic Approach. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_15

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  • DOI: https://doi.org/10.1007/11666806_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31994-8

  • Online ISBN: 978-3-540-31995-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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