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Quantum Transport within a Background Medium: Fluctuations versus Correlations

In: High Performance Computing in Science and Engineering, Garching/Munich 2007

Author

Listed:
  • Holger Fehske

    (Ernst-Moritz-Arndt-Universität Greifswald, Institut für Physik)

  • Andreas Alvermann

    (Ernst-Moritz-Arndt-Universität Greifswald, Institut für Physik)

  • Gerhard Wellein

    (Regionales Rechenzentrum Erlangen)

Abstract

We investigate transport within some background medium by means of an effective lattice model with a novel form of fermion-boson coupling. The bosons correspond to local fluctuations of the background. The model captures the principal transport mechanisms that apply to a great variety of physical systems, and can be applied, e.g. in the one-particle sector, to describe the motion of lattice and spin polarons, or the dynamics of a particle coupled to a bath. Performing large-scale numerical simulations on the HLRB-II at LRZ Munich, based on highly efficient variational Lanczos and Chebyshev moment expansion techniques, we analyse the newly proposed model by exactly calculating the single quasiparticle effective mass, ground-state dispersion and spectral function, as well as the Drude weight and the optical conductivity for an infinite one-dimensional system. Moreover, for the half-filled band case, we establish a metal-insulator quantum phase transition by analysing the particle-particle/boson correlations and photoemission spectra.

Suggested Citation

  • Holger Fehske & Andreas Alvermann & Gerhard Wellein, 2009. "Quantum Transport within a Background Medium: Fluctuations versus Correlations," Springer Books, in: Siegfried Wagner & Matthias Steinmetz & Arndt Bode & Matthias Brehm (ed.), High Performance Computing in Science and Engineering, Garching/Munich 2007, pages 649-668, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69182-2_50
    DOI: 10.1007/978-3-540-69182-2_50
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