Quantum Transport within a Background Medium: Fluctuations versus Correlations

Holger Fehske (), Andreas Alvermann and Gerhard Wellein
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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

A chapter in High Performance Computing in Science and Engineering, Garching/Munich 2007, 2009, pp 649-668 from Springer

Abstract: 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.

Date: 2009
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DOI: 10.1007/978-3-540-69182-2_50

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