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arXiv:0909.0606 · Physical Review B

One-dimensional quantum transport affected by a background medium: Fluctuations versus correlations

Satoshi Ejima, Holger Fehske

Published Oct 1, 2009• 10 citations
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Abstract

We analyze the spectral properties of a very general two-channel fermion-boson transport model in the insulating and metallic regimes and the signatures of the metal-insulator quantum phase transition in between. To this end we determine the single-particle spectral function related to angle-resolved photoemission spectroscopy, the momentum distribution function, the Drude weight, and the optical response by means of a dynamical (pseudosite) density-matrix renormalization group technique for the one-dimensional half-filled band case. We show how the interplay of correlations and fluctuations in the background medium controls the charge dynamics of the system, which is a fundamental problem in a great variety of advanced materials.

DOI
10.1103/physrevb.80.155101

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We solve a very general two-channel fermion-boson model describing charge transport within some background medium by means of a refined pseudosite density-matrix renormalization group technique. Performing a careful finite-size scaling analysis, we determine the ground-state phase diagram and convincingly prove that the model exhibits a metal-insulator quantum phase transition for the half-filled band case. In order to characterize the metallic and insulating regimes we calculate, besides the local particle densities and fermion-boson correlation functions, the kinetic energy, the charge-structure factor, the Luttinger liquid charge exponent, and the single-particle excitation gap for a one-dimensional infinite system.
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