Impurity in a Luttinger liquid away from half-filling: a numerical study

Abstract

Conformal field theory gives quite detailed predictions for the low energy spectrum and scaling exponents of a massless Luttinger liquid at generic filling in the presence of an impurity. While these predictions were verified for half-filled systems, there was till now no analysis away from this particular filling. Here, we fill in this gap by numerically investigating a quarter-filled system using the density matrix renormalization group technique. Our results confirm conformal field theory predictions, and suggest that they are indeed valid for arbitrary fillings.

9 pages (include figures), one reference added in this new version

References in corpus (1)

• Comment on ``Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids''

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