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

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

1997-05-27

arxiv.org/abs/cond-mat/9705269v3

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.56.9766

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.

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