Orthogonality catastrophe in a one-dimensional system of correlated electrons

Details Orthogonality catastrophe in a one-dimensional system of correlated electrons Orthogonality catastrophe in a one-dimensional system of correlated electrons

1997-07-08

arxiv.org/abs/cond-mat/9707082v1

Phys. Rev. B 57, pp8878-8889 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, Latex, 8 eps figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.57.8878

We present a detailed numerical study of the orthogonality catastrophe exponent for a one-dimensional lattice model of spinless fermions with nearest neighbor interaction using the density matrix remormalization group algorithm. Keeping up to 1200 states per block we achieve a very great accuracy for the overlap which is needed to extract the orthogonality exponent reliably. We discuss the behavior of the exponent for three different kinds of a localized impurity. For comparison we also discuss the non-interacting case. In the weak impurity limit our results for the overlap confirm scaling behavior expected from perturbation theory and renormalization group calculations. In particular we find that a weak backward scattering component of the orthogonality exponent scales to zero for attractive interaction. In the strong impurity limit and for repulsive interaction we demonstrate that the orthogonality exponent cannot be extracted from the overlap for systems with up to 100 sites, due to finite size effects. This is in contradiction to an earlier interpretation given by Qin et al. based on numerical data for much smaller system sizes. Neverthless we find indirect evidence that the backward scattering contribution to the exponent scales to 1/16 based on predictions of boundary conformal field theory.

Affiliated with

Also associated with

No associations

Rating

Orthogonality catastrophe in a one-dimensional system of correlated electrons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Orthogonality catastrophe in a one-dimensional system of correlated electrons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonality catastrophe in a one-dimensional system of correlated electrons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487471