UNSPECIFIED (1998) Orthogonality catastrophe in a one-dimensional system of correlated electrons. PHYSICAL REVIEW B, 57 (15). pp. 8878-8889. ISSN 0163-1829

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Abstract

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 renormalization group algorithm. Keeping up to 2000 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 noninteracting 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. Nevertheless we find indirect evidence that the backward scattering contribution to the exponent scales to 1/16 based on predictions of boundary conformal field theory. [S0163-1829(98)01415-5].

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	PHYSICAL REVIEW B
Publisher:	AMERICAN PHYSICAL SOC
ISSN:	0163-1829
Date:	15 April 1998
Volume:	57
Number:	15
Number of Pages:	12
Page Range:	pp. 8878-8889
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/15797

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