Friedel oscillations in the open Hubbard chain

verfasst von

G Bedürftig, B. Brendel, H. Frahm, R. M. Noack

Abstract

Using the Density Matrix Renormalization Group (DMRG), we calculate critical exponents for the one-dimensional Hubbard model with open boundary conditions with and without additional boundary potentials at both ends. A direct comparison with open boundary condition Bethe Ansatz calculations provides a good check for the DMRG calculations on large system sizes. On the other hand, the DMRG calculations provide an independent check of the predictions of Conformal Field Theory, which are needed to obtain the critical exponents from the Bethe Ansatz. From Bethe Ansatz we predict the behaviour of the 1/L-corrected mean value of the Friedel oscillations (for the density and the magnetization) and the characteristic wave vectors, and show numerically that these conjectures are fulfilled with and without boundary potentials. The quality of the numerical results allows us to determine, for the first time, the behaviour of the coefficients of the Friedel oscillations as a function of the the Hubbard interaction.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Julius-Maximilians-Universität Würzburg
University of Fribourg

Typ

Artikel

Journal

Physical Review B

Band

58

Seiten

10225-10235

ISSN

0163-1829

Publikationsdatum

15.10.1998

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

Elektronische Version(en)

http://arxiv.org/abs/cond-mat/9805123 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.58.10225 (Zugang: Geschlossen)
https://doi.org/10.15488/5083 (Zugang: Offen)