https://doi.org/10.1007/s100510050490
Correlation functions in the Calogero-Sutherland model with open boundaries*
1
Institut für Theoretische Physik, Universität Hannover,
30167 Hannover, Germany
2
Landau Institute for Theoretical Physics,
Kosygina Street 2, 117940 Moscow, Russia
Corresponding author: a frahm@itp.uni-hannover.de
Received:
12
February
1998
Accepted:
17
March
1998
Published online: 15 October 1998
Calogero-Sutherland models of type BCN are known to be relevant to the physics of one-dimensional quantum impurity effects. Here we represent certain correlation functions of these models in terms of generalized hypergeometric functions. Their asymptotic behaviour supports the predictions of (boundary) conformal field theory for the orthogonality catastrophy and Friedel oscillations.
PACS: 05.70.Jk – Critical point phenomena / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 72.10.Fk – Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998