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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 479-486
Mobile impurity in one-dimensional correlated electron systems
Y. Tsukamoto, T. Fujii, N. Kawakami (a)
Department of Applied Physics, Osaka University, Suita, Osaka 565, Japan
Received: 26 February 1998 / Revised: 27 April 1998 / Accepted: 30 April 1998
Abstract: Critical properties of one-dimensional (1D) correlated electron systems with a mobile impurity are investigated. By applying the finite-size scaling method to a Bethe-ansatz solvable model, we derive the conformal dimensions related to the orthogonality catastrophe. We then apply the results to the Fermi-edge singularity in quantum wires, and clarify how the critical exponent for X-ray absorption depends on the mass of the core-hole created. A generalization to SU($\nu$) electron systems is outlined based on the g-on description of 1D electron systems.
PACS. 71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) - 72.15.Nj Collective modes (e.g., in one-dimensional conductors) - 72.10.Fk Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)
(a) email: kawakami@primrose.ap.eng.osaka-u.ac.jp
Article in PDF format (338 KB)
Online publication: October 26, 1998
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