https://doi.org/10.1007/s100510050469
Mobile impurity in one-dimensional correlated electron systems*
Department of Applied Physics, Osaka University, Suita,
Osaka 565, Japan
Corresponding author: a kawakami@primrose.ap.eng.osaka-u.ac.jp
Received:
26
February
1998
Revised:
27
April
1998
Accepted:
30
April
1998
Published online: 15 October 1998
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(ν) 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)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
