FERMI-EDGE SINGULARITY IN ONE-DIMENSIONAL METALS - EFFECTS OF HOLE RECOIL AND ELECTRONIC CORRELATION

The Fermi-edge singularity in optical spectra is studied theoretically for one-dimensional (ID) metals. Using the intermediate-coupling meth od, the critical exponent is obtained analytically for an arbitrary ma ss of an optical hole. The electronic correlation is also taken exactl y into account by the Tomonaga-Luttinger's bosonization technique. The exponent is found to be independent of the hole dynamics in 1D, which is in striking contrast to the 2D and 3D cases. Weak repulsive intera ction among the conduction electrons sharpens the power-law peak in th e edge spectrum.