Abstract

The Fermi-edge singularity in optical spectra is studied theoretically for one-dimensional (1D) metals. Using the intermediate-coupling method, the critical exponent is obtained analytically for an arbitrary mass of an optical hole. The electronic correlation is also taken exactly 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 interaction among the conduction electrons sharpens the power-law peak in the edge spectrum.

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