Abstract

AbstractA high‐density electron–hole system in one dimension (1D) is studied theoretically in terms of the photoinduced Fermi‐edge singularity (FES) in optical spectra, the anomaly of which results from the fluctuating exciton Bose condensation in 1D. Describing this system as the two‐band Tomonaga Luttinger (TL) liquid with the forward‐scattering correlations, the critical exponent of the FES is analytically obtained with the aid of the bosonization technique. Competition between the exciton condensation and other Fermi‐surface instabilities is also clarified within the framework of the two‐band g‐ology. Comparison with the FES in ordinary 1D conductors (heavily‐doped 1D semiconductors), which are described as the single‐band TL liquids, is made to clarify recoil effects of an optical hole on the FES. Effects of backward scatterings, random potentials, spin‐dependent electronic correlations, and spin splitting of the conduction band are also discussed.

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