Physics – Condensed Matter
Scientific paper
1993-02-12
Phys.Rev. B47 (1993) 16186
Physics
Condensed Matter
22 pages + 1 postscript figure, REVTEX
Scientific paper
10.1103/PhysRevB.47.16186
Using the Bethe ansatz analysis as was reformulated by Edwards, we calculate the spectral properties of a particle interacting with a bath of fermions in one dimension for the case of equal particle-fermion masses. These are directly related to singularities apparent in optical experiments in one dimensional systems. The orthogonality catastrophe for the case of an infinite particle mass survives in the limit of equal masses. We find that the exponent $\beta$ of the quasiparticle weight, $Z\simeq N^{-\beta}$ is different for the two cases, and proportional to their respective phaseshifts at the Fermi surface; we present a simple physical argument for this difference. We also show that these exponents describe the low energy behavior of the spectral function, for repulsive as well as attractive interaction.
Castella Herve
Zotos Xenophon
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