Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions

M. Khodas, M. Pustilnik, Alex Kamenev, L. I. Glazman

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Abstract

We evaluate the spectral function of interacting fermions in one dimension. Contrary to the Tomonaga-Luttinger model, our treatment accounts for the nonlinearity of the free fermion spectrum. In a striking departure from the Luttinger liquid theory, the spectrum nonlinearity restores the main feature of the Fermi liquid: a Lorentzian peak in the spectral function on the particle mass shell. At the same time, the spectral function displays a power-law singularity on the hole mass shell, similar to that in the Luttinger liquid.

Original languageEnglish (US)
Article number155402
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number15
DOIs
StatePublished - Oct 1 2007

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