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

M. Khodas·M. Pustilnik·A. 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.

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M. Khodas, M. Pustilnik, A. Kamenev, L. I. Glazman. 2007-09-28. Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions. https://doi.org/10.1103/physrevb.76.155402

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