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

M. Khodas*, M. Pustilnik, A. Kamenev, L. I. Glazman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

118 Scopus citations


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 languageAmerican English
Article number155402
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number15
StatePublished - 1 Oct 2007
Externally publishedYes


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