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

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

2007-02-21

arxiv.org/abs/cond-mat/0702505v3

Phys. Rev. B 76, 155402 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.76.155402

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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