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

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

Phys. Rev. B 76, 155402 – Published 1 October 2007

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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Received 30 March 2007

DOI:https://doi.org/10.1103/PhysRevB.76.155402

Authors & Affiliations

M. Khodas¹, M. Pustilnik², A. Kamenev³, and L. I. Glazman¹

¹William I. Fine Theoretical Physics Institute and School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
²School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
³School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

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Vol. 76, Iss. 15 — 15 October 2007

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