Mobile impurity approach to the optical conductivity in the Hubbard chain

2016/01/31 by Thomas Veness, Fabian H. L. Essler, Fabian H. L. Eßler · 1 citation
Physics and Astronomy · #Bethe ansatz #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Conductivity #Dispersion (optics) #Excited state #Hubbard model #Impurity #Optical conductivity #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Superconductivity #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.93.205101

published as Phys. Rev. B 93, 205101 (2016) · 38 pages, 17 figures

arxiv created 2016/04/19 · openalex publication_date 2016/05/02 · arxiv updated 2016/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the optical conductivity in the one-dimensional Hubbard model in the metallic phase close to half-filling. In this regime, most of the spectral weight is located at frequencies above an energy scale E_opt that tends towards the optical gap in the Mott insulating phase for vanishing doping. Using the Bethe ansatz, we relate E_opt to thresholds of particular kinds of excitations in the Hubbard model. We then employ a mobile impurity model to analyze the optical conductivity for frequencies slightly above these thresholds. This entails generalizing mobile impurity models to excited states that are not the highest weight with regards to the SU(2) symmetries of the Hubbard chain, and that occur at a maximum of the impurity dispersion.

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