Optical conductivity of the half-filled Hubbard chain

Details Optical conductivity of the half-filled Hubbard chain Optical conductivity of the half-filled Hubbard chain

1999-11-18

arxiv.org/abs/cond-mat/9911281v2

Physical Review Letter 85, 3910 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages with 3 eps figures, published version (changes in text and references)

Scientific paper

10.1103/PhysRevLett.85.3910

We combine well-controlled analytical and numerical methods to determine the optical conductivity of the one-dimensional Mott-Hubbard insulator at zero temperature. A dynamical density-matrix renormalization group method provides the entire absorption spectrum for all but very small coupling strengths. In this limit we calculate the conductivity analytically using exact field-theoretical methods. Above the Lieb-Wu gap the conductivity exhibits a characteristic square-root increase. For small to moderate interactions, a sharp maximum occurs just above the gap. For larger interactions, another weak feature becomes visible around the middle of the absorption band.

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