Threshold Singularities in the One Dimensional Hubbard Model

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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26 pages, 12 figures version to appear in Phys Rev B

Scientific paper

We consider excitations with the quantum numbers of a hole in the one dimensional Hubbard model below half-filling. We calculate the finite-size corrections to the energy. The results are then used to determine threshold singularities in the single-particle Green's function for commensurate fillings. We present the analogous results for the Yang-Gaudin model (electron gas with delta-function interactions).

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