We investigate the properties of the spectral function A(ω,U) of correlated electrons within the Hubbard model and dynamical mean-field theory. Curves of A(ω,U) versus ω for different values of the interaction U are found to intersect near the band-edges of the non-interacting system. For a wide range of U the crossing points are located within a sharply confined region. The precise location of these “isosbestic points” depends on details of the non-interacting band structure. Isosbestic points of dynamic quantities therefore provide valuable insights into microscopic energy scales of correlated systems.
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This paper is dedicated to Hilbert von Löhneysen on the occasion of his 60th birthday.
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Eckstein, M., Kollar, M. & Vollhardt, D. Isosbestic Points in the Spectral Function of Correlated Electrons. J Low Temp Phys 147, 279–293 (2007). https://doi.org/10.1007/s10909-007-9311-3
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DOI: https://doi.org/10.1007/s10909-007-9311-3