Isosbestic Points in the Spectral Function of Correlated Electrons

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.