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We propose a method for estimating smooth real-frequency self-energy in thedynamical mean-field theory with the finite-temperature exact diagonalization(DMFT-ED). One of the benefits of DMFT-ED calculations is that one can obtainreal-frequency spectra without a numerical analytic continuation. However,these spectra are spiky and strongly depend on the way to discretize acontinuous bath (e.g., the number of the bath sites). The present scheme isbased on a recently proposed compact representation of imaginary-time Green'sfunctions, the intermediate representation (IR). The projection onto the IRbasis acts as a noise filter for the discretization errors in the self-energy.This enables to extract the physically relevant part from the noisyself-energy. We demonstrate the method for single-site DMFT calculations of thesingle-band Hubbard model. We also show the results can be further improved bynumerical analytic continuation.

Smooth self-energy in the exact-diagonalization-based dynamical mean-field theory: Intermediate-representation filtering approach