Blind deconvolution of density-matrix renormalization-group spectra

Abstract

We present a numerical method for calculating piecewise smooth spectral functions of correlated quantum systems in the thermodynamic limit from the spectra of finite systems computed using the dynamical or correction-vector density-matrix renormalization group method. The key idea is to consider this problem as a blind deconvolution with an unknown kernel which causes both a broadening and finite-size corrections of the spectrum. In practice, the method reduces to a least-square optimization under non-linear constraints which enforce the positivity and piecewise smoothness of spectral functions. The method is demonstrated on the single-particle density of states of one-dimensional paramagnetic Mott insulators represented by the half-filled Hubbard model on an open chain. Our results confirm that the density of states has a step-like shape but no square-root singularity at the spectrum onset.

published version

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Cited by in corpus (8)

• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport
• Dynamical correlation functions from complex time evolution
• Dynamical correlation functions for the one-dimensional Bose-Hubbard insulator
• Electron addition spectral functions of low-density polaron liquids
• Quasi-Fermi liquid behavior in a one-dimensional system of interacting spinless fermions
• Comparison of computer-algebra strong-coupling perturbation theory and dynamical mean-field theory for the Mott-Hubbard insulator in high dimensions