Asymptotically Exact Method for Calculating the Density of States of High-temperature Superconductors

Abstract

A method based on a combination of Monte Carlo and gradient descent algorithms is presented for calculating the spectral density from the Green’s function. The method does not contain systematic errors and, in principle, can be used to parameterize any spectral function with a given accuracy. The application of the method is illustrated by the restoration of the spectral density of iron-based superconductors. The method can be used to study properties of metal nanoclusters and other systems.