Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation

Abstract

We introduce a Julia implementation of the recently proposed Nevanlinna analytic continuation method. The method is based on Nevanlinna interpolants and, by construction, preserves the causality of a response function. For theoretical calculations without statistical noise, this continuation method is a powerful tool to extract real-frequency information from numerical input data on the Matsubara axis. This method has been applied to first-principles calculations of correlated materials. This paper presents its efficient and full-featured open-source implementation of the method including the Hamburger moment problem and smoothing.

arXiv commentSubmission to SciPost

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• Orbital Magnetic Field Driven Metal-Insulator Transition in Strongly Correlated Electron Systems
• Imaginary Time Formalism for Causal Nonlinear Response Functions
• Spin liquid phase in the Hubbard model: Luttinger-Ward analysis of the slave-rotor formalism