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Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation

Computational Physics 2024-03-20 v2 Strongly Correlated Electrons

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.

Cite

@article{arxiv.2302.10476,
  title  = {Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation},
  author = {Kosuke Nogaki and Jiani Fei and Emanuel Gull and Hiroshi Shinaoka},
  journal= {arXiv preprint arXiv:2302.10476},
  year   = {2024}
}

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Submission to SciPost

R2 v1 2026-06-28T08:45:17.517Z