English

irbasis: Open-source database and software for intermediate-representation basis functions of imaginary-time Green's function

Computational Physics 2019-06-28 v2 Statistical Mechanics Strongly Correlated Electrons Superconductivity Machine Learning

Abstract

The open-source library, irbasis, provides easy-to-use tools for two sets of orthogonal functions named intermediate representation (IR). The IR basis enables a compact representation of the Matsubara Green's function and efficient calculations of quantum models. The IR basis functions are defined as the solution of an integral equation whose analytical solution is not available for this moment. The library consists of a database of pre-computed high-precision numerical solutions and computational code for evaluating the functions from the database. This paper describes technical details and demonstrates how to use the library.

Cite

@article{arxiv.1807.05237,
  title  = {irbasis: Open-source database and software for intermediate-representation basis functions of imaginary-time Green's function},
  author = {Naoya Chikano and Kazuyoshi Yoshimi and Junya Otsuki and Hiroshi Shinaoka},
  journal= {arXiv preprint arXiv:1807.05237},
  year   = {2019}
}

Comments

12 pages, 5 figures

R2 v1 2026-06-23T03:00:53.751Z