Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green's function

نویسندگان

چکیده

This lecture note reviews recently proposed sparse-modeling approaches for efficient ab initio many-body calculations based on the data compression of Green's functions. The techniques are a compact orthogonal basis, an intermediate representation (IR) imaginary-time and Matsubara A sparse sampling method IR basis enables solving diagrammatic equations efficiently. We describe basic properties its applications to GW approximation Migdal--Eliashberg theory. also numerical library method, sparse-ir, provide sample codes. follows Japanese review article [H. Shinaoka et al., Solid State Physics 56(6), 301 (2021)].

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ژورنال

عنوان ژورنال: SciPost physics lecture notes

سال: 2022

ISSN: ['2590-1990']

DOI: https://doi.org/10.21468/scipostphyslectnotes.63