@article{2c0c2f2e51254667be6501903f4c87c8,
title = "Overcomplete compact representation of two-particle Green's functions",
abstract = "Two-particle Green's functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems. However, numerical calculations at the two-particle level often suffer from large computation time and massive memory consumption. We derive a general expansion formula for the two-particle Green's functions in terms of an overcomplete representation based on the recently proposed {"}intermediate representation{"} basis. The expansion formula is obtained by decomposing the spectral representation of the two-particle Green's function. We demonstrate that the expansion coefficients decay exponentially, while all high-frequency and long-tail structures in the Matsubara-frequency domain are retained. This representation therefore enables efficient treatment of two-particle quantities and opens a route to the application of modern many-body theories to realistic strongly correlated electron systems.",
author = "Hiroshi Shinaoka and Junya Otsuki and Kristjan Haule and Markus Wallerberger and Emanuel Gull and Kazuyoshi Yoshimi and Masayuki Ohzeki",
note = "Funding Information: We are grateful to Lewin Boehnke, Giuseppe Carleo, Li Huang, Hugo Strand, Shintaro Hoshino, Philipp Werner, Masahiro Hasegawa, and Takeo Kato for fruitful discussions. H.S. was supported by JSPS KAKENHI Grant Nos. 16H01064 (J-Physics), 16K17735. J.O. was supported by JSPS KAKENHI Grant Nos. 26800172, 16H01059 (J-Physics). M.O. was supported by MEXT KAKENHI Grant No. 25120008, JST CREST, and JSPS KAKENHI No. 16H04382. K.Y. was supported by Building of Consortia for the Development of Human Resources in Science and Technology, MEXT, Japan. K.H. was supported by NSF DMR-1405303. M.O. was supported by MEXT KAKENHI Grant No. 25120008, JSPS KAKENHI Grant No. 16H04382, and ImPACT Program of Council for Science, Technology and Innovation (Cabinet Office, Government of Japan). M.W. was supported by the Simons collaboration on the many-electron problem, EG by NSF DMR-1606348. We used w2dynamics [37] for QMC measurement of the three-point Green's function. Publisher Copyright: {\textcopyright} 2018 American Physical Society.",
year = "2018",
month = may,
day = "9",
doi = "10.1103/PhysRevB.97.205111",
language = "English",
volume = "97",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "20",
}