SHINAOKA, Hiroshi, Dominique Alain GEFFROY, Markus WALLERBERGER, Junya OTSUKI, Kazuyoshi YOSHIMI, Emanuel GULL a Jan KUNES. Sparse sampling and tensor network representation of two-particle Green's functions. SciPost Physics. Amsterdam: SciPost Foundation, 2020, roč. 8, č. 1, s. 1-23. ISSN 2542-4653. Dostupné z: https://dx.doi.org/10.21468/SciPostPhys.8.1.012. |
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@article{1699356, author = {Shinaoka, Hiroshi and Geffroy, Dominique Alain and Wallerberger, Markus and Otsuki, Junya and Yoshimi, Kazuyoshi and Gull, Emanuel and Kunes, Jan}, article_location = {Amsterdam}, article_number = {1}, doi = {http://dx.doi.org/10.21468/SciPostPhys.8.1.012}, keywords = {Green's function; Hubbard model; Tensor networks}, language = {eng}, issn = {2542-4653}, journal = {SciPost Physics}, title = {Sparse sampling and tensor network representation of two-particle Green's functions}, url = {https://scipost.org/10.21468/SciPostPhys.8.1.012}, volume = {8}, year = {2020} }
TY - JOUR ID - 1699356 AU - Shinaoka, Hiroshi - Geffroy, Dominique Alain - Wallerberger, Markus - Otsuki, Junya - Yoshimi, Kazuyoshi - Gull, Emanuel - Kunes, Jan PY - 2020 TI - Sparse sampling and tensor network representation of two-particle Green's functions JF - SciPost Physics VL - 8 IS - 1 SP - 1-23 EP - 1-23 PB - SciPost Foundation SN - 25424653 KW - Green's function KW - Hubbard model KW - Tensor networks UR - https://scipost.org/10.21468/SciPostPhys.8.1.012 L2 - https://scipost.org/10.21468/SciPostPhys.8.1.012 N2 - Many-body calculations at the two-particle level require a compact representation of two-particle Green's functions. In this paper, we introduce a sparse sampling scheme in the Matsubara frequency domain as well as a tensor network representation for two-particle Green's functions. The sparse sampling is based on the intermediate representation basis and allows an accurate extraction of the generalized susceptibility from a reduced set of Matsubara frequencies. The tensor network representation provides a system independent way to compress the information carried by two-particle Green's functions. We demonstrate efficiency of the present scheme for calculations of static and dynamic susceptibilities in single- and two-band Hubbard models in the framework of dynamical mean-field theory. ER -
SHINAOKA, Hiroshi, Dominique Alain GEFFROY, Markus WALLERBERGER, Junya OTSUKI, Kazuyoshi YOSHIMI, Emanuel GULL a Jan KUNES. Sparse sampling and tensor network representation of two-particle Green's functions. \textit{SciPost Physics}. Amsterdam: SciPost Foundation, 2020, roč.~8, č.~1, s.~1-23. ISSN~2542-4653. Dostupné z: https://dx.doi.org/10.21468/SciPostPhys.8.1.012.
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