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- Publisher Website: 10.1088/0256-307X/34/7/077102
- Scopus: eid_2-s2.0-85025081222
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Article: Analytic Continuation with Padé Decomposition
Title | Analytic Continuation with Padé Decomposition |
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Authors | |
Issue Date | 2017 |
Citation | Chinese Physics Letters, 2017, v. 34, n. 7, article no. 077102 How to Cite? |
Abstract | © 2017 Chinese Physical Society and IOP Publishing Ltd. The ill-posed analytic continuation problem for Green's functions or self-energies can be carried out using the Padé rational polynomial approximation. However, to extract accurate results from this approximation, high precision input data of the Matsubara Green function are needed. The calculation of the Matsubara Green function generally involves a Matsubara frequency summation, which cannot be evaluated analytically. Numerical summation is requisite but it converges slowly with the increase of the Matsubara frequency. Here we show that this slow convergence problem can be signifcantly improved by utilizing the Padé decomposition approach to replace the Matsubara frequency summation by a Padé frequency summation, and high precision input data can be obtained to successfully perform the Padé analytic continuation. |
Persistent Identifier | http://hdl.handle.net/10722/268594 |
ISSN | 2023 Impact Factor: 3.5 2023 SCImago Journal Rankings: 0.815 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Han, Xing Jie | - |
dc.contributor.author | Liao, Hai Jun | - |
dc.contributor.author | Xie, Hai Dong | - |
dc.contributor.author | Huang, Rui Zhen | - |
dc.contributor.author | Meng, Zi Yang | - |
dc.contributor.author | Xiang, Tao | - |
dc.date.accessioned | 2019-03-25T08:00:09Z | - |
dc.date.available | 2019-03-25T08:00:09Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Chinese Physics Letters, 2017, v. 34, n. 7, article no. 077102 | - |
dc.identifier.issn | 0256-307X | - |
dc.identifier.uri | http://hdl.handle.net/10722/268594 | - |
dc.description.abstract | © 2017 Chinese Physical Society and IOP Publishing Ltd. The ill-posed analytic continuation problem for Green's functions or self-energies can be carried out using the Padé rational polynomial approximation. However, to extract accurate results from this approximation, high precision input data of the Matsubara Green function are needed. The calculation of the Matsubara Green function generally involves a Matsubara frequency summation, which cannot be evaluated analytically. Numerical summation is requisite but it converges slowly with the increase of the Matsubara frequency. Here we show that this slow convergence problem can be signifcantly improved by utilizing the Padé decomposition approach to replace the Matsubara frequency summation by a Padé frequency summation, and high precision input data can be obtained to successfully perform the Padé analytic continuation. | - |
dc.language | eng | - |
dc.relation.ispartof | Chinese Physics Letters | - |
dc.title | Analytic Continuation with Padé Decomposition | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1088/0256-307X/34/7/077102 | - |
dc.identifier.scopus | eid_2-s2.0-85025081222 | - |
dc.identifier.volume | 34 | - |
dc.identifier.issue | 7 | - |
dc.identifier.spage | article no. 077102 | - |
dc.identifier.epage | article no. 077102 | - |
dc.identifier.eissn | 1741-3540 | - |
dc.identifier.isi | WOS:000410696400047 | - |
dc.identifier.issnl | 0256-307X | - |