Fourier transformation and response functions
We improve on Fourier transforms (FTs) between imaginary time τ and imaginary frequency ωn used in certain quantum cluster approaches using the Hirsch-Fye method. The asymptotic behavior of the electron Green’s function can be improved by using a “sum-rule” boundary condition for a spline. For respo...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
13 December 2010
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2010, Volume: 82, Issue: 23, Pages: 233104 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.82.233104 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevB.82.233104 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.82.233104 
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| Author Notes: | O. Gunnarsson, G. Sangiovanni, A. Valli, and M.W. Haverkort |
| Summary: | We improve on Fourier transforms (FTs) between imaginary time τ and imaginary frequency ωn used in certain quantum cluster approaches using the Hirsch-Fye method. The asymptotic behavior of the electron Green’s function can be improved by using a “sum-rule” boundary condition for a spline. For response functions a two-dimensional FT of a singular function is required. We show how this can be done efficiently by splitting off a one-dimensional part containing the singularity and by performing a semianalytical FT for the remaining more innocent two-dimensional part. |
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| Item Description: | Gesehen am 06.11.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.82.233104 |