Fourier transformation and response functions
We improve on Fourier transforms (FT) between imaginary time $\tau$ and imaginary frequency $\omega_n$ 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 "sumrule" boundary conditi...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2010
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| In: |
Arxiv
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| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1009.1804
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| Verfasserangaben: | O. Gunnarsson, G. Sangiovanni, A. Valli and M.W. Haverkort |
MARC
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| 100 | 1 | |a Gunnarsson, Olle |e VerfasserIn |4 aut | |
| 245 | 1 | 0 | |a Fourier transformation and response functions |c O. Gunnarsson, G. Sangiovanni, A. Valli and M.W. Haverkort |
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| 520 | |a We improve on Fourier transforms (FT) between imaginary time $\tau$ and imaginary frequency $\omega_n$ 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 "sumrule" 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 semi-analytical FT for the remaining more innocent two-dimensional part. | ||
| 650 | 4 | |a Condensed Matter - Strongly Correlated Electrons | |
| 700 | 1 | |a Haverkort, Maurits W. |d 1976- |e VerfasserIn |0 (DE-588)130132047 |0 (DE-627)491717946 |0 (DE-576)257824006 |4 aut | |
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