Green functions in the renormalized many-body perturbation theory for correlated and disordered electrons
The ways of introducing and handling renormalizations in the many-body perturbation theory are reviewed. We stress the indispensable role the technique of Green functions plays in extrapolating the weak-coupling perturbative approaches to intermediate and strong couplings. We separately discuss ma...
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| Datum: | 2006 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2006
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/121351 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Green functions in the renormalized many-body perturbation theory for correlated and disordered electrons / V. Janis // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 499–518. — Бібліогр.: 28 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The ways of introducing and handling renormalizations in the many-body perturbation theory are reviewed.
We stress the indispensable role the technique of Green functions plays in extrapolating the weak-coupling
perturbative approaches to intermediate and strong couplings. We separately discuss mass and charge renormalizations.
The former is incorporated in a self-consistent equation for the self-energy derived explicitly from
generating Feynman diagrams within the Baym and Kadanoff approach. The latter amounts to self-consistent
equations for two-particle irreducible vertices. We analyze the charge renormalization initiated by De Dominicis
and Martin and demonstrate that its realization via the parquet approach may become a powerful and
viable way of using the many-body diagrammatic approach reliably in non-perturbative regimes with cooperative
phenomena induced by either strong interaction or strong static randomness. |
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