Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918465252622336 |
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| author | Eßl, Herbert Reitner, Matthias Kozik, Evgeny Toschi, Alessandro |
| author_facet | Eßl, Herbert Reitner, Matthias Kozik, Evgeny Toschi, Alessandro |
| contents | Self-consistent approaches in many-electron problems typically converge to an unphysical solution in strongly correlated regimes. By deriving the mathematical condition for the stability of the physical solution, we unveil the precise relation between two distinct issues previously considered equivalent: the misleading convergence in self-consistent schemes and the multivaluedness of the Luttinger-Ward functional. Although these problems are fundamentally linked through the divergences of the irreducible vertex function, we show that misleading convergence can occur even in the absence of such divergences. Eventually, a systematic procedure for stabilizing the physical solution is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01420 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications Eßl, Herbert Reitner, Matthias Kozik, Evgeny Toschi, Alessandro Strongly Correlated Electrons Self-consistent approaches in many-electron problems typically converge to an unphysical solution in strongly correlated regimes. By deriving the mathematical condition for the stability of the physical solution, we unveil the precise relation between two distinct issues previously considered equivalent: the misleading convergence in self-consistent schemes and the multivaluedness of the Luttinger-Ward functional. Although these problems are fundamentally linked through the divergences of the irreducible vertex function, we show that misleading convergence can occur even in the absence of such divergences. Eventually, a systematic procedure for stabilizing the physical solution is proposed. |
| title | Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.01420 |