Hierarchy of Self-Consistent Approximate Methods and the Parquet ...
Hierarchy of Self-Consistent Approximate Methods and the Parquet ...
Hierarchy of Self-Consistent Approximate Methods and the Parquet ...
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summary <strong>of</strong> <strong>the</strong> different approximate methods<br />
G<br />
Σ<br />
⇐ F = 0<br />
HF<br />
G<br />
Σ<br />
⇐ F ≈ v<br />
SOP T<br />
G<br />
⇐ Γ ≈ v<br />
RP A, T MA, F LEX<br />
Σ<br />
F<br />
G<br />
Γ<br />
P A<br />
⇐ Λ ≈ v<br />
MSMB<br />
Λ II ≈ Λ I,DCA/QMC<br />
Σ<br />
F<br />
• iterate until self-consistency is satisfied<br />
• It is also a hierarchy <strong>of</strong> methods with different computational costs<br />
• <strong>the</strong>re are two levels <strong>of</strong> self-consistency for <strong>the</strong> parquet calculation<br />
<strong>Hierarchy</strong> <strong>of</strong> <strong>Self</strong>-<strong>Consistent</strong> <strong>Approximate</strong> <strong>Methods</strong> <strong>and</strong> <strong>the</strong> <strong>Parquet</strong> Formalism 34