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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Hartree-Fock approximation: F = 0<br />
• No vertex correction to <strong>the</strong> self-energy<br />
• 〈n i↑ n i↓ 〉 = 〈n i↑ 〉〈n i↓ 〉 (χ = G ∗ G)<br />
• Lowest-order correction: O(U 2 )<br />
Σ<br />
=<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 24