Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 79, Issue 9, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.79.094707
Keywords
two-particle self-consistency; parquet equation; self-consistent renormalization theory; impurity Anderson model; Hubbard model; Mermin-Wagner theorem; quantum critical point
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Funding
- Ministry of Education, Culture, Sports, Science and Technology, Japan [20102008]
- Grants-in-Aid for Scientific Research [20102008] Funding Source: KAKEN
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A self-consistent theory for two-particle fluctuations with renormalized irreducible vertices is proposed. Using the Parquet formalism, we construct the fully antisymmetric full vertex in terms of the two-particle fluctuations in the charge, the spin and the particle-particle channels on an equal footing to satisfy the Pauli principle. The fluctuations are determined self-consistently, which are reflected into the one-particle self-energy via the Schwinger-Dyson equation. We demonstrate the application of the present theory to the impurity Anderson model and the Hubbard model on a square lattice mainly for the particle-hole symmetric case. In both models the vertex renormalization in the spin channel eliminates magnetic instabilities of mean-field theory to ensure the Mermin-Wagner theorem. The present theory gives the same critical exponents of the self-consistent renormalization theory in the quantum critical region.
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