108 lines
5.4 KiB
BibTeX
108 lines
5.4 KiB
BibTeX
%% This BibTeX bibliography file was created using BibDesk.
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%% Created for Pierre-Francois Loos at 2022-11-21 15:26:33 +0100
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@inbook{Bickers_2004,
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abstract = {Self-consistent field techniques for the many-electron problem are examined using the modern formalism of functional methods. Baym-Kadanoff, or $\Phi$-derivable, approximations are introduced first. After a brief review of functional integration results, the connection between conventional mean-field theory and higher-order Baym-Kadanoff approximations is established through the concept of the action functional. The $\Phi$-derivability criterion for thermodynamic consistency is discussed, along with the calculation of free-energy derivatives. Parquet, or crossing-symmetric, approximations are introduced next. The principal advantages of the parquet approach and its relationship to Baym-Kadanoff theory are outlined. A linear eigenvalue equation is derived to study instabilities of the electronic normal state within Baym-Kadanoff or parquet theory. Finally, numerical techniques for the solution of self-consistent field approximations are reviewed, with particular emphasis on renormalization group methods for frequency and momentum space.},
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address = {New York, NY},
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author = {Bickers, N. E.},
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booktitle = {Theoretical Methods for Strongly Correlated Electrons},
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date-added = {2022-11-21 15:26:29 +0100},
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date-modified = {2022-11-21 15:26:33 +0100},
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doi = {10.1007/0-387-21717-7_6},
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editor = {S{\'e}n{\'e}chal, David and Tremblay, Andr{\'e}-Marie and Bourbonnais, Claude},
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isbn = {978-0-387-21717-8},
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pages = {237--296},
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publisher = {Springer New York},
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title = {Self-Consistent Many-Body Theory for Condensed Matter Systems},
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url = {https://doi.org/10.1007/0-387-21717-7_6},
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year = {2004},
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bdsk-url-1 = {https://doi.org/10.1007/0-387-21717-7_6}}
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@article{Bickers_1989,
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abstract = {We discuss the solution of nontrivial conserving approximations for electronic correlation functions in systems with strong collective fluctuations. The formal properties of conserving approximations have been well known for over twenty years, but numerical solutions have been limited to Hartree-Fock level. We extend the formal analysis of Baym and Kadanoff in order to derive the simplest self-consistent approximation based on exchange of fluctuations in the particle-hole and particle-particle channels. We then describe a practical technique for calculating self-consistent single-particle Green's functions and solving the finite-temperature Bethe-Salpeter equation for electrons on a lattice.},
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author = {N.E Bickers and D.J Scalapino},
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date-added = {2022-11-21 13:41:21 +0100},
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date-modified = {2022-11-21 13:41:39 +0100},
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doi = {https://doi.org/10.1016/0003-4916(89)90359-X},
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issn = {0003-4916},
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journal = {Ann. Phys.},
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number = {1},
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pages = {206-251},
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title = {Conserving approximations for strongly fluctuating electron systems. I. Formalism and calculational approach},
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url = {https://www.sciencedirect.com/science/article/pii/000349168990359X},
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volume = {193},
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year = {1989},
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bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/000349168990359X},
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bdsk-url-2 = {https://doi.org/10.1016/0003-4916(89)90359-X}}
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@article{Baym_1962,
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author = {Baym, Gordon},
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date-added = {2022-11-21 13:34:30 +0100},
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date-modified = {2022-11-21 13:34:35 +0100},
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doi = {10.1103/PhysRev.127.1391},
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issue = {4},
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journal = {Phys. Rev.},
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month = {Aug},
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numpages = {0},
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pages = {1391--1401},
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publisher = {American Physical Society},
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title = {Self-Consistent Approximations in Many-Body Systems},
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url = {https://link.aps.org/doi/10.1103/PhysRev.127.1391},
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volume = {127},
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year = {1962},
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bdsk-url-1 = {https://link.aps.org/doi/10.1103/PhysRev.127.1391},
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bdsk-url-2 = {https://doi.org/10.1103/PhysRev.127.1391}}
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@article{Baym_1961,
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author = {Baym, Gordon and Kadanoff, Leo P.},
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date-added = {2022-11-21 13:33:26 +0100},
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date-modified = {2022-11-21 13:33:32 +0100},
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doi = {10.1103/PhysRev.124.287},
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issue = {2},
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journal = {Phys. Rev.},
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month = {Oct},
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numpages = {0},
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pages = {287--299},
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publisher = {American Physical Society},
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title = {Conservation Laws and Correlation Functions},
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url = {https://link.aps.org/doi/10.1103/PhysRev.124.287},
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volume = {124},
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year = {1961},
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bdsk-url-1 = {https://link.aps.org/doi/10.1103/PhysRev.124.287},
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bdsk-url-2 = {https://doi.org/10.1103/PhysRev.124.287}}
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@article{DeDominicis_1964a,
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author = {De Dominicis,Cyrano and Martin,Paul C.},
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date-added = {2022-11-20 17:17:04 +0100},
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date-modified = {2022-11-20 17:44:24 +0100},
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doi = {10.1063/1.1704062},
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journal = {J. Math. Phys.},
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number = {1},
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pages = {14-30},
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title = {Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. I. Algebraic Formulation},
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volume = {5},
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year = {1964},
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bdsk-url-1 = {https://doi-org-s.docadis.univ-tlse3.fr/10.1063/1.1704062},
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bdsk-url-2 = {https://doi.org/10.1063/1.1704062}}
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@article{DeDominicis_1964b,
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author = {De Dominicis,Cyrano and Martin,Paul C.},
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date-added = {2022-11-20 17:16:45 +0100},
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date-modified = {2022-11-20 17:44:30 +0100},
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doi = {10.1063/1.1704064},
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journal = {J. Math. Phys.},
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number = {1},
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pages = {31-59},
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title = {Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. II. Diagrammatic Formulation},
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volume = {5},
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year = {1964},
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bdsk-url-1 = {https://doi-org-s.docadis.univ-tlse3.fr/10.1063/1.1704064},
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bdsk-url-2 = {https://doi.org/10.1063/1.1704064}}
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