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Finite-Temperature Many-Body Perturbation Theory for Superconducting Fermion Systems
Abstract For a many-fermion system, Bogoliubov's Principle of Compensation of Dangerous Diagrams (PCDD) to determine the coefficients in a canonical transformation to quasiparticles is derived from the variational principle that the number of quasiparticles in the system is a minimum. The PCDD states that the sum of the diagrams going from a two-quasiparticle state to the vacuum is zero. When the PCDD is used with the quasiparticle self energy, both in first order of finite-temperature perturbation theory, the finite- temperature Hartree-Fock-Bogoliubov theory is obtained. Corrections to the quasiparticle energy can be calculated systematically by going to second or higher orders in both the PCDD and self energy, and solving the equations self consistently.
Finite-Temperature Many-Body Perturbation Theory for Superconducting Fermion Systems
Abstract For a many-fermion system, Bogoliubov's Principle of Compensation of Dangerous Diagrams (PCDD) to determine the coefficients in a canonical transformation to quasiparticles is derived from the variational principle that the number of quasiparticles in the system is a minimum. The PCDD states that the sum of the diagrams going from a two-quasiparticle state to the vacuum is zero. When the PCDD is used with the quasiparticle self energy, both in first order of finite-temperature perturbation theory, the finite- temperature Hartree-Fock-Bogoliubov theory is obtained. Corrections to the quasiparticle energy can be calculated systematically by going to second or higher orders in both the PCDD and self energy, and solving the equations self consistently.
Finite-Temperature Many-Body Perturbation Theory for Superconducting Fermion Systems
Kobe, Donald H. (author)
Condensed Matter Theories ; 173-181
1990-01-01
9 pages
Article/Chapter (Book)
Electronic Resource
English
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