Implicit ladder summation in the Hartree-Fock-Bogoliubov approach

Details Implicit ladder summation in the Hartree-Fock-Bogoliubov approach Implicit ladder summation in the Hartree-Fock-Bogoliubov approach

2011-08-29

arxiv.org/abs/1108.5702v1

Physics

Condensed Matter

Quantum Gases

Scientific paper

The fully variational Hartree Fock Bogoliubov approach for bosons is studied in the limit of zero range forces in two- and three-dimensions. The equation of state obtained in two-dimensions is expressed in a parametric form. It is shown that the $\Lambda$ potential permits to perform an implicit summation of the ladder diagrams without leaving the variational scheme, restoring thus the consistency of this approximation.

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