Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model

Details Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model

2007-02-20

arxiv.org/abs/cond-mat/0702455v2

Phys. Rev. B 76, 035116 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 4 figures, final version as appeared in PRB

Scientific paper

10.1103/PhysRevB.76.035116

We extend the weak-coupling diagrammatic determinantal algorithm to projective schemes as well as to the inclusion of phonon degrees of freedom. The projective approach provides a very efficient algorithm to access zero temperature properties. To implement phonons, we integrate them out in favor of a retarded density-density interaction and simulate the resulting purely electronic action with the weak-coupling diagrammatic determinantal algorithm. Both extensions are tested within the dynamical mean field approximation for the Hubbard and Hubbard-Holstein models.

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