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Springer eBooks

World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons

Fakher F. Assaad, Hans Gerd Evertz

Published Dec 8, 2007• 145 citations
Publisher
DOI
10.1007/978-3-540-74686-7_10

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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.