Performance analysis of continuous-time solvers for quantum impurity models

Details Performance analysis of continuous-time solvers for quantum impurity models Performance analysis of continuous-time solvers for quantum impurity models

2006-09-19

arxiv.org/abs/cond-mat/0609438v2

Phys. Rev. B 76, 235123 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.76.235123

Impurity solvers play an essential role in the numerical investigation of strongly correlated electrons systems within the "dynamical mean field" approximation. Recently, a new class of continuous-time solvers has been developed, based on a diagrammatic expansion of the partition function in either the interactions or the impurity-bath hybridization. We investigate the performance of these two complementary approaches and compare them to the well-established Hirsch-Fye method. The results show that the continuous-time methods, and in particular the version which expands in the hybridization, provide substantial gains in computational efficiency.

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