Fermionic and Continuous Time Quantum Monte Carlo

Abstract

Diagrammatic “continuous-time” algorithms for fermionic systems are algorithms that evaluate the diagrammatic perturbation series of interacting many-body systems stochastically. The algorithms involve no approximations and are numerically exact for convergent series, as they appear, for example, in the description of finite lattice problems and quantum impurity models. Among other advantages the various formulations of continuous-time algorithms are able to accurately describe systems with general, complex multi-orbital structures as they appear in the theoretical description of a wide range of transition metal and actinide compounds.