Monte Carlo

Within the overall theme of the Simons Collaboration on the Many Electron Problem, we aim to design, develop, implement and test Monte Carlo methods for correlated electron systems.

The Monte Carlo Group will develop new methods, based on Monte Carlo evaluations of summations performed in abstract spaces, for computing fully renormalized interparticle interactions, both in model systems and for long-ranged interactions, in particular the Coulomb interaction, and will interface these to the work of the real materials and tensor networks groups. Initial goals will include a comprehensive solution of the Hubbard model (including comparison between dynamical mean-field and diagrammatic Monte Carlo methods and to results obtained by tensor network methods, development of the methodology needed to treat Coulomb interactions, and inclusion of realistic lattice potentials.


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