Dynamical mean field theory of the bilayer Hubbard model with inchworm Monte Carlo

Dolev Goldberger, Yehonatan Fridman, Emanuel Gull, Eitan Eidelstein, Guy Cohen

Research output: Contribution to journalArticlepeer-review


Dynamical mean field theory allows access to the physics of strongly correlated materials with nontrivial orbital structure, but relies on the ability to solve auxiliary multiorbital impurity problems. The most successful approaches to date for solving these impurity problems are the various continuous time quantum Monte Carlo algorithms. Here, we consider perhaps the simplest realization of multiorbital physics: the bilayer Hubbard model on an infinite-coordination Bethe lattice. Despite its simplicity, the majority of this model's phase diagram cannot be predicted by using traditional Monte Carlo methods. We show that these limitations can be largely circumvented by recently introduced inchworm Monte Carlo techniques. We then explore the model's phase diagram at a variety of interaction strengths, temperatures, and filling ratios.

Original languageEnglish
Article number085133
JournalPhysical Review B
Issue number8
StatePublished - 15 Feb 2024


FundersFunder number
U.S. Department of Energy
Office of Science
Basic Energy SciencesDE-SC0022088
Advanced Scientific Computing Research
Israel Science Foundation218/19, 2902/21
PAZY Foundation318/78


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