Dynamic Cluster Quantum Monte Carlo analysis of the kagome-lattice Hubbard model

The electronic properties of Kagome metals emerge from a complex interplay between electronic correlations and the geometric frustration of their lattice structure. The band structure in these materials features flat bands, Dirac cones, and van Hove singularities that can be tuned to the Fermi level by varying the carrier density, thus providing an ideal setting for establishing nontrivial topological phases, charge density wave states, and unconventional superconductivity. Here we present dynamic cluster quantum Monte Carlo approximation calculations for the kagome-lattice Hubbard model that give insight into this complexity.