The kagome lattice, known for its geometric frustration and flat bands, provides a fertile ground for emerging correlated electronic phases. Using a self-consistent mean-field approach within the extended Hubbard model, we compute the phase diagrams of the kagome lattice as a function of on-site and nearest-neighbor interactions for various fillings of the flat band. We report a rich variety of phases—including charge-density waves (CDW), ferromagnetism (FM), and spin-charge density waves with ferro- and antiferromagnetic character (SCDW-FM, SCDW-AFM)—whose phases are critically dependent on electron filling. At very low fillings, the high density of states fosters a complex competition between phases, with SCDW-AFM being prominent. As the filling increases, the ferromagnetic correlations strengthen, culminating in the SCDW-FM phase dominating the phase diagram at high fillings. We characterize each phase through its real-space charge and spin localization properties and local density of states, linking them to the underlying mechanisms of geometric frustration and Stoner instability. Our results show how the interplay between interactions and filling governs the emergence of diverse orders on the kagome lattice, offering insights into the phase competition seen in related materials.

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• Charge density waves
• Density of states
• Electronic structure
• Flat bands
• Magnetic order
• Phase diagrams
• Spin density waves
• Kagome lattice
• Hubbard model
• Mean field theory
• Tight-binding model