Interaction-driven quantum criticality in two-dimensional quadratic band crossing semimetals with time-reversal symmetry breaking

The study investigates sixteen fermion-fermion interactions in 2D kagome semimetals with a quadratic band crossing point. Using renormalization group analysis, it found ten distinct fixed points that govern quantum critical behavior. These fixed points dictate the dominant low-energy phases, showing that competing orders like Charge Density Waves (CDW) and chiral superconductivity are key outcomes.

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