October 3, 2025Open Access

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

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Quantum critical behavior is signaled by the divergence of interaction couplings at critical energy scales.
Two stable fixed points and nine additional fixed points were identified, influencing the behaviors of various fermion interactions.
The study employed a momentum-shell renormalization group approach, analyzing all relevant fermion-fermion interactions equally.
Instabilities linked to charge density waves and superconductivity emerge near particular fixed points, pointing to significant low-energy behavior.

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This investigation reveals quantum critical behavior in two-dimensional kagomé semimetals, indicating interaction-driven instabilities.

Fang et al. (2025) studied this question.

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