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Particle-hole condensates of higher angular momentum in hexagonal systems

Particle-hole condensates of higher angular momentum in hexagonal systems

Hexagonal lattice systems (e.g., triangular, honeycomb, kagome) possess a multidimensional irreducible representation corresponding to ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$ and ${d}_{xy}$ symmetry. Consequently, various unconventional phases that combine these $d$-wave representations can occur, and in so doing may break time-reversal and spin-rotation symmetries. We show that hexagonal lattice systems with extended repulsive interactions can …