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Dimerized Solids and Resonating Plaquette Order in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Dirac Fermions
We study the quantum phases of fermions with an explicit $\mathrm{SU}(N)$-symmetric, Heisenberg-like nearest-neighbor flavor exchange interaction on the honeycomb lattice at half filling. Employing projective (zero temperature) quantum Monte Carlo simulations for even values of $N$, we explore the evolution from a weak-coupling semimetal into the strong-coupling, insulating regime. Furthermore, …