Hidden Charge Order of Interacting Dirac Fermions on the Honeycomb Lattice

Abstract

We consider the extended half-filled Hubbard model on the honeycomb lattice for second nearest neighbors interactions. Using a functional integral approach, we find that collective fluctuations suppress topological states and instead favor charge ordering, in agreement with previous numerical studies. However, we show that the critical point is not of the putative semimetal-Mott insulator variety. Due to the frustrated nature of the interactions, the ground state is described by a novel hidden {\it metallic} charge order with {\it semi-Dirac} excitations. We conjecture that this transition is not in the Gross-Neveu universality class.

arXiv comment5 pages, 3 figures

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• Novel criticality of Dirac fermions in the presence of emergent gauge fields
• Novel criticality of Dirac fermions from lattice symmetry breaking
• Quantum critical scaling of gapped phases in nodal-line semimetals
• Stability of the Néel quantum critical point in the presence of Dirac fermions