Mott multicriticality of Dirac electrons in graphene

Abstract

We study the multicritical behavior for the semimetal-insulator transitions on graphene's honeycomb lattice using the Gross-Neveu-Yukawa effective theory with two order parameters: the SO(3) (Heisenberg) order parameter describes the antiferromagnetic transition, and the ${\mathbb{Z}}_2$ (Ising) order parameter describes the transition to a staggered density state. Their coupling induces multicritical behavior which determines the structure of the phase diagram close to the multicritical point. Depending on the number of fermion flavors $N_f$ and working in the perturbative regime in vicinity of three (spatial) dimensions, we observe first order or continuous phase transitions at the multicritical point. For the graphene case of $N_f=2$ and within our low order approximation, the phase diagram displays a tetracritical structure.

5 pages, 3 figures

References in corpus (13)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Topological Mott Insulators
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Interactions and phase transitions on graphene's honeycomb lattice
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Theory of interacting electrons on the honeycomb lattice
• Density waves and Cooper pairing on the honeycomb lattice
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Supercritical Coulomb center and excitonic instability in graphene
• Three Loop Analysis of the Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Spin Versus Charge Density Wave Order in Graphene-like Systems

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