Multi-critical behavior of $Z_2\times O(2)$ Gross-Neveu-Yukawa theory in graphene

Abstract

Multi-critical behavior of interacting fermions in graphene's honeycomb lattice is presented. In particular, we considered the spin triplet insulating orders, where the spin rotational symmetry of the order parameter is explicitly broken. By casting the problem in terms of Gross-Neveu-Yukawa theory we show that such symmetry-breaking terms are irrelevant near the metal-insulator critical point. A finite Yukawa coupling among bosons and fermions improves the stability of such critical point against the symmetry-breaking perturbations. Physical sources of such symmetry-breaking terms are pointed out. Critical exponents are calculated near the transitions as well.

4 pages, 1 figure, Published Version with corrections and new references

References in corpus (15)

• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit gap of graphene: First-principles calculations
• Topological Mott Insulators
• Strength of effective Coulomb interactions in graphene and graphite
• Interactions and phase transitions on graphene's honeycomb lattice
• Theory of interacting electrons on the honeycomb lattice
• Density waves and Cooper pairing on the honeycomb lattice
• Theory of integer quantum Hall effect in graphene
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Quantum critical scaling in magnetic field near the Dirac point in graphene
• Odd integer quantum Hall effect in graphene
• Inhomogeneous magnetic catalysis on graphene's honeycomb lattice

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