Relativistic Mott criticality in graphene

Abstract

We formulate the effective Gross-Neveu-Yukawa theory of the semimetal-insulator transitions on the honeycomb lattice and compute its quantum critical behavior near three (spatial) dimensions. We find that at the critical point Dirac fermions do not survive as coherent excitations and that the $\sim 1/r$ tail of the weak Coulomb interaction is an irrelevant coupling. The emergent Lorentz invariance near criticality implies a universal ratio of the low-temperature specific heats of the metallic and the rotational-symmetry-broken insulating phase.

4 pages, one figure; updated, published version

References in corpus (11)

• The electronic properties of graphene
• Topological Mott Insulators
• Interactions and phase transitions on graphene's honeycomb lattice
• Is graphene in vacuum an insulator?
• Theory of interacting electrons on the honeycomb lattice
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Lattice field theory simulations of graphene
• Coulomb interaction at the metal-insulator critical point in graphene
• Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene

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