Novel criticality of Dirac fermions in the presence of emergent gauge fields

Abstract

We consider spontaneous symmetry breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using a renormalization group analysis, we show that the presence of gauge fields leads to novel fermion induced quantum (multi-)criticality where the putative emergent Lorentz invariance is violated. We illustrate this with the example of translational symmetry breaking due to charge-density wave order on the honeycomb lattice. Finally, we identify that topological phase transitions are well described by this effective field theory.

14 pages, 5 figures. arXiv admin note: text overlap with arXiv:1906.03892

References in corpus (24)

• The electronic properties of graphene
• "Deconfined" quantum critical points
• Topological Mott Insulators
• Interactions and phase transitions on graphene's honeycomb lattice
• Electron fractionalization in two-dimensional graphenelike structures
• Discovery of topological chiral crystals with helicoid arc states
• Merging of Dirac points in a two-dimensional crystal
• Theory of interacting electrons on the honeycomb lattice
• A new magnetic field dependence of Landau levels on a graphene like structure
• Theory of resonant multiphonon Raman scattering in graphene
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
• Renormalization group theory of nematic ordering in d-wave superconductors
• Theory of the nodal nematic quantum phase transition in superconductors
• Quantum Criticality of Topological Phase Transitions in 3D Interacting Electronic Systems
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Gauge-field-assisted Kekulé quantum criticality
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• The emergence of a universal limiting speed
• Non-abelian gauge fields and quadratic band touchings in molecular graphene
• Deconfined quantum criticality and emergent SO(5) symmetry in fermionic systems
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• Fermionic multicriticality near Kekulé valence-bond ordering in honeycomb lattice

Cited by in corpus (5)

• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• Quantum phase transitions in Dirac fermion systems
• Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact $1/N_f$ exponents
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
• Bipolaron formed through electron-hole excitation