Broken translational symmetry in an emergent paramagnetic phase of graphene

Abstract

We show that the spin-density wave state on the partially filled honeycomb and triangular lattices is preempted by a paramagnetic phase that breaks an emergent Z_4 symmetry of the system, associated with the four inequivalent arrangements of spins in the quadrupled unit cell. Unlike other emergent paramagnetic phases in itinerant and localized-spin systems, this state preserves the rotational symmetry of the lattice but breaks its translational symmetry, giving rise to a super-lattice structure that can be detected by scanning tunneling microscopy. This emergent phase also has distinctive signatures in the magnetic spectrum that can be probed experimentally.

arXiv comment7 pages, 4 figures

References in corpus (13)

• The electronic properties of graphene
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Chiral superconductivity from repulsive interactions in doped graphene
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
• Magnetic multipole analysis of kagome and artificial ice dipolar arrays
• Two-stage ordering of spins in a dipolar spin ice on the kagome lattice
• Kohn-Luttinger superconductivity in graphene
• Magnetic degeneracy and hidden metallicity of the spin density wave state in ferropnictides
• Itinerant half-metal spin-density-wave state on the hexagonal lattice
• Spin-density-wave instability in graphene doped near the van Hove singularity
• Pomeranchuk instability in doped graphene

Cited by in corpus (19)

• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Intertwined vestigial order in quantum materials: nematicity and beyond
• Superconductivity from weak repulsion in hexagonal lattice systems
• Competing orders at higher-order Van Hove points
• A chiral twist on the high-$T_c$ phase diagram in Moiré heterostructures
• Novel magnetic orderings in the kagome Kondo-lattice model
• Wannier Pairs in the Superconducting Twisted Bilayer Graphene and Related Systems
• Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors
• Instabilities of Weyl-loop semi-metals
• Emergent Potts order in the kagomé $J_1-J_3$ Heisenberg model
• Multi-$Q$ hexagonal spin density waves and dynamically generated spin-orbit coupling: time-reversal invariant analog of the chiral spin density wave
• Emergent Critical Phase and Ricci Flow in a 2D Frustrated Heisenberg Model
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Magnetic and nematic orders of the 2DEG at oxide (111) surfaces and interfaces
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Emergent Criticality and Friedan Scaling in a 2D Frustrated Heisenberg Antiferromagnet
• Particle-hole condensates of higher angular momentum in hexagonal systems
• Prediction of $f$-wave pairing symmetry in YBa${}_2$Cu${}_3$O${}_{6+x}$ cuprates
• Half-metallic magnetization plateaux