Deconfined criticality in bilayer graphene

Abstract

We propose that bilayer graphene can provide an experimental realization of deconfined criticality. Current experiments indicate the presence of Néel order in the presence of a moderate magnetic field. The Néel order can be destabilized by application of a transverse electric field. The resulting electric field induced state is likely to have valence bond solid order, and the transition can acquire the emergent fractionalized and gauge excitations of deconfined criticality.

12 pages, 7 figures. Added more experimental implication in the conclusion of this version

References in corpus (19)

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• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
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• Electron fractionalization in two-dimensional graphenelike structures
• Quantum Criticality
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
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• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Electron Interactions in Bilayer Graphene: Marginal Fermi Liquid Behaviour and Zero Bias Anomaly
• Spin Symmetry of the Bilayer Graphene Groundstate
• Geometric phases and competing orders in two dimensions

Cited by in corpus (11)

• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
• Realizing topological surface states in a lower-dimensional flat band
• Wess-Zumino-Witten Terms in Graphene Landau Levels
• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Thermal Transport Signatures of Broken-Symmetry Phases in Graphene
• A high-order study of the quantum critical behavior of a frustrated spin-$\frac{1}{2}$ antiferromagnet on a stacked honeycomb bilayer
• SU(3) and SU(4) singlet quantum Hall states at $\nu =2/3$
• Competing Orders and Anomalies
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems