Dirac points, spinons and spin liquid in twisted bilayer graphene

Abstract

Twisted bilayer graphene is an excellent example of highly correlated system demonstrating a nearly flat electron band, the Mott transition and probably a spin liquid state. Besides the one-electron picture, analysis of Dirac points is performed in terms of spinon Fermi surface in the limit of strong correlations. Application of gauge field theory to describe deconfined spin liquid phase is treated. Topological quantum transitions, including those from small to large Fermi surface in the presence of van Hove singularities, are discussed.

arXiv comment4 pages, JETP Letters, accepted

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• Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice Model
• Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
• Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
• Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization not Mott Insulation
• Possible correlated insulating states in magic-angle twisted bilayer graphene under strongly competing interactions
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Electronic Compressibility of Magic-Angle Graphene Superlattices
• Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene
• Multiple topological transitions in twisted bilayer graphene near the first magic angle
• Electronic band structure and pinning of Fermi energy to van Hove singularities in twisted bilayer graphene: a self consistent approach
• Charge-transfer insulation in twisted bilayer graphene
• Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene
• Wannier Pairs in the Superconducting Twisted Bilayer Graphene and Related Systems
• Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
• Correlated Insulating Phases in the Twisted Bilayer Graphene
• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Possible nodeless $s^{\pm }$-wave superconductivity in twisted bilayer graphene
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• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
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• On the nature of the correlated insulator states in twisted bilayer graphene
• Bilayer, hydrogenated and fluorinated graphene: QED vs SU(2) QCD theory