Dirac Points, Spinons, and Spin Liquid in Twisted Bilayer Graphene

2018/04/12 by V. Yu. Irkhin, Yu. N. Skryabin
Physics and Astronomy · #Bilayer graphene #Condensed matter physics #Dirac (video compression format) #Dirac fermion #Electron #Fermi liquid theory #Fermi surface #Graphene #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum spin liquid #Spin (aerodynamics) #Spin polarization #Spinon #Superconductivity #cond-mat.mes-hall #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1134/s0021364018100016

published as Pis'ma ZhETF 107, No. 10, 684-688 (2018); JETP Letters 107, No. 10, 651-654 (2018) · 4 pages, JETP Letters, accepted

arxiv created 2018/04/12 · openalex publication_date 2018/05/01 · arxiv updated 2018/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Critical Fermi surfaces and non-Fermi liquid metals
• U(1) Gauge Theory of the Hubbard Model: Spin Liquid States and Possible Application toκ−(BEDT−TTF)2Cu2(CN)3
• Dynamical mean field study of the Dirac liquid
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Charge Inversion and Topological Phase Transition at a Twist Angle Induced van Hove Singularity of Bilayer Graphene
• Superlattice-Induced Insulating States and Valley-Protected Orbits in Twisted Bilayer Graphene
• Phenomenological theory of the pseudogap state