Emergent fermion dynamical symmetry for monolayer graphene in a strong magnetic field  

作　　者：Mike Guidry Lian-Ao Wu Fletcher Williams 

机构地区：[1]Department of Physics and Astronomy,University of Tennessee,Knoxville,Tennessee 37996,USA [2]Department of Physics,University of the Basque Country UPV/EHU,48080 Bilbao,Spain [3]IKERBASQUE Basque Foundation for Science,48013 Bilbao,Spain [4]EHU Quantum Center,University of the Basque Country UPV/EHU,Leioa,48940 Biscay,Spain

出　　处：《Frontiers of physics》2025年第1期15-63,共49页物理学前沿(英文版)

摘　　要：We review the physics of monolayer graphene in a strong magnetic field,with emphasis on highly collective states that emerge from the weakly interacting system because of correlations(emergent states).After reviewing the general properties of graphene and of electrons in a magnetic field,we give a brief introduction to the integer quantum Hall effect(IQHE)and the fractional quantum Hall effect(FQHE)in a 2D electron gas as foundation to show that monolayer graphene in a magnetic field exhibits both effects,but with properties modified by the influence of the graphene crystal.After giving an introduction to standard methods of dealing with emergent states for this system,we show that an SO(8)fermion dynamical symmetry governs the emergent degrees of freedom and that the algebraic and group properties of the dynamical symmetry provide a new view of strongly correlated states observed in monolayer graphene subject to a strong magnetic field.

关 键 词：GRAPHENE group theory dynamical symmetry emergent states Lie algebras quantum phases 

分 类 号：TB3[一般工业技术—材料科学与工程]