Spontaneous Quantum Hall States in Chirally Stacked Few-Layer Graphene Systems

2010/10/19 by Fan Zhang, Jeil Jung, Gregory A. Fiete +3 · 500 citations
Materials Science · Physics and Astronomy · #Charge (physics) #Condensed matter physics #Density of states #Electron #Graphene #Graphene research and applications #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Spin (aerodynamics) #Spins #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.106.156801

published in Physical Review Letters 106(15), 156801 (American Physical Society) · 4 pages + 3 figures + 1 table, paper submitted

arxiv created 2010/10/19 · openalex publication_date 2011/04/11 · arxiv updated 2013/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Chirally stacked N-layer graphene systems with N≥2 exhibit a variety of distinct broken symmetry states in which charge density contributions from different spins and valleys are spontaneously transferred between layers. We explain how these states are distinguished by their charge, spin, and valley Hall conductivities, by their orbital magnetizations, and by their edge state properties. We argue that valley Hall states have [N/2] edge channels per spin valley.

Citations

• Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach
• Dynamical Screening and Excitonic Instability in Bilayer Graphene
• Anomalous Hall effect
• Chiral decomposition in the electronic structure of graphene multilayers
• Quantum Spin Hall Effect in Graphene
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Intrinsic and Rashba spin-orbit interactions in graphene sheets
• The electronic properties of graphene
• Berry phase effects on electronic properties

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