Is the Composite Fermion a Dirac Particle?

2015/02/28 by Dam Thanh Son · 11 citations
Physics and Astronomy · #Composite fermion #Dirac (video compression format) #Fermion #Fractional quantum Hall effect #Quantum #Quantum Hall effect #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Quasiparticle #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1103/physrevx.5.031027

published as Phys. Rev. X 5, 031027 (2015) · 13 pages; v2: added discussion of experimental signatures, Kohn's theorem; v3: typo fixed, published version

arxiv created 2015/09/02 · openalex publication_date 2015/09/02 · arxiv updated 2015/09/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Quantum phenomena include the fractional quantum Hall effect, whose quasiparticle is the composite fermion. Theorists show that composite fermions possess different quantum numbers than the electrons or holes they were derived from.

Citations

• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Two-Dimensional Magnetotransport in the Extreme Quantum Limit
• Fractional quantum Hall effect and Chern-Simons gauge theories
• Chemical potential and quantum Hall ferromagnetism in bilayer graphene
• Two-dimensional surface state in the quantum limit of a topological insulator
• Renormalization-group approach to interacting fermions
• Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order
• Nonabelions in the fractional quantum hall effect
• Topologically massive gauge theories

Cited by

• Three-dimensional topological insulators and bosonization
• Bosonic Analogue of Dirac Composite Fermi Liquid
• Bosonization and mirror symmetry
• Approximate two-body generating Hamiltonian for the particle-hole Pfaffian wave function
• Confinement of half-quantized vortices in coherently coupled Bose-Einstein condensates: Simulating quark confinement in a QCD-like theory
• Exact quantum scale invariance of three-dimensional reduced QED theories
• Numerical study of anisotropy in a composite Fermi liquid
• Abelian Chern-Simons theory for the fractional quantum Hall effect in graphene
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Spontaneous breaking of Lorentz symmetry in (2+ε)-dimensional QED
• Critical behavior of the QED3-Gross-Neveu model: Duality and deconfined criticality