Non-Abelian fractional quantum Hall state at 3/7-filled Landau level

2020/06/30 by W. N. Faugno, J. K. Jain, Ajit C. Balram
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Abelian group #Advancements in Semiconductor Devices and Circuit Design #Algorithm #Combinatorics #Computer science #Electron #Integer (computer science) #Mathematics #Physics #Quantum Computing Algorithms and Architecture #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #State (computer science) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevresearch.2.033223

published as Phys. Rev. Research 2, 033223 (2020)

openalex created_date 2020/06/05 · openalex publication_date 2020/08/07 · arxiv created 2020/08/12 · arxiv updated 2020/08/19 · openalex updated_date 2026/08/05

Abstract

The authors propose a plausible candidate for fractional quantum Hall effect at \ensuremathν=2+3/7 in the form of electrons as bound states of fictitious partons, which themselves occupy integer quantum Hall states.

Citations

• Spontaneous polarization of composite fermions in then=1Landau level of graphene
• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Effective theories of the fractional quantum Hall effect: Hierarchy construction
• Effective theories of the fractional quantum Hall effect at generic filling fractions
• THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTS
• Activation gaps for the fractional quantum Hall effect: realistic treatment of transverse thickness
• Composite fermions in a negative effective magnetic field: A Monte Carlo study
• Non-Abelian anyons and topological quantum computation
• Nonabelions in the fractional quantum hall effect
• Nature of composite fermions and the role of particle-hole symmetry: A microscopic account
• Observed quantization of anyonic heat flow
• The enigma of theν=2+3/8fractional quantum Hall effect
• Quantum Hall physics: Hierarchies and conformal field theory techniques
• Conformal Field Theory