Effective theories of the fractional quantum Hall effect: Hierarchy construction

1990/11/01 by B. Blok, Xiao-Gang Wen · 16 citations
Physics and Astronomy · Engineering · #Quantum and electron transport phenomena #Advancements in Semiconductor Devices and Circuit Design #Low-power high-performance VLSI design #Fractional quantum Hall effect #Quasiparticle #Physics #Quantum Hall effect #Quantum mechanics #Hierarchy #Landau quantization #Composite fermion #Condensed matter physics #Quantum spin Hall effect #Electron #Political science #Law

paper · doi:10.1103/physrevb.42.8145

openalex publication_date 1990/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/07

Abstract

The effective theories for the hierarchical fractional quantum Hall effect (FQHE) are proposed. We obtain the quantum numbers of the quasiparticles and the structure of the edge excitations for the general hierarchical FQHE state. It is shown that at the filling fractions \ensuremathν=k/(2km\ifmmode±\else\textpm\fi1) the Jain states and the hierarchical FQHE states give rise to the same quasiparticles and edge excitations and have the same effective theories (in the dual form). This suggests that these FQHE states are equivalent despite having been obtained from two different schemes.

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