Effective theories of the fractional quantum Hall effect at generic filling fractions

1990/11/01 by B. Blok, Xiao-Gang Wen · 7 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 #Condensed matter physics #Quantum mechanics #Composite fermion #Mathematical physics #Quantum spin Hall effect #Electron #Superconductivity

paper · doi:10.1103/physrevb.42.8133

openalex publication_date 1990/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/25

Abstract

We propose effective theories that describe the fractional quantum Hall effect (FQHE) states for the generic filling fractions \ensuremathν=1/ tsum_I (1/m_I) where m_I are integers. The theories describe the microscopic FQHE states proposed by Jain. We calculate charges and statistics of quasiparticles in these states. The structure of the edge states is derived directly from the underlying effective theory in the bulk. Our results are shown to be consistent with those obtained from the microscopic theory.

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