Structure of fractional edge states: A composite-fermion approach

1995/02/03 by Dmitri B. Chklovskii · 5 citations
Mathematics · Physics and Astronomy · #Composite fermion #Composite number #Condensed matter physics #Density of states #Distribution (mathematics) #Electron #Enhanced Data Rates for GSM Evolution #Fermi gas #Fermion #Fractional quantum Hall effect #Heavy fermion #Magnetic properties of thin films #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #cond-mat

paper · pdf · doi:10.1103/physrevb.51.9895

10 pages, RevTex, 6 uuencoded figures appended

arxiv created 1995/02/03 · openalex publication_date 1995/04/15 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05

Abstract

I study the structure of the two-dimensional electron-gas edge in the quantum Hall regime using the composite-fermion approach. The electron density distribution and the composite-fermion energy spectrum are obtained numerically in the Hartree approximation for bulk filling factors \ensuremathν=1,1/3,2/3,1/5. For a very sharp edge of the \ensuremathν =1 state the one-electron picture is valid. As the edge width a is increased the density distribution shows features related to the fractional states and new fractional channels appear in pairs. For a very smooth edge I find, by quasiclassical means, the number of channels p\ensuremath∼ \ensuremath\surda/l_H , where l_H is the magnetic length.

Citations

• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Fractional quantum Hall effect and Chern-Simons gauge theories
• THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTS
• Sharp and smooth boundaries of quantum Hall liquids

Cited by

• Phase diagram of the weak-magnetic-field quantum Hall transition quantified from classical percolation
• Effect of the boundary shape in the effective theory of fractional quantum Hall edges
• Parafermions, induced edge states, and domain walls in fractional quantum Hall effect spin transitions
• Edge reconstructions in fractional quantum Hall systems
• New Class of Resonances at the Edge of the Two-Dimensional Electron Gas