The Structure of Fractional Edge States: A Composite Fermion Approach

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 Hartree approximation for bulk filling factors $\nu =1,1/3,2/3,1/5$. For a very sharp edge of the $\nu =1$ 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 quasiclassically the number of channels $p\sim \sqrt{a/l_H}$, where $l_H$ is the magnetic length.

10 pages, RevTex, 6 uuencoded figures appended

References in corpus (6)

• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Laughlin State on Stretched and Squeezed Cylinders and Edge Excitations in Quantum Hall Effect
• Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
• Composite Edge States in the $\nu =2/3$ Fractional Quantum Hall Regime
• Angular Momentum Distribution Function of the Laughlin Droplet
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• Edge reconstructions in fractional quantum Hall systems
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• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
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• Nonlinear Dynamics of Composite Fermions in Nanostructures
• Quantum Transport in Two-Channel Fractional Quantum Hall Edges
• Non-reciprocal quantum Hall devices with driven edge magnetoplasmons in 2-dimensional materials
• Parafermions, induced edge states and domain walls in the fractional quantum Hall effect spin transitions
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• A New Class of Resonances at the Edge of the Two Dimensional Electron Gas
• Reconstruction of the $\nu =1$ Quantum Hall Edge
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• Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges
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• From Composite Fermions to Calogero-Sutherland Model: Edge of Fractional Quantum Hall Liquid and the Dimension Reduction
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