Fractional-quantum-Hall edge electrons and Fermi statistics

2003/01/06 by U. Zülicke, U. Zuelicke, J. J. Palacios +1 · 6 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.67.045303

published as Phys. Rev. B 67, 045303 (2003) · 9 pages, 1 figure, RevTex4

openalex publication_date 2003/01/06 · arxiv created 2003/01/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We address the quantum statistics of electrons created in the low-energy edge-state Hilbert space sector of incompressible fractional-quantum-Hall states, considering the possibility that they may not satisfy Fermi statistics. We argue that this property is not a priori obvious, and present numerical evidence based on finite-size exact-diagonalization calculations that it does not hold in general. We discuss different possible forms for the expression for the electron creation operator in terms of edge boson fields and show that none are consistent with our numerical results on finite-size \ensuremathν=2/5 states with short-range electron-electron interactions. Finally, we discuss the current body of experimental results on tunneling into quantum-Hall edges in the context of this result.

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