Boundary Conditions for Bulk and Edge States in Quantum Hall Systems

1996/12/06 by E. Akkermans, J. E. Avron, Akkermans, E. +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/9612063

4 pages. Latex, 1 figure.

arxiv created 1996/12/06 · arxiv updated 2009/11/30

Abstract

For two dimensional Schroedinger Hamiltonians we formulate boundary conditions that split the Hilbert space according to the chirality of the eigenstates on the boundary. With magnetic fields, and in particular, for Quantum Hall Systems, this splitting corresponds to edge and bulk states. Applications to the integer and fractional Hall effect and some open problems are described.

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