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Boundary conditions for bulk and edge states in Quantum Hall systems (1998)

Akkermans, E. ; Avron, J.E. ; Narevich, R. ; [et al.]

Springer

The European physical journal 1 (1998), S. 117-121

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ISSN: 1434-6036

Keywords: PACS. 73.40.Hm Quantum Hall effect (integer and fractional) -71.70.Di Landau levels - 02.60.Lj Ordinary and partial differential equations; boundary value problems

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract: For two-dimensional Schrödinger 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s100510050160

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