  
|
    
|
The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 1 (1998) pp 117-121
Boundary conditions for bulk and edge states in Quantum Hall systems
E. Akkermans (1), J.E. Avron (1), R. Narevich (1), R. Seiler (2)
(1) Department of Physics, Technion, 32000 Haifa, Israel
(2) Fachbereich Mathematik, TU-Berlin, Germany
Received: 20 August 1997 / Accepted: 9 October 1997
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.
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
Online publication: February 4, 1998
helpdesk@link.springer.de
© EDP Sciences, Springer-Verlag 1998