https://doi.org/10.1007/s100510050160
Boundary conditions for bulk and edge states in Quantum Hall systems
1
Department of Physics,
Technion, 32000 Haifa, Israel
2
Fachbereich Mathematik, TU-Berlin, Germany
Corresponding author: a eric@physics.technion.ac.il
Received:
20
August
1997
Accepted:
9
October
1997
Published online: 15 January 1998
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
