arXiv Analytics

Sign in

arXiv:cond-mat/9612063AbstractReferencesReviewsResources

Boundary Conditions for Bulk and Edge States in Quantum Hall Systems

E. Akkermans, J. E. Avron, R. Narevich, R. Seiler

Published 1996-12-06Version 1

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.

Related articles: Most relevant | Search more
arXiv:0806.2429 [cond-mat.mes-hall] (Published 2008-06-15)
Edge states for the n=0 Laudau level in graphene
arXiv:1303.7104 [cond-mat.mes-hall] (Published 2013-03-28, updated 2014-02-04)
Edge states and topological properties of electrons on the bismuth on silicon surface with giant spin-orbit coupling
arXiv:0805.3435 [cond-mat.mes-hall] (Published 2008-05-22)
Relevance of multiple-quasiparticle tunneling between edge states at ν =p/(2np+1)