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Zero Field Hall-Effekt für Teilchen mit Spin 1/2

Augsburger Schriften zur Mathematik, Physik und Informatik , Bd. 5

Marianne Leitner

ISBN 978-3-8325-0578-3
81 pages, year of publication: 2004
price: 40.50 €
Shortly after its discovery in 1980, the Integer Quantum Hall Effect (IQHE) for particles in the Euclidean plane experienced by a strong magnetic field (and thus described by a Schrödinger operator) was revealed to be of topological nature, explaining its stability w.r.t. perturbations. This description can in principle be carried over to Dirac operators. However, contrary to the classical situation, a Hall effect occurs as well for massive Dirac particles in absence of any external field. We give a physical explanation of this phenomenon and analyze new connections with geometry and topology.

Keywords:
  • Quanten-Hall-Effekt
  • Dirac-Operator
  • adiabatischer Zusammenhang
  • Differentialgeometrie
  • Spektraltheorie

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40.50 €