Ulm 2004 – scientific programme
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GR: Gravitation und Relativitätstheorie
GR 2: Experimentelle Tests, Quantengravitation
GR 2.10: Fachvortrag
Tuesday, March 16, 2004, 17:30–17:50, H20
Is the Quantum Hall Effect influenced by the gravitational field? — •Friedrich W. Hehl1, Yuri N. Obukhov2, and Bernd Rosenow2 — 1Univ.zu Köln and Univ.of Missouri-Columbia — 2Univ.zu Köln
Most of the experiments on the quantum Hall effect (QHE) were made at approximately the same height above sea level. A future international comparison will determine whether the gravitational field g(x) influences the QHE. In the realm of (1+2)-dimensional phenomenological macroscopic electrodynamics, the Ohm-Hall law is metric independent(‘topological’). This suggests that it does not couple to g(x). We corroborate this result by a microscopic calculation of the Hall conductance in the presence of a post-Newtonian gravitational field. See arXiv:cond-mat/0310281 and F.W.Hehl and Yu.N.Obukhov: Foundations of Classical Electrodynamics — Charge, Flux, and Metric. Birkhäuser, Boston, MA (2003).