Is the Quantum Hall Effect Influenced by the Gravitational Field?

Friedrich W. Hehl, Yuri N. Obukhov, and Bernd Rosenow
Phys. Rev. Lett. 93, 096804 – Published 26 August 2004

Abstract

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.

  • Received 13 October 2003

DOI:https://doi.org/10.1103/PhysRevLett.93.096804

©2004 American Physical Society

Authors & Affiliations

Friedrich W. Hehl1,2,*, Yuri N. Obukhov1,3,†, and Bernd Rosenow1,‡

  • 1Institut für Theoretische Physik, Universität zu Köln, 50923 Köln, Germany
  • 2Department of Physics and Astronomy, University of Missouri–Columbia, Columbia, Missouri 65211, USA
  • 3Department of Theoretical Physics, Moscow State University, 117234 Moscow, Russia

  • *Electronic address: hehl@thp.uni-koeln.de
  • Electronic address: yo@thp.uni-koeln.de
  • Electronic address: rosenow@thp.uni-koeln.de

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Issue

Vol. 93, Iss. 9 — 27 August 2004

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