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 influences the QHE. In the realm of ()-dimensional phenomenological macroscopic electrodynamics, the Ohm-Hall law is metric independent (“topological”). This suggests that it does not couple to . 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