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Is the Quantum Hall Effect influenced by the gravitational field?

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arxiv cond-mat/0310281 v1 pith:ORIQPVHF submitted 2003-10-13 cond-mat gr-qc

Friedrich W. Hehl , Yuri N. Obukhov , Bernd Rosenow This is my paper · ORCID
classification cond-matgr-qc
keywords fieldgravitationalhalleffectmathbfquantumaboveapproximately
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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 $\mathbf{g}(x)$ 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 $\mathbf{g}(x)$. We corroborate this result by a microscopic calculation of the Hall conductance in the presence of a post-Newtonian gravitational field.

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  1. Landau levels in a gravitational field: The Schwarzschild spacetime case

    gr-qc 2019-09 conditional novelty 5.0 of 10

    In Schwarzschild spacetime, a weak gravitational field splits Landau levels by an amount proportional to GMm times the square root of the magnetic field, with explicit Yukawa, power-law, and relativistic corrections derived.

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