Regensburg 2004 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 6: Niederdimensionale Systeme (incl. Peierls-Übergang, organische Leiter, ...)

TT 6.2: Vortrag

Montag, 8. März 2004, 14:30–14:45, H18

Is the Quantum Hall Effect influenced by the gravitational field? — •Bernd Rosenow¹, Friedrich W. Hehl^1,2, and Yuri N. Obukhov^1,3 — ¹Institut für Theoretische Physik, Universität zu Köln, 50923 Köln, Germany — ²Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, MO 65211, USA — ³Department of Theoretical Physics, Moscow State University, 117234 Moscow, Russia

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) [1]. We corroborate this result by a microscopic calculation of the Hall conductance in the presence of a post-Newtonian gravitational field. The linear Hall resistance is not influenced by a gravitational field to order O(g/c²). However, for a field orientation parallel to the 2DEG, we find both a constant background current and a nonlinear contribution to the Hall current.

[1] H.W. Hehl, Y.N. Obukhov, and B. Rosenow, eprint cond-mat/0310281