Hall state quantization in a rotating frame
Institut für Theoretische Physik
Auf der Morgenstelle 14, D-72076 Tübingen, Germany
Accepted: 26 February 2001
We derive electromagnetomotive force fields for charged particles moving in a rotating Hall sample, satisfying a twofold U(1) gauge invariance principle. It is then argued that the phase coherence property of quantization of the line integral of total collective particle momentum into multiples of Planck's quantum of action is solely responsible for quantization in the Hall state. As a consequence, the height of the Hall quantization steps should remain invariant in a rapidly rotating Hall probe. Quantum Hall particle conductivities do not depend on charge and mass of the electron, and are quantized in units of the inverse of Planck's action quantum.
PACS: 73.40.Hm – Quantum Hall effect (integer and fractional) / 73.50.-h – Electronic transport phenomena in thin films
© EDP Sciences, 2001