Hall state quantization in a rotating frame
Mesoscale and Nanoscale Physics
2007-05-23 v3
Abstract
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.
Cite
@article{arxiv.cond-mat/0004339,
title = {Hall state quantization in a rotating frame},
author = {Uwe R. Fischer and Nils Schopohl},
journal= {arXiv preprint arXiv:cond-mat/0004339},
year = {2007}
}
Comments
6 pages, accepted for publication in Europhysics Letters