Hall state quantization in a rotating frame

Details Hall state quantization in a rotating frame Hall state quantization in a rotating frame

2000-04-19

arxiv.org/abs/cond-mat/0004339v3

Europhys. Lett., Vol. 54, pp. 502-507 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2001-00273-1

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.

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