On the Non-invasive Measurement of the Intrinsic Quantum Hall Effect

Details On the Non-invasive Measurement of the Intrinsic Quantum Hall Effect On the Non-invasive Measurement of the Intrinsic Quantum Hall Effect

1994-05-31

arxiv.org/abs/cond-mat/9405090v1

Physics

Condensed Matter

16 pages LaTex, 2 post-script figures available on request

Scientific paper

10.1103/PhysRevLett.72.3698

With a model calculation, we demonstrate that a non-invasive measurement of intrinsic quantum Hall effect defined by the local chemical potential in a ballistic quantum wire can be achieved with the aid of a pair of voltage leads which are separated by potential barriers from the wire. B\"uttiker's formula is used to determine the chemical potential being measured and is shown to reduce exactly to the local chemical potential in the limit of strong potential confinement in the voltage leads. Conditions for quantisation of Hall resistance and measuring local chemical potential are given.

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