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Here, we shall just present a brief introduction to this approach. Usually, experiments and metrological applications of the quantum Hall effect involve rectangular-shaped samples schematized on Fig. 6. Current is injected along the long axis of the Hall bar, and voltage probes located on the sides of the sample are used to measure longitudinal and Hall resistivities. In such systems, there is a strong but smooth lateral confining potential for electron approaching outer boundaries. The corresponding semi-classical spectrum for non-interacting electron has the shape shown on Fig.

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