Describe the variation of Hall resistance Pxy and longitudinal resista

Question

Describe the variation of Hall resistance Pxy and longitudinal resistance px with magnetic field in integer quantum Hall effect and fractional quantum Hall effect. Can these phenomena be explained using free electron theory?

05 May 2025

Answer :

Word Count : 241

In the Integer Quantum Hall Effect (IQHE), the Hall resistance, RxyR_{xy}, exhibits plateaus as the magnetic field, BB, increases. These plateaus occur at quantized values of RxyR_{xy}, where the Hall resistance is given by Rxy=h/(e2ν)R_{xy} = h/(e^2 \nu), with ν\nu _____ ___ _________ __________ _________ ___.
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