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This is a Quantitative Study study.

October 16, 2025Open Access

Quantum Hall Resistance and Quantum Hall Plateaus from Edge State Quantization

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This work reveals a novel derivation of hall resistance and edge states in quantum hall effect, suggesting new insights into quantization.

The research establishes a direct derivation of the hall resistance from first principles, leading to established quantum hall effect results.
Using hard-wall boundary conditions on wavefunctions quantizes guiding center positions and longitudinal wave numbers, yielding discrete edge states.
The derived formulas reproduce observed quantum hall effect plateaus and align with experimental data, thus validating the approach.
This approach sheds light on the underlying physics of edge states affecting hall resistance without reliance on fitting parameters.

Pedro Pereyra (2025) studied this question.

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This work reveals a novel derivation of hall resistance and edge states in quantum hall effect, suggesting new insights into quantization.