Quantum Hall effect

Hall resistance Rxy is quantized in units of e²/h

The quantum Hall effect demonstrates that Hall resistance Rxy becomes quantized, meaning it takes on specific, discrete values. This quantization occurs in two-dimensional electron systems under low temperatures and strong magnetic fields. The formula Rxy = h/e²ν shows that resistance steps are in units of e²/h, where ν represents an integer or fractional value.

Example

In a quantum Hall effect experiment, the Hall resistance Rxy might be observed as 25812.8 ohms when ν = 1, indicating a quantized step.

Remember this

Understanding this quantization is crucial for precision measurements in physics and has applications in defining electrical standards.

Text adapted from Wikipedia, licensed under CC BY-SA 4.0.

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