Hall resistance Rxy is quantized in units of e²/h
Image: Ioan Sameli, CC BY-SA 2.0, via Wikimedia Commons
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.
Understanding this quantization is crucial for precision measurements in physics and has applications in defining electrical standards.
Related concepts
Fractional quantum Hall effect
Hall conductance quantized at fractional values of e^2/h
Quantum tunnelling
Quantum tunneling allows particles to pass through barriers they cannot classically surmount
Quantum decoherence
Quantum decoherence explains wavefunction collapse through environmental interaction
the Pauli exclusion principle forbids
Pauli exclusion principle forbids two identical fermions from occupying the same quantum state
universality means in phase transitions
Universality in phase transitions implies identical critical exponents across diverse systems
Casimir effect
Casimir effect arises from quantum vacuum fluctuations
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