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Model for the voltage steps in the breakdown of the integer quantum Hall effect.
A M Martin1, K A Benedict, F W Sheard
1School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
Physical Review Letters
|October 4, 2003
Summary
Breakdown of the quantum Hall effect occurs via voltage steps. A new magnetoexciton model explains this, matching experimental data for electron and hole gases.
Area of Science:
- Condensed matter physics
- Quantum Hall effect phenomena
- Solid-state device physics
Background:
- The integer quantum Hall effect (IQHE) is crucial for resistance metrology.
- IQHE breakdown in resistance standard samples manifests as dissipative voltage steps.
- Understanding IQHE breakdown is essential for maintaining precise electrical standards.
Purpose of the Study:
- To propose a novel mechanism for the breakdown of the dissipationless integer quantum Hall effect.
- To explain the observed series of dissipative voltage steps during IQHE breakdown.
- To compare the proposed mechanism with existing hydrodynamic descriptions of breakdown.
Main Methods:
- Theoretical modeling of magnetoexciton generation.
- Calculation of magnetoexciton generation rate.
- Comparison of theoretical predictions with experimental measurements.
- Analysis of fluid flow past ionized impurities above a critical velocity.
Main Results:
- A proposed mechanism involving magnetoexciton generation explains IQHE breakdown.
- The calculated voltage step height aligns well with experimental data for both electron and hole gases.
- The model provides a theoretical basis for the observed dissipative steps.
Conclusions:
- The magnetoexciton generation mechanism offers a viable explanation for IQHE breakdown.
- The model's agreement with experimental data validates its predictive power.
- This work contributes to a deeper understanding of quantum transport phenomena and metrology.