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Model for dissipative conductance in fractional quantum Hall states
N d'Ambrumenil1, B I Halperin, R H Morf
1Physics Department, University of Warwick, Coventry CV4 7AL, United Kingdom.
Physical Review Letters
|April 27, 2011
Summary
We developed a model for dissipative transport in quantum Hall systems, explaining the observed activated behavior and its temperature dependence. This model helps diagnose tunneling effects in experimental samples.
Area of Science:
- Condensed Matter Physics
- Quantum Hall Effect
Background:
- Dissipative transport is crucial for understanding quantum Hall systems.
- Impurities create excitations with effective potentials, influencing transport properties.
Purpose of the Study:
- To model dissipative transport in the fractional quantum Hall regime.
- To explain the observed activated behavior and its characteristic temperature range.
- To identify a diagnostic tool for assessing tunneling in quantum Hall systems.
Main Methods:
- Developed a theoretical model for dissipative transport.
- Incorporated tunneling through saddle points of effective potentials for excitations.
- Analyzed Arrhenius plots to identify key parameters.
Main Results:
- Predicted the temperature range for activated behavior in quantum Hall systems.
- Explained the factor of two temperature dependence in both integer and fractional regimes.
- Identified a ratio of gap to inflection point temperature as a diagnostic for tunneling.
Conclusions:
- The model successfully explains activated behavior in quantum Hall systems.
- Tunneling through saddle points is a key mechanism for dissipative transport.
- The proposed diagnostic ratio is valuable for characterizing real experimental samples.
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