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Conductivity tensor of striped quantum hall phases
1Institut fur Theoretische Physik, Universitat zu Koln, Zulpicher Strasse 77, 50937 Koln, Germany.
Physical Review Letters
|October 6, 2000
Summary
We investigate transport properties in pinned striped quantum Hall phases. Our findings reveal a general semicircle law for conductivity, applicable even with defects.
Area of Science:
- Condensed matter physics
- Quantum Hall effect
- Transport phenomena
Background:
- Striped quantum Hall phases exhibit complex transport behaviors.
- Understanding these properties is crucial for condensed matter physics.
- Previous models often assumed perfect stripe structures.
Purpose of the Study:
- To investigate the transport properties of pinned striped quantum Hall phases.
- To determine the general behavior of the macroscopic conductivity tensor.
- To assess the impact of defects on these properties.
Main Methods:
- Theoretical analysis of pinned striped quantum Hall phases.
- Derivation of the macroscopic conductivity tensor.
- Examination of different stripe phases (smectic and nematic).
Main Results:
- The macroscopic conductivity tensor satisfies a semicircle law under general assumptions.
- This semicircle law holds for both smectic and nematic stripe phases.
- The result is independent of topological and orientational defects like dislocations and grain boundaries.
Conclusions:
- A general semicircle law governs the conductivity of pinned striped quantum Hall phases.
- The presence of defects does not invalidate this fundamental transport property.
- This work provides a theoretical basis for experimental observations, including a previously derived product rule for resistivity.
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