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Conductivity tensor of striped quantum hall phases

von Oppen F¹, Halperin, Stern

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).

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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.