Symmetries of the Resistance of Mesoscopic Samples in the Quantum Hall Regime

Details Symmetries of the Resistance of Mesoscopic Samples in the Quantum Hall Regime Symmetries of the Resistance of Mesoscopic Samples in the Quantum Hall Regime

2004-07-20

arxiv.org/abs/cond-mat/0407520v1

Phys. Rev. B 69, R241305 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.69.241305

The symmetry properties of the resistance of mesoscopic samples in the quantum Hall regime are investigated. In addition to the reciprocity relation, our samples obey new symmetries, that relate resistances measured with different contact configurations. Different kinds of symmetries are identified, depending on whether the magnetic field value is such that the system is above, or below, a quantum Hall transition. Related symmetries have recently been reported for macroscopic samples in the quantum Hall regime by Ponomarenko {\it et al.} (Solid State Commun. {\bf 130}, 705 (2004)), and Karmakar {\it et al.} (Preprint cond-mat/0309694).

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