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

Abstract

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).

References in corpus (3)

• Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime
• The quantized Hall effect in the presence of resistance fluctuations
• The effect of carrier density gradients on magnetotransport data measured in Hall bar geometry

Cited by in corpus (5)

• Plateau insulator transition in graphene
• Turbulence Hierarchy and Multifractality in the Integer Quantum Hall Transition
• Correlated mesoscopic fluctuations in integer quantum Hall transitions
• First-Principles Study of Integer Quantum Hall Transitions in Mesoscopic Samples
• Linear-response magnetoresistance effects in chiral systems