A study on the universality of the magnetic-field-induced phase transitions in the two-dimensional electron system in an AlGaAs/GaAs heterostructure

Abstract

Plateau-plateau (P-P) and insulator-quantum Hall conductor (I-QH) transitions are observed in the two-dimensional electron system in an AlGaAs/GaAs heterostructure. At high fields, the critical conductivities are not of the expected universal values and the temperature-dependence of the width of the P-P transition does not follow the universal scaling. However, the semicircle law still holds, and universal scaling behavior was found in the P-P transition after mapping it to the I-QH transition by the Landau-level addition transformation. We pointed out that in order to get a correct critical exponent, it is essential that the scaling analysis must be performed near the critical point. And with proper analysis, we found that the P-P transition and the insulator quantum Hall conductor transitions are of the same universal class.

arXiv comment11 pages, 3 figures

References in corpus (5)

• A New Transport Regime in the Quantum Hall Effect
• A different view of the quantum Hall plateau-to-plateau transitions
• The Quantized Hall Insulator: A New Insulator in Two-Dimensions
• Probing the plateau-insulator quantum phase transition in the quantum Hall regime
• Duality in the Quantum Hall Effect - the Role of Electron Spin

Cited by in corpus (7)

• Observation of the quantized Hall insulator in the quantum critical regime of the two-dimensional electron gas
• Modular symmetry and temperature flow of conductivities in quantum Hall systems with varying Zeeman energy
• An experimental study on $\Gamma$(2) modular symmetry in the quantum Hall system with a small spin-splitting
• Modular Symmetry and Fractional Charges in N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• Probing temperature-driven flow lines in a gated two-dimensional electron gas with tunable spin-splitting
• Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect
• An RG potential for the quantum Hall effects