The Quantized Hall Insulator: A New Insulator in Two-Dimensions

Abstract

Quite generally, an insulator is theoretically defined by a vanishing conductivity tensor at the absolute zero of temperature. In classical insulators, such as band insulators, vanishing conductivities lead to diverging resistivities. In other insulators, in particular when a high magnetic field (B) is added, it is possible that while the magneto-resistance diverges, the Hall resistance remains finite, which is known as a Hall insulator. In this letter we demonstrate experimentally the existence of another, more exotic, insulator. This insulator, which terminates the quantum Hall effect series in a two-dimensional electron system, is characterized by a Hall resistance which is approximately quantized in the quantum unit of resistance h/e^2. This insulator is termed a quantized Hall insulator. In addition we show that for the same sample, the insulating state preceding the QHE series, at low-B, is of the HI kind.

4 pages

References in corpus (6)

• Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
• A different view of the quantum Hall plateau-to-plateau transitions
• The Nature of the Hall Insulator
• Symmetry in the insulator - quantum Hall - insulator transitions observed in a Ge/SiGe quantum well
• Duality Near Quantum Hall Transitions
• Network of edge states: random Josephson junction array description

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