Classical versus Quantum Transport near Quantum Hall Transitions

Abstract

In attempt to settle the apparent disagreements between different experimental results, transport data near quantum Hall transitions are interpreted by identifying two distinct conduction regimes. The ``classical'' regime, dominated by nearest neighbor hopping between localized conducting puddles, manifests an activated-like resistivity formula, and the quantized Hall insulator behavior. At very low temperatures $T$, or farther from the critical point, a crossover occurs to a "quantum" transport regime dominated by variable range hopping. The latter is characterized by a different T-dependence, yet the dependence on filling fraction is, coincidentally, hard to distinguish.

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References in corpus (5)

• Transport Through Quantum Melts
• A New Transport Regime in the Quantum Hall Effect
• Electronic transport and the localization length in the quantum Hall effect
• The Quantized Hall Insulator: A New Insulator in Two-Dimensions
• Hall Resistivity and Dephasing in the Quantum Hall Insulator

Cited by in corpus (4)

• Hopping conductivity in the quantum Hall effect -- revival of universal scaling
• Integer quantum Hall transition in the presence of a long-range-correlated quenched disorder
• Real-space renormalization-group approach to the integer quantum Hall effect
• Luttinger liquid behavior in tunneling through a quantum dot at zero magnetic field