Fluctuating Hall resistance defeats the quantized Hall insulator

Fluctuating Hall resistance defeats the quantized Hall in - sulator

– Using the Chalker-Coddington network model as a drastically simplified, but universal model of integer quantum Hall physics, we investigate the plateau-to-insulator transition at strong magnetic field by means of a real-space renormalization approach. Our results suggest that for a fully quantum coherent situation, the quantized Hall insulator with RH ≈ h/e 2 is observed up to RL ∼ 25h/e 2 wh...

The Quantized Hall Effect

The Quantized Hall Effect

This variation on a classical phenomenon makes it possible, even in an irregular sample, to measure fundamental constants with an accuracy rivaling that of the most precise measurements yet made F ew areas of modern science have effect, a planar sample of conductive been studied as intensively as the physics of semiconducting mate-material is placed in a magnetic field and thus obtain quantitie...

Topological insulator: a new quantized spin Hall resistance robust to dephasing.

The dephasing effect on the quantum spin Hall effect (QSHE) is studied. Without dephasing, the longitudinal resistance in a QSHE system exhibits the quantum plateaus. We find that these quantum plateaus are robust against the normal dephasing but fragile with the spin dephasing. Thus, these quantum plateaus survive only in mesoscopic samples. Moreover, the longitudinal resistance increases line...

Equivalent Electrical Circuit Representations of AC Quantized Hall Resistance Standards

University of Maryland, College Park, MD 20742-4111 We use equivalent electrical circuits to analyze the effects of large parasitic impedances existing in all sample probes on four-terminal-pair measurements of the ac quantized Hall resistance RH. The circuit components include the externally measurable parasitic capacitances, inductances, lead resistances, and leakage resistances of ac quantiz...