Weakly disordered bilayer quantum Hall systems at filling factor ν = 1 show spontaneous interlayer phase coherence if the layers are sufficiently close together. We study the collective modes in the system, the current-voltage characteristics and their evolution with an in-plane magnetic field in the phase-coherent regime.

I discuss in an elementary and self-contained way the nature of the currentcarrying state in Hall superfluids. The explicit connection of fractional charge and rationality of the filling fraction ν with quantization of angular momentum, and the discussion of the preferred velocity profile for bulk current flows may be new; the latter might provide an interesting experimental handle on a fundame...

In this paper, we discuss the behavior of conformal field theories interacting at a single point. The edge states of the Quantum Hall Effect (Q.H.E) system give rise to a particular representation of a chiral Kac-Moody current algebra. We show that in the case of Q.H.E systems interacting at one point we obtain a “twisted” representation of the current algebra. The condition for stationarity of...

The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on the bias voltage applied to the neighboring quantum point contact, because of the Luttinger liquid physics which describes the fractional Hall fluid. Next, ...

Isolated current sensing is fundamental in several contexts, including power electronics, automotive, and smart buildings. In order to meet the requirements of modern applications, sensors should feature ever larger bandwidth dynamic range, as well reduced consumption dimension. Among available technologies, Hall-based have gained an increased popularity owing their advantages terms size, econo...