Time-controlled charge injection in a quantum Hall fluid

Time-controlled charge injection in a quantum Hall fluid

Incompressible Quantum Hall Fluid

After review the quantum Hall effect on the fuzzy two-sphere S2 and Zhang and Hu’s 4-sphere S4, the incompressible quantum Hall fluid on S2, S4 and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on S2 are also given out. The ADHM construction on S4 is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable ...

Fractional Charge in Quantum Hall effect

In 1976 Jackiw and Rebbi found 1/2 of a fermion number by using Dirac equation. Schrieffer, in several proposals made an effort to suggest that there is a fractional charge. The calculations of Peierls distortion, Berry’s phase and classical action were presented to accomodate the fractional charge in non-relativistic theory. Laughlin used the antisymmetry to define the charge density per unit ...

A Quantum Hall Fluid of Vortices

In this note we demonstrate that vortices in a non-relativistic Chern-Simons theory form a quantum Hall fluid. We show that the vortex dynamics is controlled by the matrix mechanics previously proposed by Polychronakos as a description of the quantum Hall droplet. As the number of vortices becomes large, they fill the plane and a hydrodynamic treatment becomes possible, resulting in the non-com...

The Quantum Hall Effect: Spin-Charge Locking

In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to correct measurement of h/e .Therefore the quantized Hall effect was further ...