The persistent Hall voltage and current in an isolated annulus in a strong perpendicular magnetic field, at filling factor ν = 1/q, and in the presence of a weak constriction is obtained as a function of temperature, and flux piercing the annulus. A thermodynamic Hall conductance is found which has a universal value even with back scattering at the constriction.

The two-dimensional quantum ferromagnet filled with a liquid of skyrmions is studied theoretically in the context of the quantum Hall effect near electronic filling factor ν = 1. A cross-over between the classical ferromagnetic phase at ν = 1 and a classical paramagnetic phase at ν 6= 1 is obtained, which is consistent with recent Knight-shift measurements. A new collective mode associated with...

The topological solitons, or “skyrmions”, in a planar ferromagnet experience a Magnus force proportional to the product of their velocity and the surrounding magnetization. It has been suggested that the charged quasiparticles near filling factor ν = 1 in the GaAs quantum Hall effect are skyrmions. If so, we might expect this spin-induced Magnus force to act on the quasiparticles in addition to...

Using the correlation function of chiral vertex operators of the Coulomb gas model, we find the Laughlin wavefunctions of quantum Hall effect, with filling factor ν = 1/m, on Riemann sufaces with Poincare metric. The same is done for quasihole wavefunctions. We also discuss their plasma analogy. e-mail:[email protected] e-mail:[email protected]