Intrinsic quasiparticle's spin and fractional quantum Hall effect on Riemann surfaces

We derive the braid relations of the charged anyons interacting with a magnetic field on Riemann surfaces. The braid relations are used to calculate the quasiparticle's spin in the fractional quantum Hall states on Riemann surfaces. The quasiparticle's spin is found to be topological independent and satisfies physical restrictions.Comment: 11 papes, REVTeX 3.

Hierarchical Wave Functions of Fractional Quantum Hall Effect on the Torus

One kind of the hierarchical wave functions of Fractional Quantum Hall Effect on the torus is constructed. We find that the wave functions closely relate to the wave functions of generalized Abelian Chern-Simons theory.Comment: 12 pages, PHYZZ

Strong thermal fluctuations in cuprate superconductors in magnetic field above Tc

Recent measurements of fluctuation diamagnetism in high temperature superconductors show distinct features above and below Tc, which can not be explained by simple gaussian fluctuation theory. Self consistent calculation of magnetization in layered high temperature superconductors, based on the Ginzburg-Landau-Lawrence-Doniach model and including all Landau levels is presented. The results agree well with the experimental data in wide region around Tc, including both the vortex liquid below Tc and the normal state above Tc. The gaussian fluctuation theory significantly over estimates the diamagnetism for strong fluctuations. It is demonstrated that the intersection point of magnetization curves appears in the region where the lowest Landau level contribution dominates.Comment: 5 pages, 4 figure