Haldane's Fractional Statistics and the Riemann-Roch Theorem
The new definition of fractional statistics given by Haldane can be understood in some special cases in terms of the Riemann-Roch theorem.
cond-mat↗
arXiv subjects
Dingping Li
Publications and source records attributed to Dingping Li.
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.
cond-mat↗
Hierarchical wave function, Fock cyclic condition and spin-statistics relation in the spin-singlet fractional quantum Hall effect
We construct the hierarchical wave function of the spin-singlet fractional quantum Hall effect, which turns out to satisfy Fock cyclic condition. The spin-statistics relation of the quasi-particles in the spin-singlet fractional quantum Hall effect is also discussed. Then we use particle-hole conjugation to check the wave function.
cond-mat↗
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.
cond-mat↗
Hierarchical Wave Functions and Fractional Statistics in Fractional Quantum Hall Effect on the Torus
One kind of hierarchical wave functions of Fractional Quantum Hall Effect (FQHE) on the torus are constructed. The multi-component nature of anyon wave functions and the degeneracy of FQHE on the torus are very clear reflected in this kind of wave functions. We also calculate the braid statistics of the quasiparticles in FQHE on the torus and show they fit to the picture of anyons interacting with magnetic field on the torus obtained from braid group analysis.
cond-mat↗