Hierarchical wave function, Fock cyclic condition and spin-statistics relation in the spin-singlet fractional quantum Hall effect

TL;DR

This paper constructs a hierarchical wave function for the spin-singlet fractional quantum Hall effect, demonstrating its compliance with Fock cyclic condition and exploring the spin-statistics relation of quasi-particles.

Contribution

It introduces a new hierarchical wave function for the spin-singlet fractional quantum Hall effect and analyzes its properties and implications.

Findings

Wave function satisfies Fock cyclic condition

Spin-statistics relation of quasi-particles discussed

Wave function validated via particle-hole conjugation

Abstract

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.