Composite Fermion states on the torus

TL;DR

This paper extends the composite fermion framework to torus geometry and validates it by comparing with exact diagonalization results for various interactions in bosonic and fermionic systems.

Contribution

The authors develop a composite fermion construction specifically for the torus geometry, a significant extension of previous work on other geometries.

Findings

High overlap between composite fermion states and exact ground states

Validation for both Coulomb and Haldane pseudopotential interactions

Applicable to both bosonic and fermionic systems

Abstract

We extend the composite fermion construction to the torus geometry. We verify the validity of our construction by computing the overlap of the composite fermion state to the exact diagonalization ground state of both Coulomb interaction and Haldane-pseudopotential interaction V_0 (V_1) for bosonic (fermionic) states.