Interaction dependence of composite fermion effective masses

TL;DR

This paper investigates how the effective mass of composite fermions depends on the interaction potential, finding that it scales inversely with the potential's power-law exponent, using exact diagonalization methods.

Contribution

It provides a general estimation of composite fermion effective masses for various interaction potentials characterized by r^{- extalpha}, extending previous models.

Findings

Effective mass scales as the inverse of the potential's exponent, lpha^{-1}

Ground state energies and excitation gaps are consistent with the lpha^{-1} dependence

Results apply to polarized electrons in the lowest Landau level on a sphere.

Abstract

We estimate the composite fermion effective mass for a general two particle potential r^{-\alpha} using exact diagonalization for polarized electrons in the lowest Landau level on a sphere. Our data for the ground state energy at filling fraction \nu=1/2 as well as estimates of the excitation gap at \nu=1/3, 2/5 and 3/7 show that m_eff \sim \alpha^{-1}.