Spinful Composite Fermions in a Negative Effective Field

Abstract

In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions ν= 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations, depending on how many spin-up or spin-down composite fermion Landau levels are occupied. We calculate the energy of the possible composite fermion wavefunctions and we predict transitions between ground states of different spin polarizations as the ratio of Zeeman energy to Coulomb energy is varied. Previously, several experiments have observed such transitions between states of differing spin polarization and we make direct comparison of our predictions to these experiments. For more detailed comparison between theory and experiment, we also include finite-thickness effects in our calculations. We find reasonable qualitative agreement between the experiments and composite fermion theory. Finally, we consider composite fermion states at filling factors ν= 2+2/3, 2+3/5, and 2+4/7. The latter two cases we predict to be spin polarized even at zero Zeeman energy.

17 pages, 5 figures, 4 tables. (revision: incorporated referee suggestions, note added, updated references)

References in corpus (4)

• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study
• Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function
• Absorption in the fractional quantum Hall regime: trion dichroism and spin polarization

Cited by in corpus (6)

• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Abelian and Non-Abelian States in $\nu =2/3$ Bilayer Fractional Quantum Hall Systems
• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized $\nu =2/3$ Fractional Quantum Hall Effect
• Determination of the Fermi Contour and Spin-polarization of $\nu =3/2$ Composite Fermions via Ballistic Commensurability Measurements
• Spin transition in the fractional quantum Hall regime: Effect of extent of the wave function