Spin polarization of the $\nu =5/2$ quantum Hall state

Abstract

We report on results of numerical studies of the spin polarization of the half filled second Landau level, which corresponds to the fractional quantum Hall state at filling factor $\nu =5/2$. Our studies are performed using both exact diagonalization and Density Matrix Renormalization Group (DMRG) on the sphere. We find that for the Coulomb interaction the exact finite-system ground state is fully polarized, for shifts corresponding to both the Moore-Read Pfaffian state and its particle-hole conjugate (anti-Pfaffian). This result is found to be robust against small variations of the interaction. The low-energy excitation spectrum is consistent with spin-wave excitations of a fully-magnetized ferromagnet.

Final version published on PRB

References in corpus (6)

• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Fractional Quantum Hall Effect in the Second Landau Level
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Paired composite fermion wavefunctions
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Magnetization and Spin Excitations of Non-Abelian Quantum Hall States

Cited by in corpus (2)

• The non-Abelian Interferometer
• Domain walls, fusion rules and conformal field theory in the quantum Hall regime