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

Details Spin polarization of the $ν=5/2$ quantum Hall state Spin polarization of the $ν=5/2$ quantum Hall state

2008-04-28

arxiv.org/abs/0804.4502v4

Phys. Rev. B 79, 115322 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Final version published on PRB

Scientific paper

10.1103/PhysRevB.79.115322

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.

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