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

A. E. Feiguin, E. Rezayi, Kun Yang, C. Nayak, and S. Das Sarma
Phys. Rev. B 79, 115322 – Published 30 March 2009

Abstract

We numerically study the spin polarization of the fractional quantum Hall state at filling factor ν=5/2. By using both exact diagonalization and the density matrix renormalization group methods on the sphere, we are able to analyze more values of partial spin polarization (in addition to fully polarized and unpolarized) than any previous studies. 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 in the interaction and change of shift. The low-energy excitation spectrum is consistent with spin-wave excitations of a fully magnetized ferromagnet.

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  • Received 3 October 2008

DOI:https://doi.org/10.1103/PhysRevB.79.115322

©2009 American Physical Society

Authors & Affiliations

A. E. Feiguin1,2, E. Rezayi3, Kun Yang4, C. Nayak1, and S. Das Sarma2

  • 1Microsoft Station Q, University of California, Santa Barbara, Santa Barbara, California 93106, USA
  • 2Department of Physics, Condensed Matter Theory Center, University of Maryland, College Park, Maryland 20742, USA
  • 3Department of Physics, California State University, Los Angeles, Los Angeles, California 90032, USA
  • 4Department of Physics and NHMFL, Florida State University, Tallahassee, Florida 32306, USA

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Issue

Vol. 79, Iss. 11 — 15 March 2009

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