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2008

The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian

Storni, M., Morf, R. H., Sarma, S. Das

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Results from exact diagonalization show that the spin-polarized Coulomb ground state at nu=5/2 is adiabatically connected with the Moore-Read wave function for systems with up to Nel = 16 electrons on the surface of a sphere.

Varying the Haldane pseudopotentials v1 and v3, keeping all others at their value for Coulomb interaction, energy gap and (v1,v3)-dependent ground state overlap with the Moore-Read state form two ridges whose peak positions and extent in the (v1,v3)-plane essentially coincide.
Thus, the physics of the Coulomb ground state at nu=5/2 is indeed captured by the Moore-Read state and that non-Abelian statistics can be expected under experimental conditions.
Such adiabatic connection is not observed at nu=1/2, unless the width of the interface wave function and/or Landau level mixing effects are sufficiently large.

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F. D. M. Haldane, Phys. Rev. Lett. 51
1985
Earlier work this paper cites.
R. Willett, et al
1987
Earlier work this paper cites.
N. d’Ambrumenil and R. Morf, Phys. Rev. B 40
1989
Earlier work this paper cites.
J. P. Eisenstein, et al
1990
Earlier work this paper cites.
G. Moore and N. Read, Nucl. Phys. B 360
1991
Earlier work this paper cites.
M. Greiter, X.-G. Wen, and F. Wilczek, Phys. Rev. Lett. 66
1992
Earlier work this paper cites.
X.-G. Wen and A. Zee, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
X.-G. Wen, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
Song He, S. Das Sarma, X. C. Xie, Phys. Rev. B 47
1993
Earlier work this paper cites.

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