Numerical calculation of the neutral fermion gap at the ν=5/2 fractional quantum Hall state.
Phys Rev Lett
; 106(18): 186802, 2011 May 06.
Article
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| MEDLINE
| ID: mdl-21635117
We present the first numerical computation of the neutral fermion gap, Δ(F), in the ν=5/2 quantum Hall state, which is analogous to the energy gap for a Bogoliubov-de Gennes quasiparticle in a superconductor. We find Δ(F)≈0.027e(2)/εâ(0), comparable to the charge gap. We also deduce an effective Fermi velocity v(F) for neutral fermions from the low-energy spectra for odd numbers of electrons, and thereby obtain a correlation length ξ(F)=v(F)/Δ(F)≈1.3â(0). We comment on implications for experiments, topological quantum information processing, and electronic mechanisms of superconductivity.
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MEDLINE
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Revista:
Phys Rev Lett
Año:
2011
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Article
País de afiliación:
Estados Unidos
Pais de publicación:
Estados Unidos