Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-08-24
Phys. Rev. Lett. 106, 186802 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
Exposition simplified and shortened. Fermi velocity calculated at 3 more system sizes; parabolic fits improved. Abstract in li
Scientific paper
10.1103/PhysRevLett.106.186802
We present the first numerical computation of the neutral fermion gap, $\Delta_\psi$, in the $\nu=5/2$ quantum Hall state, which is analogous to the energy gap for a Bogoliubov-de Gennes quasiparticle in a superconductor. We find $\Delta_\psi \approx 0.027 \frac{e^2}{\epsilon \ell_0}$, comparable to the charge gap, and discuss the implications for topological quantum information processing. 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 $\xi_{\psi}={v_F}/\Delta_{\psi} \approx 1.3\, \ell_0$. We comment on the implications of our results for electronic mechanisms of superconductivity more generally.
Bonderson Parsa
Feiguin Adrian E.
Nayak Chetan
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