Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-09-26
Phys. Rev. Lett. 97, 256804 (2006)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 3 figures. New version shortened for PRL. Corrected typos
Scientific paper
10.1103/PhysRevLett.97.256804
We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction $\nu = 5/2$, with Coulomb interaction and background confining potential. We find the Moore-Read ground state is stable within a finite but narrow window in parameter space. The corresponding low-energy excitations contain a fermionic branch and a bosonic branch, with widely different velocities. A short-range repulsive potential can stabilize a charge $+e/4$ quasihole at the center, leading to a different edge excitation spectrum due to the change of boundary conditions for Majorana fermions, clearly indicating the non-Abelian nature of the quasihole.
Rezayi Edward H.
Wan Xin
Yang Kun
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