2006/09/30 by Xin Wan, Kun Yang, E. H. Rezayi · 1 citation
Materials Science · Physics and Astronomy · #Abelian group #Charge (physics) #Coulomb #Electron #Fermion #Graphene research and applications #Ground state #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.97.256804
published as Phys. Rev. Lett. 97, 256804 (2006) · 4 pages, 3 figures. New version shortened for PRL. Corrected typos
openalex publication_date 2006/12/22 · arxiv created 2007/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at a filling fraction nu = 5/2, with Coulomb interaction and a 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.