Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-09-09
Phys. Rev. B 85, 045119 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
13 pages, 8 figures, published version on PRB
Scientific paper
10.1103/PhysRevB.85.045119
We present a detailed analysis of bi-partite entanglement in the non-Abelian Moore-Read fractional quantum Hall state of bosons and fermions on the torus. In particular, we show that the entanglement spectra can be decomposed into intricate combinations of different sectors of the conformal field theory describing the edge physics, and that the edge level counting and tower structure can be microscopically understood by considering the vicinity of the thin-torus limit. We also find that the boundary entropy density of the Moore-Read state is markedly higher than in the Laughlin states investigated so far. Despite the torus geometry being somewhat more involved than in the sphere geometry, our analysis and insights may prove useful when adopting entanglement probes to other systems that are more easily studied with periodic boundary conditions, such as fractional Chern insulators and lattice problems in general.
Bergholtz Emil J.
Fan Heng
Laeuchli Andreas M.
Liu Zhao
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