Haldane statistics in the finite-size entanglement spectra of 1/m fractional quantum Hall states

M. Hermanns, A. Chandran, N. Regnault, B. Andrei Bernevig

Research output: Contribution to journalArticle

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Abstract

We conjecture that the counting of the levels in the orbital entanglement spectra (OES) of finite-size Laughlin fractional quantum Hall (FQH) droplets at filling ν=1/m is described by the Haldane statistics of particles in a box of finite size. This principle explains the observed deviations of the OES counting from the edge-mode conformal field theory counting and directly provides us with a topological number of FQH states inaccessible in the thermodynamic limit-the boson compactification radius. It also suggests that the entanglement gap in the Coulomb spectrum in the conformal limit protects a universal quantity-the statistics of the state. We support our conjecture with ample numerical checks.

Original languageEnglish (US)
Article number121309
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume84
Issue number12
DOIs
StatePublished - Sep 29 2011

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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