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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 nu = 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.|
|Citation:||Hermanns, M, Chandran, A, Regnault, N, Bernevig, B Andrei. (2011). Haldane statistics in the finite-size entanglement spectra of 1/m fractional quantum Hall states. PHYSICAL REVIEW B, 84 (10.1103/PhysRevB.84.121309|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PHYSICAL REVIEW B|
|Version:||Final published version. Article is made available in OAR by the publisher's permission or policy.|
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