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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2011

Haldane Statistics in the Finite Size Entanglement Spectra of Laughlin States

Résumé

We conjecture that the counting of the levels in the orbital entanglement spectra (OES) of finite-sized 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 the 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.

Dates et versions

hal-00648630 , version 1 (06-12-2011)

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Citer

M. Hermanns, A. Chandran, N. Regnault, B. Andrei Bernevig. Haldane Statistics in the Finite Size Entanglement Spectra of Laughlin States. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2011, 84, pp.121309(R). ⟨hal-00648630⟩
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