Session Q26: Focus Session: Computational Frontiers in Quantum Spin Systems I

11:15 AM–2:15 PM, Wednesday, February 29, 2012
Room: 257B

Sponsoring Unit: DCOMP
Chair: Anders Sandvik, Boston University

Abstract ID: BAPS.2012.MAR.Q26.2

Abstract: Q26.00002 : Scaling of entanglement entropy in the 2D Heisenberg ground state

11:51 AM–12:03 PM

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  Ann Kallin
    (University of Waterloo)

  Hyejin Ju
    (University of California, Santa Barbara)

  Paul Fendley
    (University of Virginia, Microsoft Station Q)

  Matthew Hastings
    (Duke University, Microsoft Station Q)

  Roger Melko
    (University of Waterloo)

We use a Loop-Ratio Valence Bond quantum Monte Carlo algorithm to study the scaling of the bipartite Renyi entanglement entropy in the 2D Heisenberg ground state. We uncover the surprising result that finite-size scaling supports a logarithmic correction to the entropic area law even with the absence of corners in the entangled region. In addition, examining the scaling within a single system, we observe an aspect-ratio dependent scaling term resembling the ``conformal distance'' term that appears in one-dimensional systems with conformal symmetry.

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