Phys. Rev. Lett. 97, 220402 (2006) [4 pages]Entanglement Entropy beyond the Free CaseReceived 16 June 2006; published 28 November 2006 We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement entropy scales logarithmically with the subsystem size, the system size, and the anisotropy parameter. We determine the corresponding scaling prefactors and evaluate the leading finite-size correction to the entropy. Our analytical predictions are in perfect agreement with numerical results. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.220402
DOI:
10.1103/PhysRevLett.97.220402
PACS:
03.65.Ud, 03.67.Mn, 05.50.+q, 75.10.−b
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