Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Entanglement Entropy of One-dimensional Gapped Spin Chains
Takaaki HiranoYasuhiro Hatsugai
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2007 Volume 76 Issue 7 Pages 074603

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Abstract
We investigate the entanglement entropy (EE) of gapped S=1 and S=1⁄2 spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the S=1⁄2 dimerized Heisenberg chain, the EE of the sufficiently long chain is essentially explained by the localized S=1⁄2 effective spins on the boundaries. As for S=1, the effective spins are also S=1⁄2 causing a Kennedy triplet that yields a lower bound for the EE. In this case, the residual entanglement reduces substantially by a continuous deformation of the Heisenberg model to that of the AKLT Hamiltonian.
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© The Physical Society of Japan 2007
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