Boundary effects in the critical scaling of entanglement entropy in 1D systems

We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary conditions induce an alternating term in both the energy density and the entanglement entropy which are approximately proportiona...

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Veröffentlicht in:Physical review letters 2006-03, Vol.96 (10), p.100603-100603, Article 100603
Hauptverfasser: Laflorencie, Nicolas, Sørensen, Erik S, Chang, Ming-Shyang, Affleck, Ian
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Sprache:eng
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Zusammenfassung:We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary conditions induce an alternating term in both the energy density and the entanglement entropy which are approximately proportional, decaying away from the boundary with a power law. The power varies with anisotropy along the critical line and is corrected by a logarithmic factor, which we calculate analytically, at the isotropic point. A heuristic resonating valence bond explanation is suggested.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.96.100603