Journal
PHYSICAL REVIEW B
Volume 85, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.85.165121
Keywords
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Funding
- Natural Sciences and Engineering Research Council of Canada
- US National Science Foundation [DMR/MPS-0704666, DMR/MPS1006549]
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We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with Neel order, a free Dirac fermion in the pi-flux phase, and the nearest-neighbor resonating-valence-bond wave function. For these models, we show that the entanglement entropy between cylindrical regions of length x and L - x, extending around a torus of length L, depends on the dimensionless ratio x/L. This can be well approximated on finite-size lattices by a function ln (sin(pi x/L)), akin to the familiar chord-length dependence in one dimension. We provide evidence, however, that the precise form of this bulk-dependent contribution is a more general function in the 2D thermodynamic limit.
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