Publication: Entanglement scaling in two-dimensional gapless systems
All || By Area || By Year| Title | Entanglement scaling in two-dimensional gapless systems | Authors/Editors* | H Ju, AB Kallin, P Fendley, MB Hastings, RG Melko |
|---|---|
| Where published* | Physical Review B |
| How published* | Journal |
| Year* | 2012 |
| Volume | 85 |
| Number | 16 |
| Pages | 165121 |
| Publisher | |
| Keywords | |
| Link | http://link.aps.org/doi/10.1103/PhysRevB.85.165121 |
| Abstract |
We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with Néel order, a free Dirac fermion in the Ï-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 Lâx, 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(Ïx/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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