Entanglement scaling in two-dimensional gapless systems

Details Entanglement scaling in two-dimensional gapless systems Entanglement scaling in two-dimensional gapless systems

2011-12-19

arxiv.org/abs/1112.4474v3

Phys. Rev. B 85, 165121 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures

Scientific paper

10.1103/PhysRevB.85.165121

We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with N\'eel order, a free Dirac fermion in the {\pi}-flux phase, and the nearest-neighbor resonating-valence-bond wavefunction. 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 upon 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.

Affiliated with

Also associated with

No associations

Rating

Entanglement scaling in two-dimensional gapless systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entanglement scaling in two-dimensional gapless systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement scaling in two-dimensional gapless systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-53635