Topological phases and topological entropy of two-dimensional systems with finite correlation length

Details Topological phases and topological entropy of two-dimensional systems with finite correlation length Topological phases and topological entropy of two-dimensional systems with finite correlation length

2007-09-05

arxiv.org/abs/0709.0729v3

Phys. Rev. B 76, 224421 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 4 figures, published version

Scientific paper

10.1103/PhysRevB.76.224421

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to the von Neumann entropy, could be defined to compute the topological entropy. We use our methods to compute the entanglement entropy for the ground state wave function of a quantum eight-vertex model in its topological phase, and show that a finite correlation length adds corrections of the same order as the topological entropy which come from sharp features of the boundary of the region under study. We also calculate the topological entropy for the ground state of the quantum dimer model on a triangular lattice by using a mapping to a loop model. The topological entropy of the state is determined by loop configurations with a non-trivial winding number around the region under study. Finally, we consider extensions of the Kitaev wave function, which incorporate the effects of electric and magnetic charge fluctuations, and use it to investigate the stability of the topological phase by calculating the topological entropy.

Affiliated with

Also associated with

No associations

Rating

Topological phases and topological entropy of two-dimensional systems with finite correlation length 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 Topological phases and topological entropy of two-dimensional systems with finite correlation length, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological phases and topological entropy of two-dimensional systems with finite correlation length will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657123