Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2012-02-05
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 5 figures - major revision of the paper - new data included in Figs. 3,4 & 5 (updated) and 6 references added
Scientific paper
We investigate the relations between bulk and boundary properties of short-range resonating valence bond wave functions using Projected Entangled Pair States. We show that, for a bipartition, the boundary Hamiltonian defined on the edge can be written as a product of a highly non-local projector, which fundamentally depends upon boundary conditions, with an emergent (local) one-dimensional (superfluid) t--J Hamiltonian, which arises due to the symmetry properties of the auxiliary spins at the edge. This multiplicative structure, a consequence of the disconnected topological sectors in the space of dimer lattice coverings, is then characteristic of the topological nature of the states. For systems with open boundary conditions, it is shown that the entanglement spectrum, which reflects the properties of the (gapped or gapless) edge modes, is a subset of the spectrum of the local Hamiltonian, also explaining the origin of the topological entanglement entropy. We propose to use these features to probe topological phases in microscopic Hamiltonians.
Cirac Juan Ignacio
Perez-Garcia David
Poilblanc Didier
Schuch Norbert
No associations
LandOfFree
Entanglement and boundary theories of Resonating Valence Bond wavefunctions 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 and boundary theories of Resonating Valence Bond wavefunctions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement and boundary theories of Resonating Valence Bond wavefunctions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-461695