Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-10-04
Phys. Rev. B 85, 115116 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
31 pages; v2: minor changes
Scientific paper
10.1103/PhysRevB.85.115116
Recently, properties of collective states of interacting non-abelian anyons have attracted a considerable attention. We study an extension of the `golden chain model', where two- and three-body interactions are competing. Upon fine-tuning the interaction, the model is integrable. This provides an additional integrable point of the model, on top of the integrable point, when the three-body interaction is absent. To solve the model, we construct a new, integrable height model, in the spirit of the restricted solid-on-solid model solved by Andrews, Baxter and Forrester. The heights in our model live on both the sites and links of the square lattice. The model is solved by means of the corner transfer matrix method. We find a connection between local height probabilities and characters of a conformal field theory governing the critical properties at the integrable point. In the antiferromagnetic regime, the criticality is described by the Z_k parafermion conformal field theory, while the su(2)_1 x su(2)_1 x su(2)_(k-2) / su(2)_k coset conformal field theory describes the ferromagnetic regime.
Ardonne Eddy
Kakashvili Paata
No associations
LandOfFree
Integrability in anyonic quantum spin chains via a composite height model 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 Integrability in anyonic quantum spin chains via a composite height model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability in anyonic quantum spin chains via a composite height model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-268701