REVIEW 1 cited by
Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We study the Renyi entropy of the one-dimensional XYZ spin-1/2 chain in the entirety of its phase diagram. The model has several quantum critical lines corresponding to rotated XXZ chains in their paramagnetic phase, and four tri-critical points where these phases join. Two of these points are described by a conformal field theory and close to them the entropy scales as the logarithm of its mass gap. The other two points are not conformal and the entropy has a peculiar singular behavior in their neighbors, characteristic of an essential singularity. At these non-conformal points the model undergoes a discontinuous transition, with a level crossing in the ground state and a quadratic excitation spectrum. We propose the entropy as an efficient tool to determine the discontinuous or continuous nature of a phase transition also in more complicated models.
Forward citations
Cited by 1 Pith paper
-
Entanglement asymmetry in the gapped XYZ spin-$\frac12$ chain
In the gapped XYZ chain, the Rényi entanglement asymmetry of a large interval is ½ log(πℓχzz) + log n/(2(n−1)), with χzz/M computed from sine-Gordon form factors.
Discussion (0). Continue with ORCID to comment.