Elaborating the phase diagram of spin-1 anyonic chains
Abstract
We revisit the phase diagram of spin-1 anyonic chains, originally studied by Gils {\it et. al.} [Phys. Rev. B, {\bf 87} (23) (2013)]. These chains possess several integrable points, which were overlooked (or only briefly considered) so far. Exploiting integrability through a combination of algebraic techniques and exact Bethe ansatz results, we establish in particular the presence of new first order phase transitions, a new critical point described by a parafermionic CFT, and of even more phases than originally conjectured. Our results leave room for yet more progress in the understanding of spin-1 anyonic chains.
Keywords
Cite
@article{arxiv.1611.02236,
title = {Elaborating the phase diagram of spin-1 anyonic chains},
author = {Eric Vernier and Jesper Lykke Jacobsen and Hubert Saleur},
journal= {arXiv preprint arXiv:1611.02236},
year = {2017}
}
Comments
28 pages, 8 figures Submitted to SciPost v2 : references and some discussions added, misprints corrected for the decomposition of Potts modules