Kavli Affiliate: Natalia Chepiga
| First 5 Authors: Natalia Chepiga, , , ,
| Summary:
We study dimerization transitions in a frustrated spin-3 chain with
next-nearest neighbor and three-site interactions. We show that two independent
coupling constants of the model are sufficient to fine-tune the system to the
critical point in the Wess-Zumino-Witten SU(2)$_6$ universality class. This
critical point appears as the end point of an extended SU(2)$_4$ critical line.
This implies that the renormalization group flow lead to the critical theory
with the largest level $k$ such that the number of relevant operators is
reduced by one and the parity of the level is preserved. Furthermore, we argue
that due to the presence of marginal operator there is only one point in the
SU(2)$_6$ universality class. In addition, we report the appearance of
non-magnetic Ising transition between the topologically trivial uniform and
dimerized phases. This transition takes place within the singlet sector, while
magnetic gap remains open.
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