Realization of Wess-Zumino-Witten transitions with levels $k=6$ and $k=4$ in a frustrated spin-3 chain

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. We also 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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