Kavli Affiliate: Natalia Chepiga
| First 5 Authors: Niels T. Pronk, Bowy M. La Rivière, Natalia Chepiga, ,
| Summary:
We report a phase diagram of the antiferromagnetic spin-1 chain with
nearest-neighbor Heisenberg and three-site interactions in the presence of
single-ion anisotropy. We show that the Gaussian and Ising transitions that
separate the topological Haldane phase from the two anisotropic phases
eventually fuse into a higher symmetry point characterized by the
Wess-Zumino-Witten (WZW) SU(2)$_2$ critical theory providing a lattice
realization of the conformal embedding. On the other side of the WZW
multi-critical point, the Ising transition reappears together with the distinct
and exotic $c=1$ transition belonging to the eight-vertex universality class.
This transition, which separates the dimerized and Ising antiferromagnetic
phases – two ordered phases with incompatible order parameters – is thus a
one-dimensional realization of a deconfined quantum criticality.
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