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) $\mathrm{SU}{\left(2\right)}_2$ critical theory providing a lattice realization of the conformal embedding. On the other side of the WZW multicritical point, the Ising critical line reappears together with the eight-vertex transition. This transition is a one-dimensional realization of a deconfined quantum criticality separating the dimerized and Ising antiferromagnetic phases – two ordered phases with incompatible order parameters.

Close

PrevNext

View figure in article

• Quantum phase transitions
• Topological phases of matter
• 1-dimensional spin chains
• Conformal field theory
• Density matrix renormalization group