Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy

Abstract

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 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.

6 pages, 5 figures

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Cited by in corpus (2)

• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains