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Deconfined Quantum Critical Point on the Triangular Lattice
We first propose a topological term that captures the "intertwinement"
between the standard "" antiferromagnetic order (or
the so-called 120 state) and the "" valence
solid bond (VBS) order for spin-1/2 systems on a triangular lattice. Then using
a controlled renormalization group calculation, we demonstrate that there
exists an unfine-tuned direct continuous deconfined quantum critical point
(dQCP) between the two ordered phases mentioned above. This dQCP is described
by the quantum electrodynamics (QED) with an emergent
PSU(4)=SU(4)/ symmetry only at the critical point. The topological term
aforementioned is also naturally derived from the QED. We also point
out that physics around this dQCP is analogous to the boundary of a
bosonic symmetry protected topological state with on-site symmetries only
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