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Pimenov, Dimitri; Punk, Matthias (2017): Deconfined quantum criticality in SU(3) antiferromagnets on the triangular lattice. In: Physical Review B, Vol. 95, No. 18, 184427
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We propose field theories for a deconfined quantum critical point in SU(3) antiferromagnets on the triangular lattice. In particular we consider the continuous transition between a magnetic, three-sublattice color-ordered phase and a trimerized SU(3) singlet phase. Starting from the magnetically ordered state we derive a critical theory in terms of fractional bosonic degrees of freedom, in close analogy to the well-developed description of the SU(2) Neel-valence bond solid (VBS) transition on the square lattice. Our critical theory consists of three coupled CP2 models and we study its fixed point structure using a functional renormalization group approach in a suitable large N limit. We find a stable critical fixed point and estimate its critical exponents, thereby providing an example of deconfined criticality beyond the universality class of the CPN model. In addition we present a complementary route towards the critical field theory by studying topological defects of the trimerized SU(3) singlet phase.