Abstract
Recent numerical simulations with different techniques have all suggested the existence of a continuous quantum phase transition between the ${\mathbb{Z}}_{2}$ topological spin-liquid phase and a conventional N\'eel order. Motivated by this numerical progress, we propose a candidate theory for such ${\mathbb{Z}}_{2}$-N\'eel transition. We first argue on general grounds that, for a SU(2)-invariant system, this transition can not be interpreted as the condensation of spinons in the ${\mathbb{Z}}_{2}$ spin-liquid phase. Then, we propose that such ${\mathbb{Z}}_{2}$-N\'eel transition is driven by proliferating the bound state of the bosonic spinon and vison excitation of the ${\mathbb{Z}}_{2}$ spin liquid, i.e., the so-called $(e,m)$-type excitation. Universal critical exponents associated with this exotic transition are computed using $1/N$ expansion. This theory predicts that at the ${\mathbb{Z}}_{2}$-N\'eel transition, there is an emergent quasi-long-range power-law correlation of columnar valence bond solid order parameter.
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