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In this paper, we describe a mechanism by which the destruction of the Kondo coherence at the same timegives rise to antiferromagnetic ordering. This picture is in contrast to the Doniach picture of the competitionof Kondo coherence and antiferromagentic ordering. Our study is done in the honeycomb lattice at half-filling,where Kondo coherence gives rise to a Kondo insulator.We go beyond mean-field (largeN) formulation of Kondocoherence in Kondo lattices and consider excitations we call Kondo vortices. A Kondo vortex is a configurationwhere at its core the Kondo amplitude vanishes while far away from the core it retains the uniform Kondoamplitude. A Kondo vortex in our model brings four zero modes to the chemical potential. The zero modes playa crucial role as they allow us to construct spin-1 operators. We further study the transformation of these spin-1Kondo vortex operators under various symmetry transformations of the Kondo Hamiltonian and find a class ofoperators that transform like an antiferromagnetic order parameter. This gives a novel picture of how one cancreate antiferromagnetic ordering by proliferating Kondo vortices inside a Kondo coherent phase. We finish bystudying the universality class of this Kondo vortex mediated antiferromagnetic transition and conclude that it isin the O(3) universality class.United States. Dept. of Energy (Grant DE-FG02-03ER46076)National Science Foundation (U.S.) (Grant  DMR-0705255

Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice