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We show that for the half-filled Kondo lattice model on the honeycomb latticea Kondo breakdown occurs at small Kondo couplings $J_k$ within the magneticallyordered phase. Our conclusions are based on auxiliary field quantum Monte Carlosimulations of the so-called composite fermion spectral function. Within a U(1)gauge theory formulation of the Kondo model, it becomes apparent that a Higgsmechanism dictates the weight of the resonance in the spectral function. Forthe honeycomb lattice we observe that for small $J_k$ the quasiparticle polegives way to incoherent spectral weight but it remains well defined for thesquare lattice. Our result provides an explicit example where the magnetictransition and the breakdown of heavy quasiparticles are detached as observedin Yb(Rh$_{0.93}$Co$_{0.07}$)$_2$Si$_2$ [Friedemann et al., Nat. Phys.\textbf{5}, 465 (2009)].

Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study