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The quantum theory of antiferromagnetism in metals is necessary for ourunderstanding of numerous intermetallic compounds of widespread interest. Inthese systems, a quantum critical point emerges as external parameters (such aschemical doping) are varied. Because of the strong coupling nature of thiscritical point, and the "sign problem" plaguing numerical quantum Monte Carlo(QMC) methods, its theoretical understanding is still incomplete. Here, we showthat the universal low-energy theory for the onset of antiferromagnetism in ametal can be realized in lattice models, which are free from the sign problemand hence can be simulated efficiently with QMC. Our simulations show Fermisurface reconstruction and unconventional spin-singlet superconductivity acrossthe critical point.

Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals