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New physics arises in strongly correlated systems when a magnetic transition is driven by pressure, doping, or applied field toward a zero-temperature phase transition. Many such transitions can bedescribed by a quantum-mechanical generalization of Landau's paradigm of criticality driven by singularities associated with long-wavelengthfluctuations of the magnetic order parameter. However, experiments on a number of heavy-fermion metals provide evidence [1] for "beyond Landau"quantum critical points (QCPs) at which magnetic order arises due to a continuous destruction of the Kondo effect [2]. At these QCPs,long-wavelength and spatially local fluctuations seem to be intimately entwined. I will review the phenomenology of Kondo-destruction quantumcriticality and progress toward its theoretical description, including recent efforts to characterize the QCPs via their quantum entanglement properties [3]. [1] S. Wirth and F. Steglich, Nature Rev. Mat. 1, 16051 (2016).[2] Q. Si, S. Rabello, K. Ingersent, and J. L. Smith, Nature 413, 804(2001).[3] C. E. Wagner, T. Chowdhury, J. H. Pixley, and K. Ingersent, Phys.Rev. Lett. 121, 147602 (2018). Host: Qimiao Si |