Quantum critical scaling and fluctuations in Kondo lattice materials

Significance Quantum critical materials contain quantum critical points (QCP) associated with continuous phase transitions between ordered states at zero temperature that give rise to strong quantum fluctuations of order parameter fields. Their coupling to conduction electrons in metals typically yields logarithmic or power law scaling in their electronic properties. Here, we study a particularly interesting class of quantum critical materials, Kondo lattice materials, composed of interacting local moments and conduction electrons. We propose a phenomenological framework based on the interplay of the fluctuations associated with their antiferromagnetic and delocalization QCPs and show that it explains the many anomalous scaling properties measured in these materials.