Lonzarich, G.,Pines, D.,Yang, Y. F.

Understanding the emergence and subsequent behavior of heavy electrons in Kondo lattice materials is one of the grand challenges in condensed matter physics. From this perspective we review the progress that has been made during the past decade and suggest some directions for future research. Our focus will be on developing a new microscopic framework that incorporates the cbasic concepts that emerge from a phenomenological description of the key experimental findings.