Physical Properties of 1-Dimensional 4f/5f-electron Heavy Fermion Materials*

Quantum criticality has been an organizing principle to explain the behavior of many families of quantum materials including the high-temperature cuprate and iron-based superconductors and f-electron heavy fermion compounds. A central, unresolved issue is the effect on the dimensional character of the quantum fluctuations has on the properties of the system. Most work to date has focused on quantum criticality with two-dimensional (2-D) and three-dimensional (3-D) fluctuations. Strong quantum fluctuations are expected in quasi-1-D materials. Furthermore, these 1-D systems may be treated exactly by theoretical tools such as Density Matrix Renormalization Group, providing robust and accurate methods for accounting for the strong correlations in 1-D f-electron materials. In this talk, I will describe the thermodynamic and transport properties of several 4f and 5f quasi-1D heavy fermion materials.