摘要

We theoretically investigate electronic states and physical properties in a two-channel Anderson lattice model to understand the non-Fermi liquid behaviors observed in PrV2Al20 and PrIr2Zn20, whose ground state of the crystalline electric field for a local f-electron is the Gamma(3) non-Kramers doublet of f(2)-configuration and whose excited state is the Gamma(7) Kramers doublet of f(1)-configuration. We use the expansion from the limit of the large degeneracy N of the ground state (1/N-expansion), with N being the spin-orbital degeneracy. The inclusion of the self-energy of conduction electrons up to the order of O(1/N) leads to heavy electrons with channel and spin-orbit degeneracies. We find that the electrical resistivity is proportional to the temperature T in the limit T -> 0 and follows the root T -law in a wide temperature region, i.e., T-x < T < T-0, where the typical values of T-x and T-0 are T-x 10-3TK and T-0 similar to 10(-2)T(K), respectively, T-K being the Kondo temperature of the model. We also find non-Fermi liquid behaviors at T << T-K in a series of physical quantities; chemical potential, specific heat, and magnetic susceptibility, which explain the non-Fermi liquid behaviors observed in PrV2Al20 and PrIr2Zn20. At the same time, we find that the Fermi liquid behavior becomes prominent for the system with a small hybridization between f-and conduction electrons, explaining the Fermi liquid behaviors observed in PrTi2Al20.

  • 出版日期2015-11-15