Quantum criticality in a one-dimensional Ising-anisotropic Kondo lattice model

Heavy-fermion systems have recently emerged as a playground to study quantum critical points. Here we investigate a modified Kondo lattice model in one-dimension with an additional Ising-type interaction between the localized spins. The Ising-type interaction between local moments plays the role to induce the magnetic order, and drive a magnetic phase transition from Kondo insulator phase to magnetic ordered phase. We first identify the magnetic phase transition as a continuous type. The evolution of the dynamical susceptibility across the critical point is then numerically studied by density-matrix renormalization group. We also compare our results with the locally critical point scenario governed by the Kondo breakdown picture.