Impurity effects of transverse Ising model with multi-impurity

• The impurity effect on the promising 1D magnetic materials is investigated.
• Impurities can induce the deviation of the quantum critical point.
• A new peak related impurity excitation appears in specific heats with the concentration >3%>3%.

We study the transverse Ising spin model with multi-impurity under the exact solution. The influence mechanisms of the concentration, configuration, impurity-inducing-interaction are investigated through the deformation energy, long-range order and the specific heat. It reveals a way that the impurities have crucial effects on the magnetic order of the system, which can be used to scale the order–disorder transition. In particular, the change of the exchange coupling interaction or magnetic field can lead to the deviation of the phase point. Moreover, the impurity excitation cannot be neglected in thermodynamic properties even though the concentration is only a few percent.