The implementation and operation of the nonvolatile ferroelectric memory (NVM) tunnel field effect transistors with silicon-doped HfO2 is proposed and theoretically examined for the first time, showing that ferroelectric nonvolatile tunnel field effect transistor (Fe-TFET) can operate as ultra-low power nonvolatile memory even in aggressively scaled dimensions. A Fe-TFET analytical model is derived by combining the pseudo 2-D Poisson equation and Maxwell’s equation. The model describes the Fe-TFET behavior when a time-dependent voltage is applied to the device with hysteretic output characteristic due to the ferroelectric’s dipole switching. The theoretical results provide unique insights into how device geometry and ferroelectric properties affect the Fe-TFET transfer characteristic. The recently explored ferroelectric, silicon-doped HfO2 is employed as the gate ferroelectric. With the ability to engineer ferroelectricity in HfO2 thin films, a high-K dielectric well established in memory devices, the silicon-doped HfO2 opens a new route for improved manufacturability and scalability of future 1-T ferroelectric memories. In the current research, a Si:HfO2 based Fe-TFET with large memory window and low power dissipation is designed and simulated. Utilizing our presented model, the device characteristics of a Fe-TFET that takes full benefits from Si:HfO2 is compared with the same devices using well-known perovskite ferroelectrics. Finally, the Fe-TFET is compared with a conventional ferroelectric memory transistor highlighting the advantages of using tunneling memory devices.